%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:20:36 EDT 2023

% Result   : Theorem 100.99s 98.55s
% Output   : Proof 100.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n009.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 02:39:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 100.99/98.55  
% 100.99/98.55  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 100.99/98.55  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.99/98.55  %-----------------------------------------------------
% 100.99/98.55  ncf(matrix, plain, [(988 ^ _166936) ^ [] : [i(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ [])], (262 ^ _166936) ^ [_175356, _175358, _175360, _175362] : [-(findmin_pq_eff(_175362, _175358) = findmin_pq_eff(_175360, _175356)), _175362 = _175360, _175358 = _175356], (272 ^ _166936) ^ [_175715, _175717, _175719, _175721] : [-(findmin_pq_res(_175721, _175717) = findmin_pq_res(_175719, _175715)), _175721 = _175719, _175717 = _175715], (282 ^ _166936) ^ [_176074, _176076, _176078, _176080] : [-(removemin_pq_eff(_176080, _176076) = removemin_pq_eff(_176078, _176074)), _176080 = _176078, _176076 = _176074], (292 ^ _166936) ^ [_176433, _176435, _176437, _176439] : [-(remove_pq(_176439, _176435) = remove_pq(_176437, _176433)), _176439 = _176437, _176435 = _176433], (302 ^ _166936) ^ [_176792, _176794, _176796, _176798] : [-(removemin_pq_res(_176798, _176794) = removemin_pq_res(_176796, _176792)), _176798 = _176796, _176794 = _176792], (312 ^ _166936) ^ [_177151, _177153, _177155, _177157] : [-(insert_pqp(_177157, _177153) = insert_pqp(_177155, _177151)), _177157 = _177155, _177153 = _177151], (322 ^ _166936) ^ [_177510, _177512, _177514, _177516] : [-(remove_pqp(_177516, _177512) = remove_pqp(_177514, _177510)), _177516 = _177514, _177512 = _177510], (332 ^ _166936) ^ [_177869, _177871, _177873, _177875] : [-(remove_slb(_177875, _177871) = remove_slb(_177873, _177869)), _177875 = _177873, _177871 = _177869], (342 ^ _166936) ^ [_178228, _178230, _178232, _178234] : [-(lookup_slb(_178234, _178230) = lookup_slb(_178232, _178228)), _178234 = _178232, _178230 = _178228], (352 ^ _166936) ^ [_178587, _178589, _178591, _178593] : [-(update_slb(_178593, _178589) = update_slb(_178591, _178587)), _178593 = _178591, _178589 = _178587], (362 ^ _166936) ^ [_178918, _178920] : [_178920 = _178918, -(findmin_pqp_res(_178920) = findmin_pqp_res(_178918))], (368 ^ _166936) ^ [_179136, _179138] : [_179138 = _179136, -(removemin_cpq_eff(_179138) = removemin_cpq_eff(_179136))], (374 ^ _166936) ^ [_179382, _179384, _179386, _179388] : [-(remove_cpq(_179388, _179384) = remove_cpq(_179386, _179382)), _179388 = _179386, _179384 = _179382], (384 ^ _166936) ^ [_179713, _179715] : [_179715 = _179713, -(findmin_cpq_eff(_179715) = findmin_cpq_eff(_179713))], (390 ^ _166936) ^ [_179931, _179933] : [_179933 = _179931, -(removemin_cpq_res(_179933) = removemin_cpq_res(_179931))], (396 ^ _166936) ^ [_180149, _180151] : [_180151 = _180149, -(findmin_cpq_res(_180151) = findmin_cpq_res(_180149))], (402 ^ _166936) ^ [_180395, _180397, _180399, _180401] : [-(insert_slb(_180401, _180397) = insert_slb(_180399, _180395)), _180401 = _180399, _180397 = _180395], (412 ^ _166936) ^ [_180754, _180756, _180758, _180760] : [-(pair(_180760, _180756) = pair(_180758, _180754)), _180760 = _180758, _180756 = _180754], (422 ^ _166936) ^ [_181113, _181115, _181117, _181119] : [-(insert_cpq(_181119, _181115) = insert_cpq(_181117, _181113)), _181119 = _181117, _181115 = _181113], (432 ^ _166936) ^ [_181472, _181474, _181476, _181478] : [-(insert_pq(_181478, _181474) = insert_pq(_181476, _181472)), _181478 = _181476, _181474 = _181472], (442 ^ _166936) ^ [_181803, _181805] : [_181805 = _181803, -(i(_181805) = i(_181803))], (448 ^ _166936) ^ [_182057, _182059, _182061, _182063, _182065, _182067] : [-(triple(_182067, _182063, _182059) = triple(_182065, _182061, _182057)), _182067 = _182065, _182063 = _182061, _182059 = _182057], (2 ^ _166936) ^ [_167080] : [-(_167080 = _167080)], (4 ^ _166936) ^ [_167187, _167189] : [_167189 = _167187, -(_167187 = _167189)], (10 ^ _166936) ^ [_167391, _167393, _167395] : [-(_167395 = _167391), _167395 = _167393, _167393 = _167391], (20 ^ _166936) ^ [_167704, _167706] : [-(isnonempty_pq(_167704)), _167706 = _167704, isnonempty_pq(_167706)], (30 ^ _166936) ^ [_167999, _168001] : [-(isnonempty_slb(_167999)), _168001 = _167999, isnonempty_slb(_168001)], (40 ^ _166936) ^ [_168350, _168352, _168354, _168356, _168358, _168360] : [-(pair_in_list(_168358, _168354, _168350)), pair_in_list(_168360, _168356, _168352), _168360 = _168358, _168356 = _168354, _168352 = _168350], (58 ^ _166936) ^ [_168931, _168933, _168935, _168937] : [-(contains_cpq(_168935, _168931)), contains_cpq(_168937, _168933), _168937 = _168935, _168933 = _168931], (72 ^ _166936) ^ [_169375, _169377, _169379, _169381] : [-(strictly_less_than(_169379, _169375)), strictly_less_than(_169381, _169377), _169381 = _169379, _169377 = _169375], (86 ^ _166936) ^ [_169819, _169821, _169823, _169825] : [-(contains_slb(_169823, _169819)), contains_slb(_169825, _169821), _169825 = _169823, _169821 = _169819], (100 ^ _166936) ^ [_170263, _170265, _170267, _170269] : [-(less_than(_170267, _170263)), less_than(_170269, _170265), _170269 = _170267, _170265 = _170263], (114 ^ _166936) ^ [_170707, _170709, _170711, _170713] : [-(pi_remove(_170711, _170707)), pi_remove(_170713, _170709), _170713 = _170711, _170709 = _170707], (128 ^ _166936) ^ [_171151, _171153, _171155, _171157] : [-(pi_sharp_remove(_171155, _171151)), pi_sharp_remove(_171157, _171153), _171157 = _171155, _171153 = _171151], (142 ^ _166936) ^ [_171567, _171569] : [-(pi_find_min(_171567)), _171569 = _171567, pi_find_min(_171569)], (152 ^ _166936) ^ [_171890, _171892, _171894, _171896] : [-(pi_sharp_removemin(_171894, _171890)), pi_sharp_removemin(_171896, _171892), _171896 = _171894, _171892 = _171890], (166 ^ _166936) ^ [_172334, _172336, _172338, _172340] : [-(contains_pq(_172338, _172334)), contains_pq(_172340, _172336), _172340 = _172338, _172336 = _172334], (180 ^ _166936) ^ [_172778, _172780, _172782, _172784] : [-(issmallestelement_pq(_172782, _172778)), issmallestelement_pq(_172784, _172780), _172784 = _172782, _172780 = _172778], (194 ^ _166936) ^ [_173194, _173196] : [-(pi_removemin(_173194)), _173196 = _173194, pi_removemin(_173196)], (204 ^ _166936) ^ [_173517, _173519, _173521, _173523] : [-(pi_sharp_find_min(_173521, _173517)), pi_sharp_find_min(_173523, _173519), _173523 = _173521, _173519 = _173517], (218 ^ _166936) ^ [_173933, _173935] : [-(phi(_173933)), _173935 = _173933, phi(_173935)], (228 ^ _166936) ^ [_174256, _174258, _174260, _174262] : [-(succ_cpq(_174260, _174256)), succ_cpq(_174262, _174258), _174262 = _174260, _174258 = _174256], (242 ^ _166936) ^ [_174672, _174674] : [-(ok(_174672)), _174674 = _174672, ok(_174674)], (252 ^ _166936) ^ [_174947, _174949] : [-(check_cpq(_174947)), _174949 = _174947, check_cpq(_174949)], (462 ^ _166936) ^ [_182672, _182674, _182676] : [-(less_than(_182676, _182672)), less_than(_182676, _182674), less_than(_182674, _182672)], (472 ^ _166936) ^ [_182981, _182983] : [-(less_than(_182983, _182981)), -(less_than(_182981, _182983))], (478 ^ _166936) ^ [_183163] : [-(less_than(_183163, _183163))], (498 ^ _166936) ^ [_183792] : [-(less_than(bottom, _183792))], (480 ^ _166936) ^ [_183299, _183301] : [strictly_less_than(_183301, _183299), 483 ^ _166936 : [(484 ^ _166936) ^ [] : [-(less_than(_183301, _183299))], (486 ^ _166936) ^ [] : [less_than(_183299, _183301)]]], (488 ^ _166936) ^ [_183537, _183539] : [-(strictly_less_than(_183539, _183537)), less_than(_183539, _183537), -(less_than(_183537, _183539))], (500 ^ _166936) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _166936) ^ [_183964, _183966] : [-(isnonempty_pq(insert_pq(_183966, _183964)))], (504 ^ _166936) ^ [_184045] : [contains_pq(create_pq, _184045)], (516 ^ _166936) ^ [_184463, _184465, _184467] : [517 ^ _166936 : [(518 ^ _166936) ^ [] : [contains_pq(_184467, _184463)], (520 ^ _166936) ^ [] : [_184465 = _184463]], -(contains_pq(insert_pq(_184467, _184465), _184463))], (506 ^ _166936) ^ [_184195, _184197, _184199] : [contains_pq(insert_pq(_184199, _184197), _184195), -(contains_pq(_184199, _184195)), -(_184197 = _184195)], (534 ^ _166936) ^ [_185106, _185108] : [536 ^ _166936 : [(537 ^ _166936) ^ [] : [-(contains_pq(_185108, 535 ^ [_185106, _185108]))], (539 ^ _166936) ^ [] : [less_than(_185106, 535 ^ [_185106, _185108])]], -(issmallestelement_pq(_185108, _185106))], (524 ^ _166936) ^ [_184792, _184794] : [issmallestelement_pq(_184794, _184792), 527 ^ _166936 : [(528 ^ _166936) ^ [_184929] : [contains_pq(_184794, _184929), -(less_than(_184792, _184929))]]], (543 ^ _166936) ^ [_185448, _185450] : [-(remove_pq(insert_pq(_185450, _185448), _185448) = _185450)], (545 ^ _166936) ^ [_185577, _185579, _185581] : [-(remove_pq(insert_pq(_185581, _185579), _185577) = insert_pq(remove_pq(_185581, _185577), _185579)), contains_pq(_185581, _185577), -(_185579 = _185577)], (555 ^ _166936) ^ [_185913, _185915] : [-(findmin_pq_eff(_185915, _185913) = _185915), contains_pq(_185915, _185913), issmallestelement_pq(_185915, _185913)], (565 ^ _166936) ^ [_186218, _186220] : [-(findmin_pq_res(_186220, _186218) = _186218), contains_pq(_186220, _186218), issmallestelement_pq(_186220, _186218)], (575 ^ _166936) ^ [_186523, _186525] : [-(removemin_pq_eff(_186525, _186523) = remove_pq(_186525, _186523)), contains_pq(_186525, _186523), issmallestelement_pq(_186525, _186523)], (595 ^ _166936) ^ [_187118, _187120, _187122] : [-(insert_pq(insert_pq(_187122, _187120), _187118) = insert_pq(insert_pq(_187122, _187118), _187120))], (585 ^ _166936) ^ [_186834, _186836] : [-(removemin_pq_res(_186836, _186834) = _186834), contains_pq(_186836, _186834), issmallestelement_pq(_186836, _186834)], (597 ^ _166936) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _166936) ^ [_187338, _187340, _187342] : [-(isnonempty_slb(insert_slb(_187342, pair(_187340, _187338))))], (601 ^ _166936) ^ [_187424] : [contains_slb(create_slb, _187424)], (613 ^ _166936) ^ [_187872, _187874, _187876, _187878] : [614 ^ _166936 : [(615 ^ _166936) ^ [] : [contains_slb(_187878, _187874)], (617 ^ _166936) ^ [] : [_187876 = _187874]], -(contains_slb(insert_slb(_187878, pair(_187876, _187872)), _187874))], (603 ^ _166936) ^ [_187588, _187590, _187592, _187594] : [contains_slb(insert_slb(_187594, pair(_187592, _187588)), _187590), -(contains_slb(_187594, _187590)), -(_187592 = _187590)], (621 ^ _166936) ^ [_188170, _188172] : [pair_in_list(create_slb, _188172, _188170)], (623 ^ _166936) ^ [_188351, _188353, _188355, _188357, _188359] : [pair_in_list(insert_slb(_188359, pair(_188357, _188353)), _188355, _188351), -(pair_in_list(_188359, _188355, _188351)), 630 ^ _166936 : [(631 ^ _166936) ^ [] : [-(_188357 = _188355)], (633 ^ _166936) ^ [] : [-(_188353 = _188351)]]], (635 ^ _166936) ^ [_188730, _188732, _188734, _188736, _188738] : [-(pair_in_list(insert_slb(_188738, pair(_188736, _188732)), _188734, _188730)), 636 ^ _166936 : [(637 ^ _166936) ^ [] : [pair_in_list(_188738, _188734, _188730)], (639 ^ _166936) ^ [] : [_188736 = _188734, _188732 = _188730]]], (647 ^ _166936) ^ [_189156, _189158, _189160] : [-(remove_slb(insert_slb(_189160, pair(_189158, _189156)), _189158) = _189160)], (649 ^ _166936) ^ [_189304, _189306, _189308, _189310] : [-(remove_slb(insert_slb(_189310, pair(_189308, _189304)), _189306) = insert_slb(remove_slb(_189310, _189306), pair(_189308, _189304))), -(_189308 = _189306), contains_slb(_189310, _189306)], (659 ^ _166936) ^ [_189661, _189663, _189665] : [-(lookup_slb(insert_slb(_189665, pair(_189663, _189661)), _189663) = _189661)], (661 ^ _166936) ^ [_189809, _189811, _189813, _189815] : [-(lookup_slb(insert_slb(_189815, pair(_189813, _189809)), _189811) = lookup_slb(_189815, _189811)), -(_189813 = _189811), contains_slb(_189815, _189811)], (671 ^ _166936) ^ [_190126] : [-(update_slb(create_slb, _190126) = create_slb)], (673 ^ _166936) ^ [_190264, _190266, _190268, _190270] : [strictly_less_than(_190264, _190266), -(update_slb(insert_slb(_190270, pair(_190268, _190264)), _190266) = insert_slb(update_slb(_190270, _190266), pair(_190268, _190266)))], (679 ^ _166936) ^ [_190530, _190532, _190534, _190536] : [less_than(_190532, _190530), -(update_slb(insert_slb(_190536, pair(_190534, _190530)), _190532) = insert_slb(update_slb(_190536, _190532), pair(_190534, _190530)))], (982 ^ _166936) ^ [_201713, _201715, _201717, _201719, _201721] : [-(i(triple(_201721, _201717, _201715)) = i(triple(_201719, _201717, _201713)))], (867 ^ _166936) ^ [_197740, _197742] : [-(i(triple(_197742, create_slb, _197740)) = create_pq)], (869 ^ _166936) ^ [_197882, _197884, _197886, _197888, _197890] : [-(i(triple(_197890, insert_slb(_197888, pair(_197884, _197882)), _197886)) = insert_pq(i(triple(_197890, _197888, _197886)), _197884))], (871 ^ _166936) ^ [_198047, _198049] : [pi_sharp_remove(_198049, _198047), -(contains_pq(_198049, _198047))], (877 ^ _166936) ^ [_198209, _198211] : [contains_pq(_198211, _198209), -(pi_sharp_remove(_198211, _198209))], (883 ^ _166936) ^ [_198450, _198452] : [pi_remove(_198452, _198450), -(pi_sharp_remove(i(_198452), _198450))], (889 ^ _166936) ^ [_198616, _198618] : [pi_sharp_remove(i(_198618), _198616), -(pi_remove(_198618, _198616))], (895 ^ _166936) ^ [_198861, _198863] : [pi_sharp_find_min(_198863, _198861), 898 ^ _166936 : [(899 ^ _166936) ^ [] : [-(contains_pq(_198863, _198861))], (901 ^ _166936) ^ [] : [-(issmallestelement_pq(_198863, _198861))]]], (903 ^ _166936) ^ [_199098, _199100] : [-(pi_sharp_find_min(_199100, _199098)), contains_pq(_199100, _199098), issmallestelement_pq(_199100, _199098)], (913 ^ _166936) ^ [_199414] : [pi_find_min(_199414), -(pi_sharp_find_min(i(_199414), 916 ^ [_199414]))], (920 ^ _166936) ^ [_199625] : [921 ^ _166936 : [(922 ^ _166936) ^ [_199694] : [pi_sharp_find_min(i(_199625), _199694)]], -(pi_find_min(_199625))], (926 ^ _166936) ^ [_199884, _199886] : [pi_sharp_removemin(_199886, _199884), 929 ^ _166936 : [(930 ^ _166936) ^ [] : [-(contains_pq(_199886, _199884))], (932 ^ _166936) ^ [] : [-(issmallestelement_pq(_199886, _199884))]]], (934 ^ _166936) ^ [_200121, _200123] : [-(pi_sharp_removemin(_200123, _200121)), contains_pq(_200123, _200121), issmallestelement_pq(_200123, _200121)], (944 ^ _166936) ^ [_200437] : [pi_removemin(_200437), -(pi_sharp_find_min(i(_200437), 947 ^ [_200437]))], (951 ^ _166936) ^ [_200648] : [952 ^ _166936 : [(953 ^ _166936) ^ [_200717] : [pi_sharp_find_min(i(_200648), _200717)]], -(pi_removemin(_200648))], (957 ^ _166936) ^ [_200873] : [phi(_200873), 961 ^ _166936 : [(962 ^ _166936) ^ [] : [-(succ_cpq(_200873, 960 ^ [_200873]))], (964 ^ _166936) ^ [] : [-(ok(960 ^ [_200873]))], (966 ^ _166936) ^ [] : [-(check_cpq(960 ^ [_200873]))]]], (968 ^ _166936) ^ [_201239] : [-(phi(_201239)), 969 ^ _166936 : [(970 ^ _166936) ^ [_201332] : [succ_cpq(_201239, _201332), ok(_201332), check_cpq(_201332)]]], (685 ^ _166936) ^ [_190807] : [-(succ_cpq(_190807, _190807))], (687 ^ _166936) ^ [_190928, _190930, _190932] : [succ_cpq(_190932, _190930), -(succ_cpq(_190932, insert_cpq(_190930, _190928)))], (693 ^ _166936) ^ [_191164, _191166, _191168] : [succ_cpq(_191168, _191166), -(succ_cpq(_191168, remove_cpq(_191166, _191164)))], (699 ^ _166936) ^ [_191386, _191388] : [succ_cpq(_191388, _191386), -(succ_cpq(_191388, findmin_cpq_eff(_191386)))], (705 ^ _166936) ^ [_191600, _191602] : [succ_cpq(_191602, _191600), -(succ_cpq(_191602, removemin_cpq_eff(_191600)))], (711 ^ _166936) ^ [_191799, _191801] : [-(check_cpq(triple(_191801, create_slb, _191799)))], (713 ^ _166936) ^ [_191953, _191955, _191957, _191959, _191961] : [less_than(_191953, _191955), 716 ^ _166936 : [(717 ^ _166936) ^ [] : [check_cpq(triple(_191961, insert_slb(_191959, pair(_191955, _191953)), _191957)), -(check_cpq(triple(_191961, _191959, _191957)))], (723 ^ _166936) ^ [] : [check_cpq(triple(_191961, _191959, _191957)), -(check_cpq(triple(_191961, insert_slb(_191959, pair(_191955, _191953)), _191957)))]]], (729 ^ _166936) ^ [_192539, _192541, _192543, _192545, _192547] : [strictly_less_than(_192541, _192539), 732 ^ _166936 : [(733 ^ _166936) ^ [] : [check_cpq(triple(_192547, insert_slb(_192545, pair(_192541, _192539)), _192543)), 736 ^ _166936 : [(737 ^ _166936) ^ [] : [-(false___)], (739 ^ _166936) ^ [] : [false___]]], (741 ^ _166936) ^ [] : [-(check_cpq(triple(_192547, insert_slb(_192545, pair(_192541, _192539)), _192543))), false___, -(false___)]]], (751 ^ _166936) ^ [_193286, _193288, _193290, _193292] : [contains_cpq(triple(_193292, _193290, _193288), _193286), -(contains_slb(_193290, _193286))], (757 ^ _166936) ^ [_193468, _193470, _193472, _193474] : [contains_slb(_193472, _193468), -(contains_cpq(triple(_193474, _193472, _193470), _193468))], (763 ^ _166936) ^ [_193729, _193731] : [ok(triple(_193731, _193729, bad)), 766 ^ _166936 : [(767 ^ _166936) ^ [] : [-(false___)], (769 ^ _166936) ^ [] : [false___]]], (771 ^ _166936) ^ [_193953, _193955] : [-(ok(triple(_193955, _193953, bad))), false___, -(false___)], (781 ^ _166936) ^ [_194260, _194262, _194264] : [-(ok(triple(_194264, _194262, _194260))), -(_194260 = bad)], (787 ^ _166936) ^ [_194498, _194500, _194502, _194504] : [-(insert_cpq(triple(_194504, _194502, _194500), _194498) = triple(insert_pqp(_194504, _194498), insert_slb(_194502, pair(_194498, bottom)), _194500))], (789 ^ _166936) ^ [_194659, _194661, _194663, _194665] : [-(contains_slb(_194663, _194659)), -(remove_cpq(triple(_194665, _194663, _194661), _194659) = triple(_194665, _194663, bad))], (795 ^ _166936) ^ [_194934, _194936, _194938, _194940] : [-(remove_cpq(triple(_194940, _194938, _194936), _194934) = triple(remove_pqp(_194940, _194934), remove_slb(_194938, _194934), _194936)), contains_slb(_194938, _194934), less_than(lookup_slb(_194938, _194934), _194934)], (805 ^ _166936) ^ [_195321, _195323, _195325, _195327] : [-(remove_cpq(triple(_195327, _195325, _195323), _195321) = triple(remove_pqp(_195327, _195321), remove_slb(_195325, _195321), bad)), contains_slb(_195325, _195321), strictly_less_than(_195321, lookup_slb(_195325, _195321))], (815 ^ _166936) ^ [_195665, _195667] : [-(findmin_cpq_eff(triple(_195667, create_slb, _195665)) = triple(_195667, create_slb, bad))], (817 ^ _166936) ^ [_195812, _195814, _195816, _195818] : [-(findmin_cpq_eff(triple(_195818, _195816, _195814)) = triple(_195818, update_slb(_195816, findmin_pqp_res(_195818)), bad)), -(_195816 = create_slb), -(contains_slb(_195816, findmin_pqp_res(_195818)))], (827 ^ _166936) ^ [_196199, _196201, _196203, _196205] : [-(findmin_cpq_eff(triple(_196205, _196203, _196201)) = triple(_196205, update_slb(_196203, findmin_pqp_res(_196205)), bad)), -(_196203 = create_slb), contains_slb(_196203, findmin_pqp_res(_196205)), strictly_less_than(findmin_pqp_res(_196205), lookup_slb(_196203, findmin_pqp_res(_196205)))], (855 ^ _166936) ^ [_197146, _197148] : [-(findmin_cpq_res(triple(_197148, create_slb, _197146)) = bottom)], (863 ^ _166936) ^ [_197501] : [-(removemin_cpq_eff(_197501) = remove_cpq(findmin_cpq_eff(_197501), findmin_cpq_res(_197501)))], (865 ^ _166936) ^ [_197568] : [-(removemin_cpq_res(_197568) = findmin_cpq_res(_197568))], (857 ^ _166936) ^ [_197289, _197291, _197293, _197295] : [-(_197293 = create_slb), -(findmin_cpq_res(triple(_197295, _197293, _197291)) = findmin_pqp_res(_197295))], (841 ^ _166936) ^ [_196694, _196696, _196698, _196700] : [-(findmin_cpq_eff(triple(_196700, _196698, _196696)) = triple(_196700, update_slb(_196698, findmin_pqp_res(_196700)), _196696)), -(_196698 = create_slb), contains_slb(_196698, findmin_pqp_res(_196700)), less_than(lookup_slb(_196698, findmin_pqp_res(_196700)), findmin_pqp_res(_196700))]], input).
% 100.99/98.55  ncf('1',plain,[i(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ [])],start(988 ^ 0)).
% 100.99/98.55  ncf('1.1',plain,[-(i(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ [])), i(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ [])) = i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])), i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ [])],extension(10 ^ 1,bind([[_167391, _167393, _167395], [insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ []), i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])), i(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ []))]]))).
% 100.99/98.55  ncf('1.1.1',plain,[-(i(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ [])) = i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ []))), insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ []) = triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])],extension(442 ^ 2,bind([[_181803, _181805], [triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ []), insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ [])]]))).
% 100.99/98.55  ncf('1.1.1.1',plain,[-(insert_cpq(triple(983 ^ [], 984 ^ [], 985 ^ []), 986 ^ []) = triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ []))],extension(787 ^ 3,bind([[_194498, _194500, _194502, _194504], [986 ^ [], 985 ^ [], 984 ^ [], 983 ^ []]]))).
% 100.99/98.55  ncf('1.1.2',plain,[-(i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ [])), i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])) = i(triple(983 ^ [], insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])), i(triple(983 ^ [], insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ [])],extension(10 ^ 2,bind([[_167391, _167393, _167395], [insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ []), i(triple(983 ^ [], insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])), i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ []))]]))).
% 100.99/98.55  ncf('1.1.2.1',plain,[-(i(triple(insert_pqp(983 ^ [], 986 ^ []), insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])) = i(triple(983 ^ [], insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])))],extension(982 ^ 3,bind([[_201713, _201715, _201717, _201719, _201721], [985 ^ [], 985 ^ [], insert_slb(984 ^ [], pair(986 ^ [], bottom)), 983 ^ [], insert_pqp(983 ^ [], 986 ^ [])]]))).
% 100.99/98.55  ncf('1.1.2.2',plain,[-(i(triple(983 ^ [], insert_slb(984 ^ [], pair(986 ^ [], bottom)), 985 ^ [])) = insert_pq(i(triple(983 ^ [], 984 ^ [], 985 ^ [])), 986 ^ []))],extension(869 ^ 3,bind([[_197882, _197884, _197886, _197888, _197890], [bottom, 986 ^ [], 985 ^ [], 984 ^ [], 983 ^ []]]))).
% 100.99/98.55  %-----------------------------------------------------
% 100.99/98.55  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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