%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV371+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV371+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 02:30:06 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(997 ^ _168741) ^ [] : [-(phi(findmin_cpq_eff(triple(993 ^ [], 994 ^ [], 995 ^ []))))], (999 ^ _168741) ^ [] : [pi_sharp_find_min(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])))], (262 ^ _168741) ^ [_177161, _177163, _177165, _177167] : [-(findmin_pq_eff(_177167, _177163) = findmin_pq_eff(_177165, _177161)), _177167 = _177165, _177163 = _177161], (272 ^ _168741) ^ [_177520, _177522, _177524, _177526] : [-(findmin_pq_res(_177526, _177522) = findmin_pq_res(_177524, _177520)), _177526 = _177524, _177522 = _177520], (282 ^ _168741) ^ [_177879, _177881, _177883, _177885] : [-(removemin_pq_eff(_177885, _177881) = removemin_pq_eff(_177883, _177879)), _177885 = _177883, _177881 = _177879], (292 ^ _168741) ^ [_178238, _178240, _178242, _178244] : [-(remove_pq(_178244, _178240) = remove_pq(_178242, _178238)), _178244 = _178242, _178240 = _178238], (302 ^ _168741) ^ [_178597, _178599, _178601, _178603] : [-(removemin_pq_res(_178603, _178599) = removemin_pq_res(_178601, _178597)), _178603 = _178601, _178599 = _178597], (312 ^ _168741) ^ [_178956, _178958, _178960, _178962] : [-(insert_cpq(_178962, _178958) = insert_cpq(_178960, _178956)), _178962 = _178960, _178958 = _178956], (322 ^ _168741) ^ [_179315, _179317, _179319, _179321] : [-(insert_pqp(_179321, _179317) = insert_pqp(_179319, _179315)), _179321 = _179319, _179317 = _179315], (332 ^ _168741) ^ [_179674, _179676, _179678, _179680] : [-(remove_pqp(_179680, _179676) = remove_pqp(_179678, _179674)), _179680 = _179678, _179676 = _179674], (342 ^ _168741) ^ [_180033, _180035, _180037, _180039] : [-(remove_slb(_180039, _180035) = remove_slb(_180037, _180033)), _180039 = _180037, _180035 = _180033], (352 ^ _168741) ^ [_180392, _180394, _180396, _180398] : [-(lookup_slb(_180398, _180394) = lookup_slb(_180396, _180392)), _180398 = _180396, _180394 = _180392], (362 ^ _168741) ^ [_180751, _180753, _180755, _180757] : [-(update_slb(_180757, _180753) = update_slb(_180755, _180751)), _180757 = _180755, _180753 = _180751], (372 ^ _168741) ^ [_181082, _181084] : [_181084 = _181082, -(findmin_pqp_res(_181084) = findmin_pqp_res(_181082))], (378 ^ _168741) ^ [_181300, _181302] : [_181302 = _181300, -(removemin_cpq_eff(_181302) = removemin_cpq_eff(_181300))], (384 ^ _168741) ^ [_181546, _181548, _181550, _181552] : [-(remove_cpq(_181552, _181548) = remove_cpq(_181550, _181546)), _181552 = _181550, _181548 = _181546], (394 ^ _168741) ^ [_181877, _181879] : [_181879 = _181877, -(removemin_cpq_res(_181879) = removemin_cpq_res(_181877))], (400 ^ _168741) ^ [_182123, _182125, _182127, _182129] : [-(insert_slb(_182129, _182125) = insert_slb(_182127, _182123)), _182129 = _182127, _182125 = _182123], (410 ^ _168741) ^ [_182482, _182484, _182486, _182488] : [-(pair(_182488, _182484) = pair(_182486, _182482)), _182488 = _182486, _182484 = _182482], (420 ^ _168741) ^ [_182841, _182843, _182845, _182847] : [-(insert_pq(_182847, _182843) = insert_pq(_182845, _182841)), _182847 = _182845, _182843 = _182841], (430 ^ _168741) ^ [_183172, _183174] : [_183174 = _183172, -(findmin_cpq_eff(_183174) = findmin_cpq_eff(_183172))], (436 ^ _168741) ^ [_183390, _183392] : [_183392 = _183390, -(i(_183392) = i(_183390))], (442 ^ _168741) ^ [_183608, _183610] : [_183610 = _183608, -(findmin_cpq_res(_183610) = findmin_cpq_res(_183608))], (448 ^ _168741) ^ [_183862, _183864, _183866, _183868, _183870, _183872] : [-(triple(_183872, _183868, _183864) = triple(_183870, _183866, _183862)), _183872 = _183870, _183868 = _183866, _183864 = _183862], (2 ^ _168741) ^ [_168885] : [-(_168885 = _168885)], (4 ^ _168741) ^ [_168992, _168994] : [_168994 = _168992, -(_168992 = _168994)], (10 ^ _168741) ^ [_169196, _169198, _169200] : [-(_169200 = _169196), _169200 = _169198, _169198 = _169196], (20 ^ _168741) ^ [_169509, _169511] : [-(isnonempty_pq(_169509)), _169511 = _169509, isnonempty_pq(_169511)], (30 ^ _168741) ^ [_169804, _169806] : [-(isnonempty_slb(_169804)), _169806 = _169804, isnonempty_slb(_169806)], (40 ^ _168741) ^ [_170155, _170157, _170159, _170161, _170163, _170165] : [-(pair_in_list(_170163, _170159, _170155)), pair_in_list(_170165, _170161, _170157), _170165 = _170163, _170161 = _170159, _170157 = _170155], (58 ^ _168741) ^ [_170736, _170738, _170740, _170742] : [-(contains_cpq(_170740, _170736)), contains_cpq(_170742, _170738), _170742 = _170740, _170738 = _170736], (72 ^ _168741) ^ [_171180, _171182, _171184, _171186] : [-(strictly_less_than(_171184, _171180)), strictly_less_than(_171186, _171182), _171186 = _171184, _171182 = _171180], (86 ^ _168741) ^ [_171624, _171626, _171628, _171630] : [-(contains_slb(_171628, _171624)), contains_slb(_171630, _171626), _171630 = _171628, _171626 = _171624], (100 ^ _168741) ^ [_172068, _172070, _172072, _172074] : [-(less_than(_172072, _172068)), less_than(_172074, _172070), _172074 = _172072, _172070 = _172068], (114 ^ _168741) ^ [_172512, _172514, _172516, _172518] : [-(pi_remove(_172516, _172512)), pi_remove(_172518, _172514), _172518 = _172516, _172514 = _172512], (128 ^ _168741) ^ [_172956, _172958, _172960, _172962] : [-(pi_sharp_remove(_172960, _172956)), pi_sharp_remove(_172962, _172958), _172962 = _172960, _172958 = _172956], (142 ^ _168741) ^ [_173372, _173374] : [-(pi_find_min(_173372)), _173374 = _173372, pi_find_min(_173374)], (152 ^ _168741) ^ [_173695, _173697, _173699, _173701] : [-(pi_sharp_removemin(_173699, _173695)), pi_sharp_removemin(_173701, _173697), _173701 = _173699, _173697 = _173695], (166 ^ _168741) ^ [_174111, _174113] : [-(pi_removemin(_174111)), _174113 = _174111, pi_removemin(_174113)], (176 ^ _168741) ^ [_174434, _174436, _174438, _174440] : [-(succ_cpq(_174438, _174434)), succ_cpq(_174440, _174436), _174440 = _174438, _174436 = _174434], (190 ^ _168741) ^ [_174850, _174852] : [-(ok(_174850)), _174852 = _174850, ok(_174852)], (200 ^ _168741) ^ [_175145, _175147] : [-(check_cpq(_175145)), _175147 = _175145, check_cpq(_175147)], (210 ^ _168741) ^ [_175468, _175470, _175472, _175474] : [-(contains_pq(_175472, _175468)), contains_pq(_175474, _175470), _175474 = _175472, _175470 = _175468], (224 ^ _168741) ^ [_175912, _175914, _175916, _175918] : [-(issmallestelement_pq(_175916, _175912)), issmallestelement_pq(_175918, _175914), _175918 = _175916, _175914 = _175912], (238 ^ _168741) ^ [_176328, _176330] : [-(phi(_176328)), _176330 = _176328, phi(_176330)], (248 ^ _168741) ^ [_176631, _176633, _176635, _176637] : [-(pi_sharp_find_min(_176635, _176631)), pi_sharp_find_min(_176637, _176633), _176637 = _176635, _176633 = _176631], (462 ^ _168741) ^ [_184477, _184479, _184481] : [-(less_than(_184481, _184477)), less_than(_184481, _184479), less_than(_184479, _184477)], (472 ^ _168741) ^ [_184786, _184788] : [-(less_than(_184788, _184786)), -(less_than(_184786, _184788))], (478 ^ _168741) ^ [_184968] : [-(less_than(_184968, _184968))], (498 ^ _168741) ^ [_185597] : [-(less_than(bottom, _185597))], (480 ^ _168741) ^ [_185104, _185106] : [strictly_less_than(_185106, _185104), 483 ^ _168741 : [(484 ^ _168741) ^ [] : [-(less_than(_185106, _185104))], (486 ^ _168741) ^ [] : [less_than(_185104, _185106)]]], (488 ^ _168741) ^ [_185342, _185344] : [-(strictly_less_than(_185344, _185342)), less_than(_185344, _185342), -(less_than(_185342, _185344))], (500 ^ _168741) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _168741) ^ [_185769, _185771] : [-(isnonempty_pq(insert_pq(_185771, _185769)))], (504 ^ _168741) ^ [_185850] : [contains_pq(create_pq, _185850)], (516 ^ _168741) ^ [_186268, _186270, _186272] : [517 ^ _168741 : [(518 ^ _168741) ^ [] : [contains_pq(_186272, _186268)], (520 ^ _168741) ^ [] : [_186270 = _186268]], -(contains_pq(insert_pq(_186272, _186270), _186268))], (506 ^ _168741) ^ [_186000, _186002, _186004] : [contains_pq(insert_pq(_186004, _186002), _186000), -(contains_pq(_186004, _186000)), -(_186002 = _186000)], (534 ^ _168741) ^ [_186911, _186913] : [536 ^ _168741 : [(537 ^ _168741) ^ [] : [-(contains_pq(_186913, 535 ^ [_186911, _186913]))], (539 ^ _168741) ^ [] : [less_than(_186911, 535 ^ [_186911, _186913])]], -(issmallestelement_pq(_186913, _186911))], (524 ^ _168741) ^ [_186597, _186599] : [issmallestelement_pq(_186599, _186597), 527 ^ _168741 : [(528 ^ _168741) ^ [_186734] : [contains_pq(_186599, _186734), -(less_than(_186597, _186734))]]], (543 ^ _168741) ^ [_187253, _187255] : [-(remove_pq(insert_pq(_187255, _187253), _187253) = _187255)], (545 ^ _168741) ^ [_187382, _187384, _187386] : [-(remove_pq(insert_pq(_187386, _187384), _187382) = insert_pq(remove_pq(_187386, _187382), _187384)), contains_pq(_187386, _187382), -(_187384 = _187382)], (555 ^ _168741) ^ [_187718, _187720] : [-(findmin_pq_eff(_187720, _187718) = _187720), contains_pq(_187720, _187718), issmallestelement_pq(_187720, _187718)], (565 ^ _168741) ^ [_188023, _188025] : [-(findmin_pq_res(_188025, _188023) = _188023), contains_pq(_188025, _188023), issmallestelement_pq(_188025, _188023)], (575 ^ _168741) ^ [_188328, _188330] : [-(removemin_pq_eff(_188330, _188328) = remove_pq(_188330, _188328)), contains_pq(_188330, _188328), issmallestelement_pq(_188330, _188328)], (595 ^ _168741) ^ [_188923, _188925, _188927] : [-(insert_pq(insert_pq(_188927, _188925), _188923) = insert_pq(insert_pq(_188927, _188923), _188925))], (585 ^ _168741) ^ [_188639, _188641] : [-(removemin_pq_res(_188641, _188639) = _188639), contains_pq(_188641, _188639), issmallestelement_pq(_188641, _188639)], (597 ^ _168741) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _168741) ^ [_189143, _189145, _189147] : [-(isnonempty_slb(insert_slb(_189147, pair(_189145, _189143))))], (601 ^ _168741) ^ [_189229] : [contains_slb(create_slb, _189229)], (613 ^ _168741) ^ [_189677, _189679, _189681, _189683] : [614 ^ _168741 : [(615 ^ _168741) ^ [] : [contains_slb(_189683, _189679)], (617 ^ _168741) ^ [] : [_189681 = _189679]], -(contains_slb(insert_slb(_189683, pair(_189681, _189677)), _189679))], (603 ^ _168741) ^ [_189393, _189395, _189397, _189399] : [contains_slb(insert_slb(_189399, pair(_189397, _189393)), _189395), -(contains_slb(_189399, _189395)), -(_189397 = _189395)], (621 ^ _168741) ^ [_189975, _189977] : [pair_in_list(create_slb, _189977, _189975)], (623 ^ _168741) ^ [_190156, _190158, _190160, _190162, _190164] : [pair_in_list(insert_slb(_190164, pair(_190162, _190158)), _190160, _190156), -(pair_in_list(_190164, _190160, _190156)), 630 ^ _168741 : [(631 ^ _168741) ^ [] : [-(_190162 = _190160)], (633 ^ _168741) ^ [] : [-(_190158 = _190156)]]], (635 ^ _168741) ^ [_190535, _190537, _190539, _190541, _190543] : [-(pair_in_list(insert_slb(_190543, pair(_190541, _190537)), _190539, _190535)), 636 ^ _168741 : [(637 ^ _168741) ^ [] : [pair_in_list(_190543, _190539, _190535)], (639 ^ _168741) ^ [] : [_190541 = _190539, _190537 = _190535]]], (647 ^ _168741) ^ [_190961, _190963, _190965] : [-(remove_slb(insert_slb(_190965, pair(_190963, _190961)), _190963) = _190965)], (649 ^ _168741) ^ [_191109, _191111, _191113, _191115] : [-(remove_slb(insert_slb(_191115, pair(_191113, _191109)), _191111) = insert_slb(remove_slb(_191115, _191111), pair(_191113, _191109))), -(_191113 = _191111), contains_slb(_191115, _191111)], (659 ^ _168741) ^ [_191466, _191468, _191470] : [-(lookup_slb(insert_slb(_191470, pair(_191468, _191466)), _191468) = _191466)], (661 ^ _168741) ^ [_191614, _191616, _191618, _191620] : [-(lookup_slb(insert_slb(_191620, pair(_191618, _191614)), _191616) = lookup_slb(_191620, _191616)), -(_191618 = _191616), contains_slb(_191620, _191616)], (671 ^ _168741) ^ [_191931] : [-(update_slb(create_slb, _191931) = create_slb)], (673 ^ _168741) ^ [_192069, _192071, _192073, _192075] : [strictly_less_than(_192069, _192071), -(update_slb(insert_slb(_192075, pair(_192073, _192069)), _192071) = insert_slb(update_slb(_192075, _192071), pair(_192073, _192071)))], (679 ^ _168741) ^ [_192335, _192337, _192339, _192341] : [less_than(_192337, _192335), -(update_slb(insert_slb(_192341, pair(_192339, _192335)), _192337) = insert_slb(update_slb(_192341, _192337), pair(_192339, _192335)))], (982 ^ _168741) ^ [_203525, _203527, _203529] : [phi(findmin_cpq_eff(triple(_203529, _203527, _203525))), -(contains_pq(i(triple(_203529, _203527, _203525)), findmin_cpq_res(triple(_203529, _203527, _203525))))], (988 ^ _168741) ^ [_203769, _203771, _203773] : [phi(findmin_cpq_eff(triple(_203773, _203771, _203769))), -(issmallestelement_pq(i(triple(_203773, _203771, _203769)), findmin_cpq_res(triple(_203773, _203771, _203769))))], (867 ^ _168741) ^ [_199545, _199547] : [-(i(triple(_199547, create_slb, _199545)) = create_pq)], (869 ^ _168741) ^ [_199687, _199689, _199691, _199693, _199695] : [-(i(triple(_199695, insert_slb(_199693, pair(_199689, _199687)), _199691)) = insert_pq(i(triple(_199695, _199693, _199691)), _199689))], (871 ^ _168741) ^ [_199852, _199854] : [pi_sharp_remove(_199854, _199852), -(contains_pq(_199854, _199852))], (877 ^ _168741) ^ [_200014, _200016] : [contains_pq(_200016, _200014), -(pi_sharp_remove(_200016, _200014))], (883 ^ _168741) ^ [_200255, _200257] : [pi_remove(_200257, _200255), -(pi_sharp_remove(i(_200257), _200255))], (889 ^ _168741) ^ [_200421, _200423] : [pi_sharp_remove(i(_200423), _200421), -(pi_remove(_200423, _200421))], (895 ^ _168741) ^ [_200666, _200668] : [pi_sharp_find_min(_200668, _200666), 898 ^ _168741 : [(899 ^ _168741) ^ [] : [-(contains_pq(_200668, _200666))], (901 ^ _168741) ^ [] : [-(issmallestelement_pq(_200668, _200666))]]], (903 ^ _168741) ^ [_200903, _200905] : [-(pi_sharp_find_min(_200905, _200903)), contains_pq(_200905, _200903), issmallestelement_pq(_200905, _200903)], (913 ^ _168741) ^ [_201219] : [pi_find_min(_201219), -(pi_sharp_find_min(i(_201219), 916 ^ [_201219]))], (920 ^ _168741) ^ [_201430] : [921 ^ _168741 : [(922 ^ _168741) ^ [_201499] : [pi_sharp_find_min(i(_201430), _201499)]], -(pi_find_min(_201430))], (926 ^ _168741) ^ [_201689, _201691] : [pi_sharp_removemin(_201691, _201689), 929 ^ _168741 : [(930 ^ _168741) ^ [] : [-(contains_pq(_201691, _201689))], (932 ^ _168741) ^ [] : [-(issmallestelement_pq(_201691, _201689))]]], (934 ^ _168741) ^ [_201926, _201928] : [-(pi_sharp_removemin(_201928, _201926)), contains_pq(_201928, _201926), issmallestelement_pq(_201928, _201926)], (944 ^ _168741) ^ [_202242] : [pi_removemin(_202242), -(pi_sharp_find_min(i(_202242), 947 ^ [_202242]))], (951 ^ _168741) ^ [_202453] : [952 ^ _168741 : [(953 ^ _168741) ^ [_202522] : [pi_sharp_find_min(i(_202453), _202522)]], -(pi_removemin(_202453))], (957 ^ _168741) ^ [_202678] : [phi(_202678), 961 ^ _168741 : [(962 ^ _168741) ^ [] : [-(succ_cpq(_202678, 960 ^ [_202678]))], (964 ^ _168741) ^ [] : [-(ok(960 ^ [_202678]))], (966 ^ _168741) ^ [] : [-(check_cpq(960 ^ [_202678]))]]], (968 ^ _168741) ^ [_203044] : [-(phi(_203044)), 969 ^ _168741 : [(970 ^ _168741) ^ [_203137] : [succ_cpq(_203044, _203137), ok(_203137), check_cpq(_203137)]]], (685 ^ _168741) ^ [_192612] : [-(succ_cpq(_192612, _192612))], (687 ^ _168741) ^ [_192733, _192735, _192737] : [succ_cpq(_192737, _192735), -(succ_cpq(_192737, insert_cpq(_192735, _192733)))], (693 ^ _168741) ^ [_192969, _192971, _192973] : [succ_cpq(_192973, _192971), -(succ_cpq(_192973, remove_cpq(_192971, _192969)))], (699 ^ _168741) ^ [_193191, _193193] : [succ_cpq(_193193, _193191), -(succ_cpq(_193193, findmin_cpq_eff(_193191)))], (705 ^ _168741) ^ [_193405, _193407] : [succ_cpq(_193407, _193405), -(succ_cpq(_193407, removemin_cpq_eff(_193405)))], (711 ^ _168741) ^ [_193604, _193606] : [-(check_cpq(triple(_193606, create_slb, _193604)))], (713 ^ _168741) ^ [_193758, _193760, _193762, _193764, _193766] : [less_than(_193758, _193760), 716 ^ _168741 : [(717 ^ _168741) ^ [] : [check_cpq(triple(_193766, insert_slb(_193764, pair(_193760, _193758)), _193762)), -(check_cpq(triple(_193766, _193764, _193762)))], (723 ^ _168741) ^ [] : [check_cpq(triple(_193766, _193764, _193762)), -(check_cpq(triple(_193766, insert_slb(_193764, pair(_193760, _193758)), _193762)))]]], (729 ^ _168741) ^ [_194344, _194346, _194348, _194350, _194352] : [strictly_less_than(_194346, _194344), 732 ^ _168741 : [(733 ^ _168741) ^ [] : [check_cpq(triple(_194352, insert_slb(_194350, pair(_194346, _194344)), _194348)), 736 ^ _168741 : [(737 ^ _168741) ^ [] : [-(false___)], (739 ^ _168741) ^ [] : [false___]]], (741 ^ _168741) ^ [] : [-(check_cpq(triple(_194352, insert_slb(_194350, pair(_194346, _194344)), _194348))), false___, -(false___)]]], (751 ^ _168741) ^ [_195091, _195093, _195095, _195097] : [contains_cpq(triple(_195097, _195095, _195093), _195091), -(contains_slb(_195095, _195091))], (757 ^ _168741) ^ [_195273, _195275, _195277, _195279] : [contains_slb(_195277, _195273), -(contains_cpq(triple(_195279, _195277, _195275), _195273))], (763 ^ _168741) ^ [_195534, _195536] : [ok(triple(_195536, _195534, bad)), 766 ^ _168741 : [(767 ^ _168741) ^ [] : [-(false___)], (769 ^ _168741) ^ [] : [false___]]], (771 ^ _168741) ^ [_195758, _195760] : [-(ok(triple(_195760, _195758, bad))), false___, -(false___)], (781 ^ _168741) ^ [_196065, _196067, _196069] : [-(ok(triple(_196069, _196067, _196065))), -(_196065 = bad)], (787 ^ _168741) ^ [_196303, _196305, _196307, _196309] : [-(insert_cpq(triple(_196309, _196307, _196305), _196303) = triple(insert_pqp(_196309, _196303), insert_slb(_196307, pair(_196303, bottom)), _196305))], (789 ^ _168741) ^ [_196464, _196466, _196468, _196470] : [-(contains_slb(_196468, _196464)), -(remove_cpq(triple(_196470, _196468, _196466), _196464) = triple(_196470, _196468, bad))], (795 ^ _168741) ^ [_196739, _196741, _196743, _196745] : [-(remove_cpq(triple(_196745, _196743, _196741), _196739) = triple(remove_pqp(_196745, _196739), remove_slb(_196743, _196739), _196741)), contains_slb(_196743, _196739), less_than(lookup_slb(_196743, _196739), _196739)], (805 ^ _168741) ^ [_197126, _197128, _197130, _197132] : [-(remove_cpq(triple(_197132, _197130, _197128), _197126) = triple(remove_pqp(_197132, _197126), remove_slb(_197130, _197126), bad)), contains_slb(_197130, _197126), strictly_less_than(_197126, lookup_slb(_197130, _197126))], (815 ^ _168741) ^ [_197470, _197472] : [-(findmin_cpq_eff(triple(_197472, create_slb, _197470)) = triple(_197472, create_slb, bad))], (817 ^ _168741) ^ [_197617, _197619, _197621, _197623] : [-(findmin_cpq_eff(triple(_197623, _197621, _197619)) = triple(_197623, update_slb(_197621, findmin_pqp_res(_197623)), bad)), -(_197621 = create_slb), -(contains_slb(_197621, findmin_pqp_res(_197623)))], (827 ^ _168741) ^ [_198004, _198006, _198008, _198010] : [-(findmin_cpq_eff(triple(_198010, _198008, _198006)) = triple(_198010, update_slb(_198008, findmin_pqp_res(_198010)), bad)), -(_198008 = create_slb), contains_slb(_198008, findmin_pqp_res(_198010)), strictly_less_than(findmin_pqp_res(_198010), lookup_slb(_198008, findmin_pqp_res(_198010)))], (855 ^ _168741) ^ [_198951, _198953] : [-(findmin_cpq_res(triple(_198953, create_slb, _198951)) = bottom)], (863 ^ _168741) ^ [_199306] : [-(removemin_cpq_eff(_199306) = remove_cpq(findmin_cpq_eff(_199306), findmin_cpq_res(_199306)))], (865 ^ _168741) ^ [_199373] : [-(removemin_cpq_res(_199373) = findmin_cpq_res(_199373))], (857 ^ _168741) ^ [_199094, _199096, _199098, _199100] : [-(_199098 = create_slb), -(findmin_cpq_res(triple(_199100, _199098, _199096)) = findmin_pqp_res(_199100))], (841 ^ _168741) ^ [_198499, _198501, _198503, _198505] : [-(findmin_cpq_eff(triple(_198505, _198503, _198501)) = triple(_198505, update_slb(_198503, findmin_pqp_res(_198505)), _198501)), -(_198503 = create_slb), contains_slb(_198503, findmin_pqp_res(_198505)), less_than(lookup_slb(_198503, findmin_pqp_res(_198505)), findmin_pqp_res(_198505))]], input).
% 0.35/1.37  ncf('1',plain,[pi_sharp_find_min(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])))],start(999 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(pi_sharp_find_min(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])))), contains_pq(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ []))), issmallestelement_pq(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])))],extension(903 ^ 1,bind([[_200903, _200905], [findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])), i(triple(993 ^ [], 994 ^ [], 995 ^ []))]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(contains_pq(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])))), phi(findmin_cpq_eff(triple(993 ^ [], 994 ^ [], 995 ^ [])))],extension(982 ^ 2,bind([[_203525, _203527, _203529], [995 ^ [], 994 ^ [], 993 ^ []]]))).
% 0.35/1.37  ncf('1.1.1.1',plain,[-(phi(findmin_cpq_eff(triple(993 ^ [], 994 ^ [], 995 ^ []))))],extension(997 ^ 3)).
% 0.35/1.37  ncf('1.1.2',plain,[-(issmallestelement_pq(i(triple(993 ^ [], 994 ^ [], 995 ^ [])), findmin_cpq_res(triple(993 ^ [], 994 ^ [], 995 ^ [])))), phi(findmin_cpq_eff(triple(993 ^ [], 994 ^ [], 995 ^ [])))],extension(988 ^ 2,bind([[_203769, _203771, _203773], [995 ^ [], 994 ^ [], 993 ^ []]]))).
% 0.35/1.37  ncf('1.1.2.1',plain,[-(phi(findmin_cpq_eff(triple(993 ^ [], 994 ^ [], 995 ^ []))))],extension(997 ^ 3)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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