%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV417+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 0.36s 1.38s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV417+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.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 02:37:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.38  
% 0.36/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  ncf(matrix, plain, [(991 ^ _170799) ^ [] : [-(pi_find_min(triple(987 ^ [], 988 ^ [], 989 ^ [])))], (993 ^ _170799) ^ [] : [-(phi(findmin_cpq_eff(triple(987 ^ [], 988 ^ [], 989 ^ []))))], (995 ^ _170799) ^ [_206411] : [pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), _206411), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_pq_res(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), _206411)], (262 ^ _170799) ^ [_179219, _179221, _179223, _179225] : [-(findmin_pq_eff(_179225, _179221) = findmin_pq_eff(_179223, _179219)), _179225 = _179223, _179221 = _179219], (272 ^ _170799) ^ [_179578, _179580, _179582, _179584] : [-(removemin_pq_eff(_179584, _179580) = removemin_pq_eff(_179582, _179578)), _179584 = _179582, _179580 = _179578], (282 ^ _170799) ^ [_179937, _179939, _179941, _179943] : [-(remove_pq(_179943, _179939) = remove_pq(_179941, _179937)), _179943 = _179941, _179939 = _179937], (292 ^ _170799) ^ [_180296, _180298, _180300, _180302] : [-(removemin_pq_res(_180302, _180298) = removemin_pq_res(_180300, _180296)), _180302 = _180300, _180298 = _180296], (302 ^ _170799) ^ [_180655, _180657, _180659, _180661] : [-(insert_cpq(_180661, _180657) = insert_cpq(_180659, _180655)), _180661 = _180659, _180657 = _180655], (312 ^ _170799) ^ [_181014, _181016, _181018, _181020] : [-(insert_pqp(_181020, _181016) = insert_pqp(_181018, _181014)), _181020 = _181018, _181016 = _181014], (322 ^ _170799) ^ [_181373, _181375, _181377, _181379] : [-(remove_pqp(_181379, _181375) = remove_pqp(_181377, _181373)), _181379 = _181377, _181375 = _181373], (332 ^ _170799) ^ [_181732, _181734, _181736, _181738] : [-(remove_slb(_181738, _181734) = remove_slb(_181736, _181732)), _181738 = _181736, _181734 = _181732], (342 ^ _170799) ^ [_182091, _182093, _182095, _182097] : [-(lookup_slb(_182097, _182093) = lookup_slb(_182095, _182091)), _182097 = _182095, _182093 = _182091], (352 ^ _170799) ^ [_182450, _182452, _182454, _182456] : [-(update_slb(_182456, _182452) = update_slb(_182454, _182450)), _182456 = _182454, _182452 = _182450], (362 ^ _170799) ^ [_182781, _182783] : [_182783 = _182781, -(findmin_pqp_res(_182783) = findmin_pqp_res(_182781))], (368 ^ _170799) ^ [_182999, _183001] : [_183001 = _182999, -(removemin_cpq_eff(_183001) = removemin_cpq_eff(_182999))], (374 ^ _170799) ^ [_183245, _183247, _183249, _183251] : [-(remove_cpq(_183251, _183247) = remove_cpq(_183249, _183245)), _183251 = _183249, _183247 = _183245], (384 ^ _170799) ^ [_183576, _183578] : [_183578 = _183576, -(removemin_cpq_res(_183578) = removemin_cpq_res(_183576))], (390 ^ _170799) ^ [_183822, _183824, _183826, _183828] : [-(insert_slb(_183828, _183824) = insert_slb(_183826, _183822)), _183828 = _183826, _183824 = _183822], (400 ^ _170799) ^ [_184181, _184183, _184185, _184187] : [-(pair(_184187, _184183) = pair(_184185, _184181)), _184187 = _184185, _184183 = _184181], (410 ^ _170799) ^ [_184540, _184542, _184544, _184546] : [-(insert_pq(_184546, _184542) = insert_pq(_184544, _184540)), _184546 = _184544, _184542 = _184540], (420 ^ _170799) ^ [_184871, _184873] : [_184873 = _184871, -(findmin_cpq_eff(_184873) = findmin_cpq_eff(_184871))], (426 ^ _170799) ^ [_185089, _185091] : [_185091 = _185089, -(findmin_cpq_res(_185091) = findmin_cpq_res(_185089))], (432 ^ _170799) ^ [_185335, _185337, _185339, _185341] : [-(findmin_pq_res(_185341, _185337) = findmin_pq_res(_185339, _185335)), _185341 = _185339, _185337 = _185335], (442 ^ _170799) ^ [_185666, _185668] : [_185668 = _185666, -(i(_185668) = i(_185666))], (448 ^ _170799) ^ [_185920, _185922, _185924, _185926, _185928, _185930] : [-(triple(_185930, _185926, _185922) = triple(_185928, _185924, _185920)), _185930 = _185928, _185926 = _185924, _185922 = _185920], (2 ^ _170799) ^ [_170943] : [-(_170943 = _170943)], (4 ^ _170799) ^ [_171050, _171052] : [_171052 = _171050, -(_171050 = _171052)], (10 ^ _170799) ^ [_171254, _171256, _171258] : [-(_171258 = _171254), _171258 = _171256, _171256 = _171254], (20 ^ _170799) ^ [_171567, _171569] : [-(isnonempty_pq(_171567)), _171569 = _171567, isnonempty_pq(_171569)], (30 ^ _170799) ^ [_171862, _171864] : [-(isnonempty_slb(_171862)), _171864 = _171862, isnonempty_slb(_171864)], (40 ^ _170799) ^ [_172213, _172215, _172217, _172219, _172221, _172223] : [-(pair_in_list(_172221, _172217, _172213)), pair_in_list(_172223, _172219, _172215), _172223 = _172221, _172219 = _172217, _172215 = _172213], (58 ^ _170799) ^ [_172794, _172796, _172798, _172800] : [-(contains_cpq(_172798, _172794)), contains_cpq(_172800, _172796), _172800 = _172798, _172796 = _172794], (72 ^ _170799) ^ [_173238, _173240, _173242, _173244] : [-(strictly_less_than(_173242, _173238)), strictly_less_than(_173244, _173240), _173244 = _173242, _173240 = _173238], (86 ^ _170799) ^ [_173682, _173684, _173686, _173688] : [-(contains_slb(_173686, _173682)), contains_slb(_173688, _173684), _173688 = _173686, _173684 = _173682], (100 ^ _170799) ^ [_174126, _174128, _174130, _174132] : [-(less_than(_174130, _174126)), less_than(_174132, _174128), _174132 = _174130, _174128 = _174126], (114 ^ _170799) ^ [_174570, _174572, _174574, _174576] : [-(pi_remove(_174574, _174570)), pi_remove(_174576, _174572), _174576 = _174574, _174572 = _174570], (128 ^ _170799) ^ [_175014, _175016, _175018, _175020] : [-(pi_sharp_remove(_175018, _175014)), pi_sharp_remove(_175020, _175016), _175020 = _175018, _175016 = _175014], (142 ^ _170799) ^ [_175458, _175460, _175462, _175464] : [-(pi_sharp_removemin(_175462, _175458)), pi_sharp_removemin(_175464, _175460), _175464 = _175462, _175460 = _175458], (156 ^ _170799) ^ [_175902, _175904, _175906, _175908] : [-(contains_pq(_175906, _175902)), contains_pq(_175908, _175904), _175908 = _175906, _175904 = _175902], (170 ^ _170799) ^ [_176346, _176348, _176350, _176352] : [-(issmallestelement_pq(_176350, _176346)), issmallestelement_pq(_176352, _176348), _176352 = _176350, _176348 = _176346], (184 ^ _170799) ^ [_176762, _176764] : [-(pi_removemin(_176762)), _176764 = _176762, pi_removemin(_176764)], (194 ^ _170799) ^ [_177085, _177087, _177089, _177091] : [-(succ_cpq(_177089, _177085)), succ_cpq(_177091, _177087), _177091 = _177089, _177087 = _177085], (208 ^ _170799) ^ [_177501, _177503] : [-(ok(_177501)), _177503 = _177501, ok(_177503)], (218 ^ _170799) ^ [_177796, _177798] : [-(check_cpq(_177796)), _177798 = _177796, check_cpq(_177798)], (228 ^ _170799) ^ [_178091, _178093] : [-(pi_find_min(_178091)), _178093 = _178091, pi_find_min(_178093)], (238 ^ _170799) ^ [_178386, _178388] : [-(phi(_178386)), _178388 = _178386, phi(_178388)], (248 ^ _170799) ^ [_178689, _178691, _178693, _178695] : [-(pi_sharp_find_min(_178693, _178689)), pi_sharp_find_min(_178695, _178691), _178695 = _178693, _178691 = _178689], (462 ^ _170799) ^ [_186535, _186537, _186539] : [-(less_than(_186539, _186535)), less_than(_186539, _186537), less_than(_186537, _186535)], (472 ^ _170799) ^ [_186844, _186846] : [-(less_than(_186846, _186844)), -(less_than(_186844, _186846))], (478 ^ _170799) ^ [_187026] : [-(less_than(_187026, _187026))], (498 ^ _170799) ^ [_187655] : [-(less_than(bottom, _187655))], (480 ^ _170799) ^ [_187162, _187164] : [strictly_less_than(_187164, _187162), 483 ^ _170799 : [(484 ^ _170799) ^ [] : [-(less_than(_187164, _187162))], (486 ^ _170799) ^ [] : [less_than(_187162, _187164)]]], (488 ^ _170799) ^ [_187400, _187402] : [-(strictly_less_than(_187402, _187400)), less_than(_187402, _187400), -(less_than(_187400, _187402))], (500 ^ _170799) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _170799) ^ [_187827, _187829] : [-(isnonempty_pq(insert_pq(_187829, _187827)))], (504 ^ _170799) ^ [_187908] : [contains_pq(create_pq, _187908)], (516 ^ _170799) ^ [_188326, _188328, _188330] : [517 ^ _170799 : [(518 ^ _170799) ^ [] : [contains_pq(_188330, _188326)], (520 ^ _170799) ^ [] : [_188328 = _188326]], -(contains_pq(insert_pq(_188330, _188328), _188326))], (506 ^ _170799) ^ [_188058, _188060, _188062] : [contains_pq(insert_pq(_188062, _188060), _188058), -(contains_pq(_188062, _188058)), -(_188060 = _188058)], (534 ^ _170799) ^ [_188969, _188971] : [536 ^ _170799 : [(537 ^ _170799) ^ [] : [-(contains_pq(_188971, 535 ^ [_188969, _188971]))], (539 ^ _170799) ^ [] : [less_than(_188969, 535 ^ [_188969, _188971])]], -(issmallestelement_pq(_188971, _188969))], (524 ^ _170799) ^ [_188655, _188657] : [issmallestelement_pq(_188657, _188655), 527 ^ _170799 : [(528 ^ _170799) ^ [_188792] : [contains_pq(_188657, _188792), -(less_than(_188655, _188792))]]], (543 ^ _170799) ^ [_189311, _189313] : [-(remove_pq(insert_pq(_189313, _189311), _189311) = _189313)], (545 ^ _170799) ^ [_189440, _189442, _189444] : [-(remove_pq(insert_pq(_189444, _189442), _189440) = insert_pq(remove_pq(_189444, _189440), _189442)), contains_pq(_189444, _189440), -(_189442 = _189440)], (555 ^ _170799) ^ [_189776, _189778] : [-(findmin_pq_eff(_189778, _189776) = _189778), contains_pq(_189778, _189776), issmallestelement_pq(_189778, _189776)], (565 ^ _170799) ^ [_190081, _190083] : [-(findmin_pq_res(_190083, _190081) = _190081), contains_pq(_190083, _190081), issmallestelement_pq(_190083, _190081)], (575 ^ _170799) ^ [_190386, _190388] : [-(removemin_pq_eff(_190388, _190386) = remove_pq(_190388, _190386)), contains_pq(_190388, _190386), issmallestelement_pq(_190388, _190386)], (595 ^ _170799) ^ [_190981, _190983, _190985] : [-(insert_pq(insert_pq(_190985, _190983), _190981) = insert_pq(insert_pq(_190985, _190981), _190983))], (585 ^ _170799) ^ [_190697, _190699] : [-(removemin_pq_res(_190699, _190697) = _190697), contains_pq(_190699, _190697), issmallestelement_pq(_190699, _190697)], (597 ^ _170799) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _170799) ^ [_191201, _191203, _191205] : [-(isnonempty_slb(insert_slb(_191205, pair(_191203, _191201))))], (601 ^ _170799) ^ [_191287] : [contains_slb(create_slb, _191287)], (613 ^ _170799) ^ [_191735, _191737, _191739, _191741] : [614 ^ _170799 : [(615 ^ _170799) ^ [] : [contains_slb(_191741, _191737)], (617 ^ _170799) ^ [] : [_191739 = _191737]], -(contains_slb(insert_slb(_191741, pair(_191739, _191735)), _191737))], (603 ^ _170799) ^ [_191451, _191453, _191455, _191457] : [contains_slb(insert_slb(_191457, pair(_191455, _191451)), _191453), -(contains_slb(_191457, _191453)), -(_191455 = _191453)], (621 ^ _170799) ^ [_192033, _192035] : [pair_in_list(create_slb, _192035, _192033)], (623 ^ _170799) ^ [_192214, _192216, _192218, _192220, _192222] : [pair_in_list(insert_slb(_192222, pair(_192220, _192216)), _192218, _192214), -(pair_in_list(_192222, _192218, _192214)), 630 ^ _170799 : [(631 ^ _170799) ^ [] : [-(_192220 = _192218)], (633 ^ _170799) ^ [] : [-(_192216 = _192214)]]], (635 ^ _170799) ^ [_192593, _192595, _192597, _192599, _192601] : [-(pair_in_list(insert_slb(_192601, pair(_192599, _192595)), _192597, _192593)), 636 ^ _170799 : [(637 ^ _170799) ^ [] : [pair_in_list(_192601, _192597, _192593)], (639 ^ _170799) ^ [] : [_192599 = _192597, _192595 = _192593]]], (647 ^ _170799) ^ [_193019, _193021, _193023] : [-(remove_slb(insert_slb(_193023, pair(_193021, _193019)), _193021) = _193023)], (649 ^ _170799) ^ [_193167, _193169, _193171, _193173] : [-(remove_slb(insert_slb(_193173, pair(_193171, _193167)), _193169) = insert_slb(remove_slb(_193173, _193169), pair(_193171, _193167))), -(_193171 = _193169), contains_slb(_193173, _193169)], (659 ^ _170799) ^ [_193524, _193526, _193528] : [-(lookup_slb(insert_slb(_193528, pair(_193526, _193524)), _193526) = _193524)], (661 ^ _170799) ^ [_193672, _193674, _193676, _193678] : [-(lookup_slb(insert_slb(_193678, pair(_193676, _193672)), _193674) = lookup_slb(_193678, _193674)), -(_193676 = _193674), contains_slb(_193678, _193674)], (671 ^ _170799) ^ [_193989] : [-(update_slb(create_slb, _193989) = create_slb)], (673 ^ _170799) ^ [_194127, _194129, _194131, _194133] : [strictly_less_than(_194127, _194129), -(update_slb(insert_slb(_194133, pair(_194131, _194127)), _194129) = insert_slb(update_slb(_194133, _194129), pair(_194131, _194129)))], (679 ^ _170799) ^ [_194393, _194395, _194397, _194399] : [less_than(_194395, _194393), -(update_slb(insert_slb(_194399, pair(_194397, _194393)), _194395) = insert_slb(update_slb(_194399, _194395), pair(_194397, _194393)))], (982 ^ _170799) ^ [_205563, _205565, _205567] : [phi(findmin_cpq_eff(triple(_205567, _205565, _205563))), -(pi_sharp_find_min(i(triple(_205567, _205565, _205563)), findmin_cpq_res(triple(_205567, _205565, _205563))))], (867 ^ _170799) ^ [_201603, _201605] : [-(i(triple(_201605, create_slb, _201603)) = create_pq)], (869 ^ _170799) ^ [_201745, _201747, _201749, _201751, _201753] : [-(i(triple(_201753, insert_slb(_201751, pair(_201747, _201745)), _201749)) = insert_pq(i(triple(_201753, _201751, _201749)), _201747))], (871 ^ _170799) ^ [_201910, _201912] : [pi_sharp_remove(_201912, _201910), -(contains_pq(_201912, _201910))], (877 ^ _170799) ^ [_202072, _202074] : [contains_pq(_202074, _202072), -(pi_sharp_remove(_202074, _202072))], (883 ^ _170799) ^ [_202313, _202315] : [pi_remove(_202315, _202313), -(pi_sharp_remove(i(_202315), _202313))], (889 ^ _170799) ^ [_202479, _202481] : [pi_sharp_remove(i(_202481), _202479), -(pi_remove(_202481, _202479))], (895 ^ _170799) ^ [_202724, _202726] : [pi_sharp_find_min(_202726, _202724), 898 ^ _170799 : [(899 ^ _170799) ^ [] : [-(contains_pq(_202726, _202724))], (901 ^ _170799) ^ [] : [-(issmallestelement_pq(_202726, _202724))]]], (903 ^ _170799) ^ [_202961, _202963] : [-(pi_sharp_find_min(_202963, _202961)), contains_pq(_202963, _202961), issmallestelement_pq(_202963, _202961)], (913 ^ _170799) ^ [_203277] : [pi_find_min(_203277), -(pi_sharp_find_min(i(_203277), 916 ^ [_203277]))], (920 ^ _170799) ^ [_203488] : [921 ^ _170799 : [(922 ^ _170799) ^ [_203557] : [pi_sharp_find_min(i(_203488), _203557)]], -(pi_find_min(_203488))], (926 ^ _170799) ^ [_203747, _203749] : [pi_sharp_removemin(_203749, _203747), 929 ^ _170799 : [(930 ^ _170799) ^ [] : [-(contains_pq(_203749, _203747))], (932 ^ _170799) ^ [] : [-(issmallestelement_pq(_203749, _203747))]]], (934 ^ _170799) ^ [_203984, _203986] : [-(pi_sharp_removemin(_203986, _203984)), contains_pq(_203986, _203984), issmallestelement_pq(_203986, _203984)], (944 ^ _170799) ^ [_204300] : [pi_removemin(_204300), -(pi_sharp_find_min(i(_204300), 947 ^ [_204300]))], (951 ^ _170799) ^ [_204511] : [952 ^ _170799 : [(953 ^ _170799) ^ [_204580] : [pi_sharp_find_min(i(_204511), _204580)]], -(pi_removemin(_204511))], (957 ^ _170799) ^ [_204736] : [phi(_204736), 961 ^ _170799 : [(962 ^ _170799) ^ [] : [-(succ_cpq(_204736, 960 ^ [_204736]))], (964 ^ _170799) ^ [] : [-(ok(960 ^ [_204736]))], (966 ^ _170799) ^ [] : [-(check_cpq(960 ^ [_204736]))]]], (968 ^ _170799) ^ [_205102] : [-(phi(_205102)), 969 ^ _170799 : [(970 ^ _170799) ^ [_205195] : [succ_cpq(_205102, _205195), ok(_205195), check_cpq(_205195)]]], (685 ^ _170799) ^ [_194670] : [-(succ_cpq(_194670, _194670))], (687 ^ _170799) ^ [_194791, _194793, _194795] : [succ_cpq(_194795, _194793), -(succ_cpq(_194795, insert_cpq(_194793, _194791)))], (693 ^ _170799) ^ [_195027, _195029, _195031] : [succ_cpq(_195031, _195029), -(succ_cpq(_195031, remove_cpq(_195029, _195027)))], (699 ^ _170799) ^ [_195249, _195251] : [succ_cpq(_195251, _195249), -(succ_cpq(_195251, findmin_cpq_eff(_195249)))], (705 ^ _170799) ^ [_195463, _195465] : [succ_cpq(_195465, _195463), -(succ_cpq(_195465, removemin_cpq_eff(_195463)))], (711 ^ _170799) ^ [_195662, _195664] : [-(check_cpq(triple(_195664, create_slb, _195662)))], (713 ^ _170799) ^ [_195816, _195818, _195820, _195822, _195824] : [less_than(_195816, _195818), 716 ^ _170799 : [(717 ^ _170799) ^ [] : [check_cpq(triple(_195824, insert_slb(_195822, pair(_195818, _195816)), _195820)), -(check_cpq(triple(_195824, _195822, _195820)))], (723 ^ _170799) ^ [] : [check_cpq(triple(_195824, _195822, _195820)), -(check_cpq(triple(_195824, insert_slb(_195822, pair(_195818, _195816)), _195820)))]]], (729 ^ _170799) ^ [_196402, _196404, _196406, _196408, _196410] : [strictly_less_than(_196404, _196402), 732 ^ _170799 : [(733 ^ _170799) ^ [] : [check_cpq(triple(_196410, insert_slb(_196408, pair(_196404, _196402)), _196406)), 736 ^ _170799 : [(737 ^ _170799) ^ [] : [-(false___)], (739 ^ _170799) ^ [] : [false___]]], (741 ^ _170799) ^ [] : [-(check_cpq(triple(_196410, insert_slb(_196408, pair(_196404, _196402)), _196406))), false___, -(false___)]]], (751 ^ _170799) ^ [_197149, _197151, _197153, _197155] : [contains_cpq(triple(_197155, _197153, _197151), _197149), -(contains_slb(_197153, _197149))], (757 ^ _170799) ^ [_197331, _197333, _197335, _197337] : [contains_slb(_197335, _197331), -(contains_cpq(triple(_197337, _197335, _197333), _197331))], (763 ^ _170799) ^ [_197592, _197594] : [ok(triple(_197594, _197592, bad)), 766 ^ _170799 : [(767 ^ _170799) ^ [] : [-(false___)], (769 ^ _170799) ^ [] : [false___]]], (771 ^ _170799) ^ [_197816, _197818] : [-(ok(triple(_197818, _197816, bad))), false___, -(false___)], (781 ^ _170799) ^ [_198123, _198125, _198127] : [-(ok(triple(_198127, _198125, _198123))), -(_198123 = bad)], (787 ^ _170799) ^ [_198361, _198363, _198365, _198367] : [-(insert_cpq(triple(_198367, _198365, _198363), _198361) = triple(insert_pqp(_198367, _198361), insert_slb(_198365, pair(_198361, bottom)), _198363))], (789 ^ _170799) ^ [_198522, _198524, _198526, _198528] : [-(contains_slb(_198526, _198522)), -(remove_cpq(triple(_198528, _198526, _198524), _198522) = triple(_198528, _198526, bad))], (795 ^ _170799) ^ [_198797, _198799, _198801, _198803] : [-(remove_cpq(triple(_198803, _198801, _198799), _198797) = triple(remove_pqp(_198803, _198797), remove_slb(_198801, _198797), _198799)), contains_slb(_198801, _198797), less_than(lookup_slb(_198801, _198797), _198797)], (805 ^ _170799) ^ [_199184, _199186, _199188, _199190] : [-(remove_cpq(triple(_199190, _199188, _199186), _199184) = triple(remove_pqp(_199190, _199184), remove_slb(_199188, _199184), bad)), contains_slb(_199188, _199184), strictly_less_than(_199184, lookup_slb(_199188, _199184))], (815 ^ _170799) ^ [_199528, _199530] : [-(findmin_cpq_eff(triple(_199530, create_slb, _199528)) = triple(_199530, create_slb, bad))], (817 ^ _170799) ^ [_199675, _199677, _199679, _199681] : [-(findmin_cpq_eff(triple(_199681, _199679, _199677)) = triple(_199681, update_slb(_199679, findmin_pqp_res(_199681)), bad)), -(_199679 = create_slb), -(contains_slb(_199679, findmin_pqp_res(_199681)))], (827 ^ _170799) ^ [_200062, _200064, _200066, _200068] : [-(findmin_cpq_eff(triple(_200068, _200066, _200064)) = triple(_200068, update_slb(_200066, findmin_pqp_res(_200068)), bad)), -(_200066 = create_slb), contains_slb(_200066, findmin_pqp_res(_200068)), strictly_less_than(findmin_pqp_res(_200068), lookup_slb(_200066, findmin_pqp_res(_200068)))], (855 ^ _170799) ^ [_201009, _201011] : [-(findmin_cpq_res(triple(_201011, create_slb, _201009)) = bottom)], (863 ^ _170799) ^ [_201364] : [-(removemin_cpq_eff(_201364) = remove_cpq(findmin_cpq_eff(_201364), findmin_cpq_res(_201364)))], (865 ^ _170799) ^ [_201431] : [-(removemin_cpq_res(_201431) = findmin_cpq_res(_201431))], (857 ^ _170799) ^ [_201152, _201154, _201156, _201158] : [-(_201156 = create_slb), -(findmin_cpq_res(triple(_201158, _201156, _201154)) = findmin_pqp_res(_201158))], (841 ^ _170799) ^ [_200557, _200559, _200561, _200563] : [-(findmin_cpq_eff(triple(_200563, _200561, _200559)) = triple(_200563, update_slb(_200561, findmin_pqp_res(_200563)), _200559)), -(_200561 = create_slb), contains_slb(_200561, findmin_pqp_res(_200563)), less_than(lookup_slb(_200561, findmin_pqp_res(_200563)), findmin_pqp_res(_200563))]], input).
% 0.36/1.38  ncf('1',plain,[pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_pq_res(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))],start(995 ^ 0,bind([[_206411], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.1',plain,[-(pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))), pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))), i(triple(987 ^ [], 988 ^ [], 989 ^ [])) = i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))],extension(248 ^ 1,bind([[_178689, _178691, _178693, _178695], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.1.1',plain,[-(pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))), pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))), i(triple(987 ^ [], 988 ^ [], 989 ^ [])) = i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))],extension(248 ^ 2,bind([[_178689, _178691, _178693, _178695], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.1.1.1',plain,[-(pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))), phi(findmin_cpq_eff(triple(987 ^ [], 988 ^ [], 989 ^ [])))],extension(982 ^ 3,bind([[_205563, _205565, _205567], [989 ^ [], 988 ^ [], 987 ^ []]]))).
% 0.36/1.38  ncf('1.1.1.1.1',plain,[-(phi(findmin_cpq_eff(triple(987 ^ [], 988 ^ [], 989 ^ []))))],extension(993 ^ 4)).
% 0.36/1.38  ncf('1.1.1.2',plain,[-(i(triple(987 ^ [], 988 ^ [], 989 ^ [])) = i(triple(987 ^ [], 988 ^ [], 989 ^ [])))],extension(2 ^ 3,bind([[_170943], [i(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.1.1.3',plain,[-(findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))],extension(2 ^ 3,bind([[_170943], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.1.2',plain,[-(i(triple(987 ^ [], 988 ^ [], 989 ^ [])) = i(triple(987 ^ [], 988 ^ [], 989 ^ []))), triple(987 ^ [], 988 ^ [], 989 ^ []) = triple(987 ^ [], 988 ^ [], 989 ^ [])],extension(442 ^ 2,bind([[_185666, _185668], [triple(987 ^ [], 988 ^ [], 989 ^ []), triple(987 ^ [], 988 ^ [], 989 ^ [])]]))).
% 0.36/1.38  ncf('1.1.2.1',plain,[-(triple(987 ^ [], 988 ^ [], 989 ^ []) = triple(987 ^ [], 988 ^ [], 989 ^ []))],extension(2 ^ 3,bind([[_170943], [triple(987 ^ [], 988 ^ [], 989 ^ [])]]))).
% 0.36/1.38  ncf('1.1.3',plain,[-(findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))), triple(987 ^ [], 988 ^ [], 989 ^ []) = triple(987 ^ [], 988 ^ [], 989 ^ [])],extension(426 ^ 2,bind([[_185089, _185091], [triple(987 ^ [], 988 ^ [], 989 ^ []), triple(987 ^ [], 988 ^ [], 989 ^ [])]]))).
% 0.36/1.38  ncf('1.1.3.1',plain,[-(triple(987 ^ [], 988 ^ [], 989 ^ []) = triple(987 ^ [], 988 ^ [], 989 ^ []))],extension(2 ^ 3,bind([[_170943], [triple(987 ^ [], 988 ^ [], 989 ^ [])]]))).
% 0.36/1.38  ncf('1.2',plain,[-(findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])) = findmin_pq_res(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))), findmin_pq_res(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))) = findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))],extension(4 ^ 1,bind([[_171050, _171052], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_pq_res(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))]]))).
% 0.36/1.38  ncf('1.2.1',plain,[-(findmin_pq_res(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))) = findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))), contains_pq(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))), issmallestelement_pq(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))],extension(565 ^ 2,bind([[_190081, _190083], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.2.1.1',plain,[-(contains_pq(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))), pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))],extension(895 ^ 3,bind([[_202724, _202726], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.2.1.1.1',plain,[-(pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))))],lemmata('x')).
% 0.36/1.38  ncf('1.2.1.2',plain,[-(issmallestelement_pq(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))), pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])))],extension(895 ^ 3,bind([[_202724, _202726], [findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ [])), i(triple(987 ^ [], 988 ^ [], 989 ^ []))]]))).
% 0.36/1.38  ncf('1.2.1.2.1',plain,[-(pi_sharp_find_min(i(triple(987 ^ [], 988 ^ [], 989 ^ [])), findmin_cpq_res(triple(987 ^ [], 988 ^ [], 989 ^ []))))],lemmata('x')).
% 0.36/1.38  %-----------------------------------------------------
% 0.36/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------