%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 12:20:33 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May 19 02:16:18 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(589 ^ _111928) ^ [] : [check_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []))], (591 ^ _111928) ^ [] : [-(check_cpq(findmin_cpq_eff(triple(585 ^ [], 586 ^ [], 587 ^ []))))], (593 ^ _111928) ^ [] : [-(ok(findmin_cpq_eff(triple(585 ^ [], 586 ^ [], 587 ^ []))))], (2 ^ _111928) ^ [_112072] : [-(_112072 = _112072)], (4 ^ _111928) ^ [_112179, _112181] : [_112181 = _112179, -(_112179 = _112181)], (10 ^ _111928) ^ [_112383, _112385, _112387] : [-(_112387 = _112383), _112387 = _112385, _112385 = _112383], (20 ^ _111928) ^ [_112696, _112698] : [-(isnonempty_slb(_112696)), _112698 = _112696, isnonempty_slb(_112698)], (30 ^ _111928) ^ [_113047, _113049, _113051, _113053, _113055, _113057] : [-(pair_in_list(_113055, _113051, _113047)), pair_in_list(_113057, _113053, _113049), _113057 = _113055, _113053 = _113051, _113049 = _113047], (48 ^ _111928) ^ [_113628, _113630, _113632, _113634] : [-(succ_cpq(_113632, _113628)), succ_cpq(_113634, _113630), _113634 = _113632, _113630 = _113628], (62 ^ _111928) ^ [_114072, _114074, _114076, _114078] : [-(contains_cpq(_114076, _114072)), contains_cpq(_114078, _114074), _114078 = _114076, _114074 = _114072], (76 ^ _111928) ^ [_114516, _114518, _114520, _114522] : [-(strictly_less_than(_114520, _114516)), strictly_less_than(_114522, _114518), _114522 = _114520, _114518 = _114516], (90 ^ _111928) ^ [_114960, _114962, _114964, _114966] : [-(contains_slb(_114964, _114960)), contains_slb(_114966, _114962), _114966 = _114964, _114962 = _114960], (104 ^ _111928) ^ [_115404, _115406, _115408, _115410] : [-(less_than(_115408, _115404)), less_than(_115410, _115406), _115410 = _115408, _115406 = _115404], (118 ^ _111928) ^ [_115820, _115822] : [-(check_cpq(_115820)), _115822 = _115820, check_cpq(_115822)], (128 ^ _111928) ^ [_116095, _116097] : [-(ok(_116095)), _116097 = _116095, ok(_116097)], (138 ^ _111928) ^ [_116440, _116442, _116444, _116446] : [-(insert_cpq(_116446, _116442) = insert_cpq(_116444, _116440)), _116446 = _116444, _116442 = _116440], (148 ^ _111928) ^ [_116799, _116801, _116803, _116805] : [-(insert_pqp(_116805, _116801) = insert_pqp(_116803, _116799)), _116805 = _116803, _116801 = _116799], (158 ^ _111928) ^ [_117158, _117160, _117162, _117164] : [-(insert_slb(_117164, _117160) = insert_slb(_117162, _117158)), _117164 = _117162, _117160 = _117158], (168 ^ _111928) ^ [_117517, _117519, _117521, _117523] : [-(pair(_117523, _117519) = pair(_117521, _117517)), _117523 = _117521, _117519 = _117517], (178 ^ _111928) ^ [_117876, _117878, _117880, _117882] : [-(remove_pqp(_117882, _117878) = remove_pqp(_117880, _117876)), _117882 = _117880, _117878 = _117876], (188 ^ _111928) ^ [_118235, _118237, _118239, _118241] : [-(remove_slb(_118241, _118237) = remove_slb(_118239, _118235)), _118241 = _118239, _118237 = _118235], (198 ^ _111928) ^ [_118594, _118596, _118598, _118600] : [-(lookup_slb(_118600, _118596) = lookup_slb(_118598, _118594)), _118600 = _118598, _118596 = _118594], (208 ^ _111928) ^ [_118953, _118955, _118957, _118959] : [-(update_slb(_118959, _118955) = update_slb(_118957, _118953)), _118959 = _118957, _118955 = _118953], (218 ^ _111928) ^ [_119284, _119286] : [_119286 = _119284, -(findmin_pqp_res(_119286) = findmin_pqp_res(_119284))], (224 ^ _111928) ^ [_119502, _119504] : [_119504 = _119502, -(removemin_cpq_eff(_119504) = removemin_cpq_eff(_119502))], (230 ^ _111928) ^ [_119748, _119750, _119752, _119754] : [-(remove_cpq(_119754, _119750) = remove_cpq(_119752, _119748)), _119754 = _119752, _119750 = _119748], (240 ^ _111928) ^ [_120079, _120081] : [_120081 = _120079, -(removemin_cpq_res(_120081) = removemin_cpq_res(_120079))], (246 ^ _111928) ^ [_120297, _120299] : [_120299 = _120297, -(findmin_cpq_res(_120299) = findmin_cpq_res(_120297))], (252 ^ _111928) ^ [_120515, _120517] : [_120517 = _120515, -(findmin_cpq_eff(_120517) = findmin_cpq_eff(_120515))], (258 ^ _111928) ^ [_120769, _120771, _120773, _120775, _120777, _120779] : [-(triple(_120779, _120775, _120771) = triple(_120777, _120773, _120769)), _120779 = _120777, _120775 = _120773, _120771 = _120769], (272 ^ _111928) ^ [_121347, _121349, _121351] : [-(less_than(_121351, _121347)), less_than(_121351, _121349), less_than(_121349, _121347)], (282 ^ _111928) ^ [_121656, _121658] : [-(less_than(_121658, _121656)), -(less_than(_121656, _121658))], (288 ^ _111928) ^ [_121838] : [-(less_than(_121838, _121838))], (308 ^ _111928) ^ [_122467] : [-(less_than(bottom, _122467))], (290 ^ _111928) ^ [_121974, _121976] : [strictly_less_than(_121976, _121974), 293 ^ _111928 : [(294 ^ _111928) ^ [] : [-(less_than(_121976, _121974))], (296 ^ _111928) ^ [] : [less_than(_121974, _121976)]]], (298 ^ _111928) ^ [_122212, _122214] : [-(strictly_less_than(_122214, _122212)), less_than(_122214, _122212), -(less_than(_122212, _122214))], (310 ^ _111928) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _111928) ^ [_122653, _122655, _122657] : [-(isnonempty_slb(insert_slb(_122657, pair(_122655, _122653))))], (314 ^ _111928) ^ [_122739] : [contains_slb(create_slb, _122739)], (326 ^ _111928) ^ [_123187, _123189, _123191, _123193] : [327 ^ _111928 : [(328 ^ _111928) ^ [] : [contains_slb(_123193, _123189)], (330 ^ _111928) ^ [] : [_123191 = _123189]], -(contains_slb(insert_slb(_123193, pair(_123191, _123187)), _123189))], (316 ^ _111928) ^ [_122903, _122905, _122907, _122909] : [contains_slb(insert_slb(_122909, pair(_122907, _122903)), _122905), -(contains_slb(_122909, _122905)), -(_122907 = _122905)], (334 ^ _111928) ^ [_123485, _123487] : [pair_in_list(create_slb, _123487, _123485)], (336 ^ _111928) ^ [_123666, _123668, _123670, _123672, _123674] : [pair_in_list(insert_slb(_123674, pair(_123672, _123668)), _123670, _123666), -(pair_in_list(_123674, _123670, _123666)), 343 ^ _111928 : [(344 ^ _111928) ^ [] : [-(_123672 = _123670)], (346 ^ _111928) ^ [] : [-(_123668 = _123666)]]], (348 ^ _111928) ^ [_124045, _124047, _124049, _124051, _124053] : [-(pair_in_list(insert_slb(_124053, pair(_124051, _124047)), _124049, _124045)), 349 ^ _111928 : [(350 ^ _111928) ^ [] : [pair_in_list(_124053, _124049, _124045)], (352 ^ _111928) ^ [] : [_124051 = _124049, _124047 = _124045]]], (360 ^ _111928) ^ [_124471, _124473, _124475] : [-(remove_slb(insert_slb(_124475, pair(_124473, _124471)), _124473) = _124475)], (362 ^ _111928) ^ [_124619, _124621, _124623, _124625] : [-(remove_slb(insert_slb(_124625, pair(_124623, _124619)), _124621) = insert_slb(remove_slb(_124625, _124621), pair(_124623, _124619))), -(_124623 = _124621), contains_slb(_124625, _124621)], (372 ^ _111928) ^ [_124976, _124978, _124980] : [-(lookup_slb(insert_slb(_124980, pair(_124978, _124976)), _124978) = _124976)], (374 ^ _111928) ^ [_125124, _125126, _125128, _125130] : [-(lookup_slb(insert_slb(_125130, pair(_125128, _125124)), _125126) = lookup_slb(_125130, _125126)), -(_125128 = _125126), contains_slb(_125130, _125126)], (384 ^ _111928) ^ [_125441] : [-(update_slb(create_slb, _125441) = create_slb)], (386 ^ _111928) ^ [_125579, _125581, _125583, _125585] : [strictly_less_than(_125579, _125581), -(update_slb(insert_slb(_125585, pair(_125583, _125579)), _125581) = insert_slb(update_slb(_125585, _125581), pair(_125583, _125581)))], (392 ^ _111928) ^ [_125845, _125847, _125849, _125851] : [less_than(_125847, _125845), -(update_slb(insert_slb(_125851, pair(_125849, _125845)), _125847) = insert_slb(update_slb(_125851, _125847), pair(_125849, _125845)))], (580 ^ _111928) ^ [_133044, _133046, _133048] : [-(check_cpq(triple(_133048, _133046, _133044))), check_cpq(findmin_cpq_eff(triple(_133048, _133046, _133044)))], (398 ^ _111928) ^ [_126122] : [-(succ_cpq(_126122, _126122))], (400 ^ _111928) ^ [_126243, _126245, _126247] : [succ_cpq(_126247, _126245), -(succ_cpq(_126247, insert_cpq(_126245, _126243)))], (406 ^ _111928) ^ [_126479, _126481, _126483] : [succ_cpq(_126483, _126481), -(succ_cpq(_126483, remove_cpq(_126481, _126479)))], (412 ^ _111928) ^ [_126701, _126703] : [succ_cpq(_126703, _126701), -(succ_cpq(_126703, findmin_cpq_eff(_126701)))], (418 ^ _111928) ^ [_126915, _126917] : [succ_cpq(_126917, _126915), -(succ_cpq(_126917, removemin_cpq_eff(_126915)))], (424 ^ _111928) ^ [_127114, _127116] : [-(check_cpq(triple(_127116, create_slb, _127114)))], (426 ^ _111928) ^ [_127268, _127270, _127272, _127274, _127276] : [less_than(_127268, _127270), 429 ^ _111928 : [(430 ^ _111928) ^ [] : [check_cpq(triple(_127276, insert_slb(_127274, pair(_127270, _127268)), _127272)), -(check_cpq(triple(_127276, _127274, _127272)))], (436 ^ _111928) ^ [] : [check_cpq(triple(_127276, _127274, _127272)), -(check_cpq(triple(_127276, insert_slb(_127274, pair(_127270, _127268)), _127272)))]]], (442 ^ _111928) ^ [_127854, _127856, _127858, _127860, _127862] : [strictly_less_than(_127856, _127854), 445 ^ _111928 : [(446 ^ _111928) ^ [] : [check_cpq(triple(_127862, insert_slb(_127860, pair(_127856, _127854)), _127858)), 449 ^ _111928 : [(450 ^ _111928) ^ [] : [-(false___)], (452 ^ _111928) ^ [] : [false___]]], (454 ^ _111928) ^ [] : [-(check_cpq(triple(_127862, insert_slb(_127860, pair(_127856, _127854)), _127858))), false___, -(false___)]]], (464 ^ _111928) ^ [_128601, _128603, _128605, _128607] : [contains_cpq(triple(_128607, _128605, _128603), _128601), -(contains_slb(_128605, _128601))], (470 ^ _111928) ^ [_128783, _128785, _128787, _128789] : [contains_slb(_128787, _128783), -(contains_cpq(triple(_128789, _128787, _128785), _128783))], (476 ^ _111928) ^ [_129044, _129046] : [ok(triple(_129046, _129044, bad)), 479 ^ _111928 : [(480 ^ _111928) ^ [] : [-(false___)], (482 ^ _111928) ^ [] : [false___]]], (484 ^ _111928) ^ [_129268, _129270] : [-(ok(triple(_129270, _129268, bad))), false___, -(false___)], (494 ^ _111928) ^ [_129575, _129577, _129579] : [-(ok(triple(_129579, _129577, _129575))), -(_129575 = bad)], (500 ^ _111928) ^ [_129813, _129815, _129817, _129819] : [-(insert_cpq(triple(_129819, _129817, _129815), _129813) = triple(insert_pqp(_129819, _129813), insert_slb(_129817, pair(_129813, bottom)), _129815))], (502 ^ _111928) ^ [_129974, _129976, _129978, _129980] : [-(contains_slb(_129978, _129974)), -(remove_cpq(triple(_129980, _129978, _129976), _129974) = triple(_129980, _129978, bad))], (508 ^ _111928) ^ [_130249, _130251, _130253, _130255] : [-(remove_cpq(triple(_130255, _130253, _130251), _130249) = triple(remove_pqp(_130255, _130249), remove_slb(_130253, _130249), _130251)), contains_slb(_130253, _130249), less_than(lookup_slb(_130253, _130249), _130249)], (518 ^ _111928) ^ [_130636, _130638, _130640, _130642] : [-(remove_cpq(triple(_130642, _130640, _130638), _130636) = triple(remove_pqp(_130642, _130636), remove_slb(_130640, _130636), bad)), contains_slb(_130640, _130636), strictly_less_than(_130636, lookup_slb(_130640, _130636))], (528 ^ _111928) ^ [_130980, _130982] : [-(findmin_cpq_eff(triple(_130982, create_slb, _130980)) = triple(_130982, create_slb, bad))], (530 ^ _111928) ^ [_131127, _131129, _131131, _131133] : [-(findmin_cpq_eff(triple(_131133, _131131, _131129)) = triple(_131133, update_slb(_131131, findmin_pqp_res(_131133)), bad)), -(_131131 = create_slb), -(contains_slb(_131131, findmin_pqp_res(_131133)))], (540 ^ _111928) ^ [_131514, _131516, _131518, _131520] : [-(findmin_cpq_eff(triple(_131520, _131518, _131516)) = triple(_131520, update_slb(_131518, findmin_pqp_res(_131520)), bad)), -(_131518 = create_slb), contains_slb(_131518, findmin_pqp_res(_131520)), strictly_less_than(findmin_pqp_res(_131520), lookup_slb(_131518, findmin_pqp_res(_131520)))], (568 ^ _111928) ^ [_132461, _132463] : [-(findmin_cpq_res(triple(_132463, create_slb, _132461)) = bottom)], (576 ^ _111928) ^ [_132816] : [-(removemin_cpq_eff(_132816) = remove_cpq(findmin_cpq_eff(_132816), findmin_cpq_res(_132816)))], (578 ^ _111928) ^ [_132883] : [-(removemin_cpq_res(_132883) = findmin_cpq_res(_132883))], (570 ^ _111928) ^ [_132604, _132606, _132608, _132610] : [-(_132608 = create_slb), -(findmin_cpq_res(triple(_132610, _132608, _132606)) = findmin_pqp_res(_132610))], (554 ^ _111928) ^ [_132009, _132011, _132013, _132015] : [-(findmin_cpq_eff(triple(_132015, _132013, _132011)) = triple(_132015, update_slb(_132013, findmin_pqp_res(_132015)), _132011)), -(_132013 = create_slb), contains_slb(_132013, findmin_pqp_res(_132015)), less_than(lookup_slb(_132013, findmin_pqp_res(_132015)), findmin_pqp_res(_132015))]], input).
% 0.35/1.39  ncf('1',plain,[check_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []))],start(589 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(check_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []))), check_cpq(findmin_cpq_eff(triple(585 ^ [], 586 ^ [], 587 ^ [])))],extension(580 ^ 1,bind([[_133044, _133046, _133048], [587 ^ [], 586 ^ [], 585 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(check_cpq(findmin_cpq_eff(triple(585 ^ [], 586 ^ [], 587 ^ []))))],extension(591 ^ 2)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------