%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV390+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 256.35s 247.72s
% Output   : Proof 256.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SWV390+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n004.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 02:13:39 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 256.35/247.72  
% 256.35/247.72  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 256.35/247.72  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 256.35/247.72  %-----------------------------------------------------
% 256.35/247.72  ncf(matrix, plain, [(128 ^ _117970) ^ [_122137, _122139] : [-(check_cpq(_122137)), _122139 = _122137, check_cpq(_122139)], (288 ^ _117970) ^ [_127880] : [-(less_than(_127880, _127880))], (214 ^ _117970) ^ [_125185, _125187] : [_125187 = _125185, -(removemin_cpq_eff(_125187) = removemin_cpq_eff(_125185))], (272 ^ _117970) ^ [_127389, _127391, _127393] : [-(less_than(_127393, _127389)), less_than(_127393, _127391), less_than(_127391, _127389)], (4 ^ _117970) ^ [_118221, _118223] : [_118223 = _118221, -(_118221 = _118223)], (96 ^ _117970) ^ [_121160, _121162, _121164, _121166, _121168, _121170] : [-(pair_in_list(_121168, _121164, _121160)), pair_in_list(_121170, _121166, _121162), _121170 = _121168, _121166 = _121164, _121162 = _121160], (68 ^ _117970) ^ [_120244, _120246, _120248, _120250] : [-(strictly_less_than(_120248, _120244)), strictly_less_than(_120250, _120246), _120250 = _120248, _120246 = _120244], (508 ^ _117970) ^ [_136291, _136293, _136295, _136297] : [-(remove_cpq(triple(_136297, _136295, _136293), _136291) = triple(remove_pqp(_136297, _136291), remove_slb(_136295, _136291), _136293)), contains_slb(_136295, _136291), less_than(lookup_slb(_136295, _136291), _136291)], (424 ^ _117970) ^ [_133156, _133158] : [-(check_cpq(triple(_133158, create_slb, _133156)))], (230 ^ _117970) ^ [_125762, _125764] : [_125764 = _125762, -(findmin_cpq_eff(_125764) = findmin_cpq_eff(_125762))], (606 ^ _117970) ^ [] : [-(check_cpq(insert_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []), 604 ^ [])))], (398 ^ _117970) ^ [_132164] : [-(succ_cpq(_132164, _132164))], (603 ^ _117970) ^ [] : [check_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []))], (518 ^ _117970) ^ [_136678, _136680, _136682, _136684] : [-(remove_cpq(triple(_136684, _136682, _136680), _136678) = triple(remove_pqp(_136684, _136678), remove_slb(_136682, _136678), bad)), contains_slb(_136682, _136678), strictly_less_than(_136678, lookup_slb(_136682, _136678))], (576 ^ _117970) ^ [_138858] : [-(removemin_cpq_eff(_138858) = remove_cpq(findmin_cpq_eff(_138858), findmin_cpq_res(_138858)))], (578 ^ _117970) ^ [_138925] : [-(removemin_cpq_res(_138925) = findmin_cpq_res(_138925))], (310 ^ _117970) ^ [] : [isnonempty_slb(create_slb)], (590 ^ _117970) ^ [_139475, _139477, _139479] : [593 ^ _117970 : [(594 ^ _117970) ^ [] : [-(pair_in_list(_139477, 591 ^ [_139475, _139477, _139479], 592 ^ [_139475, _139477, _139479]))], (596 ^ _117970) ^ [] : [less_than(592 ^ [_139475, _139477, _139479], 591 ^ [_139475, _139477, _139479])]], -(check_cpq(triple(_139479, _139477, _139475)))], (290 ^ _117970) ^ [_128016, _128018] : [strictly_less_than(_128018, _128016), 293 ^ _117970 : [(294 ^ _117970) ^ [] : [-(less_than(_128018, _128016))], (296 ^ _117970) ^ [] : [less_than(_128016, _128018)]]], (336 ^ _117970) ^ [_129708, _129710, _129712, _129714, _129716] : [pair_in_list(insert_slb(_129716, pair(_129714, _129710)), _129712, _129708), -(pair_in_list(_129716, _129712, _129708)), 343 ^ _117970 : [(344 ^ _117970) ^ [] : [-(_129714 = _129712)], (346 ^ _117970) ^ [] : [-(_129710 = _129708)]]], (312 ^ _117970) ^ [_128695, _128697, _128699] : [-(isnonempty_slb(insert_slb(_128699, pair(_128697, _128695))))], (500 ^ _117970) ^ [_135855, _135857, _135859, _135861] : [-(insert_cpq(triple(_135861, _135859, _135857), _135855) = triple(insert_pqp(_135861, _135855), insert_slb(_135859, pair(_135855, bottom)), _135857))], (360 ^ _117970) ^ [_130513, _130515, _130517] : [-(remove_slb(insert_slb(_130517, pair(_130515, _130513)), _130515) = _130517)], (308 ^ _117970) ^ [_128509] : [-(less_than(bottom, _128509))], (464 ^ _117970) ^ [_134643, _134645, _134647, _134649] : [contains_cpq(triple(_134649, _134647, _134645), _134643), -(contains_slb(_134647, _134643))], (158 ^ _117970) ^ [_123200, _123202, _123204, _123206] : [-(pair(_123206, _123202) = pair(_123204, _123200)), _123206 = _123204, _123202 = _123200], (384 ^ _117970) ^ [_131483] : [-(update_slb(create_slb, _131483) = create_slb)], (334 ^ _117970) ^ [_129527, _129529] : [pair_in_list(create_slb, _129529, _129527)], (374 ^ _117970) ^ [_131166, _131168, _131170, _131172] : [-(lookup_slb(insert_slb(_131172, pair(_131170, _131166)), _131168) = lookup_slb(_131172, _131168)), -(_131170 = _131168), contains_slb(_131172, _131168)], (114 ^ _117970) ^ [_121741, _121743, _121745, _121747] : [-(less_than(_121745, _121741)), less_than(_121747, _121743), _121747 = _121745, _121743 = _121741], (220 ^ _117970) ^ [_125431, _125433, _125435, _125437] : [-(remove_cpq(_125437, _125433) = remove_cpq(_125435, _125431)), _125437 = _125435, _125433 = _125431], (470 ^ _117970) ^ [_134825, _134827, _134829, _134831] : [contains_slb(_134829, _134825), -(contains_cpq(triple(_134831, _134829, _134827), _134825))], (442 ^ _117970) ^ [_133896, _133898, _133900, _133902, _133904] : [strictly_less_than(_133898, _133896), 445 ^ _117970 : [(446 ^ _117970) ^ [] : [check_cpq(triple(_133904, insert_slb(_133902, pair(_133898, _133896)), _133900)), 449 ^ _117970 : [(450 ^ _117970) ^ [] : [-(false___)], (452 ^ _117970) ^ [] : [false___]]], (454 ^ _117970) ^ [] : [-(check_cpq(triple(_133904, insert_slb(_133902, pair(_133898, _133896)), _133900))), false___, -(false___)]]], (426 ^ _117970) ^ [_133310, _133312, _133314, _133316, _133318] : [less_than(_133310, _133312), 429 ^ _117970 : [(430 ^ _117970) ^ [] : [check_cpq(triple(_133318, insert_slb(_133316, pair(_133312, _133310)), _133314)), -(check_cpq(triple(_133318, _133316, _133314)))], (436 ^ _117970) ^ [] : [check_cpq(triple(_133318, _133316, _133314)), -(check_cpq(triple(_133318, insert_slb(_133316, pair(_133312, _133310)), _133314)))]]], (2 ^ _117970) ^ [_118114] : [-(_118114 = _118114)], (168 ^ _117970) ^ [_123559, _123561, _123563, _123565] : [-(remove_pqp(_123565, _123561) = remove_pqp(_123563, _123559)), _123565 = _123563, _123561 = _123559], (348 ^ _117970) ^ [_130087, _130089, _130091, _130093, _130095] : [-(pair_in_list(insert_slb(_130095, pair(_130093, _130089)), _130091, _130087)), 349 ^ _117970 : [(350 ^ _117970) ^ [] : [pair_in_list(_130095, _130091, _130087)], (352 ^ _117970) ^ [] : [_130093 = _130091, _130089 = _130087]]], (484 ^ _117970) ^ [_135310, _135312] : [-(ok(triple(_135312, _135310, bad))), false___, -(false___)], (554 ^ _117970) ^ [_138051, _138053, _138055, _138057] : [-(findmin_cpq_eff(triple(_138057, _138055, _138053)) = triple(_138057, update_slb(_138055, findmin_pqp_res(_138057)), _138053)), -(_138055 = create_slb), contains_slb(_138055, findmin_pqp_res(_138057)), less_than(lookup_slb(_138055, findmin_pqp_res(_138057)), findmin_pqp_res(_138057))], (530 ^ _117970) ^ [_137169, _137171, _137173, _137175] : [-(findmin_cpq_eff(triple(_137175, _137173, _137171)) = triple(_137175, update_slb(_137173, findmin_pqp_res(_137175)), bad)), -(_137173 = create_slb), -(contains_slb(_137173, findmin_pqp_res(_137175)))], (570 ^ _117970) ^ [_138646, _138648, _138650, _138652] : [-(_138650 = create_slb), -(findmin_cpq_res(triple(_138652, _138650, _138648)) = findmin_pqp_res(_138652))], (580 ^ _117970) ^ [_139115, _139117, _139119] : [check_cpq(triple(_139119, _139117, _139115)), 583 ^ _117970 : [(584 ^ _117970) ^ [_139282, _139284] : [pair_in_list(_139117, _139284, _139282), -(less_than(_139282, _139284))]]], (298 ^ _117970) ^ [_128254, _128256] : [-(strictly_less_than(_128256, _128254)), less_than(_128256, _128254), -(less_than(_128254, _128256))], (242 ^ _117970) ^ [_126198, _126200] : [_126200 = _126198, -(findmin_cpq_res(_126200) = findmin_cpq_res(_126198))], (406 ^ _117970) ^ [_132521, _132523, _132525] : [succ_cpq(_132525, _132523), -(succ_cpq(_132525, remove_cpq(_132523, _132521)))], (316 ^ _117970) ^ [_128945, _128947, _128949, _128951] : [contains_slb(insert_slb(_128951, pair(_128949, _128945)), _128947), -(contains_slb(_128951, _128947)), -(_128949 = _128947)], (198 ^ _117970) ^ [_124636, _124638, _124640, _124642] : [-(update_slb(_124642, _124638) = update_slb(_124640, _124636)), _124642 = _124640, _124638 = _124636], (236 ^ _117970) ^ [_125980, _125982] : [_125982 = _125980, -(removemin_cpq_res(_125982) = removemin_cpq_res(_125980))], (44 ^ _117970) ^ [_119505, _119507, _119509, _119511] : [-(contains_cpq(_119509, _119505)), contains_cpq(_119511, _119507), _119511 = _119509, _119507 = _119505], (372 ^ _117970) ^ [_131018, _131020, _131022] : [-(lookup_slb(insert_slb(_131022, pair(_131020, _131018)), _131020) = _131018)], (528 ^ _117970) ^ [_137022, _137024] : [-(findmin_cpq_eff(triple(_137024, create_slb, _137022)) = triple(_137024, create_slb, bad))], (502 ^ _117970) ^ [_136016, _136018, _136020, _136022] : [-(contains_slb(_136020, _136016)), -(remove_cpq(triple(_136022, _136020, _136018), _136016) = triple(_136022, _136020, bad))], (362 ^ _117970) ^ [_130661, _130663, _130665, _130667] : [-(remove_slb(insert_slb(_130667, pair(_130665, _130661)), _130663) = insert_slb(remove_slb(_130667, _130663), pair(_130665, _130661))), -(_130665 = _130663), contains_slb(_130667, _130663)], (248 ^ _117970) ^ [_126444, _126446, _126448, _126450] : [-(insert_cpq(_126450, _126446) = insert_cpq(_126448, _126444)), _126450 = _126448, _126446 = _126444], (540 ^ _117970) ^ [_137556, _137558, _137560, _137562] : [-(findmin_cpq_eff(triple(_137562, _137560, _137558)) = triple(_137562, update_slb(_137560, findmin_pqp_res(_137562)), bad)), -(_137560 = create_slb), contains_slb(_137560, findmin_pqp_res(_137562)), strictly_less_than(findmin_pqp_res(_137562), lookup_slb(_137560, findmin_pqp_res(_137562)))], (476 ^ _117970) ^ [_135086, _135088] : [ok(triple(_135088, _135086, bad)), 479 ^ _117970 : [(480 ^ _117970) ^ [] : [-(false___)], (482 ^ _117970) ^ [] : [false___]]], (30 ^ _117970) ^ [_119061, _119063, _119065, _119067] : [-(succ_cpq(_119065, _119061)), succ_cpq(_119067, _119063), _119067 = _119065, _119063 = _119061], (326 ^ _117970) ^ [_129229, _129231, _129233, _129235] : [327 ^ _117970 : [(328 ^ _117970) ^ [] : [contains_slb(_129235, _129231)], (330 ^ _117970) ^ [] : [_129233 = _129231]], -(contains_slb(insert_slb(_129235, pair(_129233, _129229)), _129231))], (188 ^ _117970) ^ [_124277, _124279, _124281, _124283] : [-(lookup_slb(_124283, _124279) = lookup_slb(_124281, _124277)), _124283 = _124281, _124279 = _124277], (412 ^ _117970) ^ [_132743, _132745] : [succ_cpq(_132745, _132743), -(succ_cpq(_132745, findmin_cpq_eff(_132743)))], (314 ^ _117970) ^ [_128781] : [contains_slb(create_slb, _128781)], (392 ^ _117970) ^ [_131887, _131889, _131891, _131893] : [less_than(_131889, _131887), -(update_slb(insert_slb(_131893, pair(_131891, _131887)), _131889) = insert_slb(update_slb(_131893, _131889), pair(_131891, _131887)))], (82 ^ _117970) ^ [_120688, _120690, _120692, _120694] : [-(contains_slb(_120692, _120688)), contains_slb(_120694, _120690), _120694 = _120692, _120690 = _120688], (10 ^ _117970) ^ [_118425, _118427, _118429] : [-(_118429 = _118425), _118429 = _118427, _118427 = _118425], (258 ^ _117970) ^ [_126811, _126813, _126815, _126817, _126819, _126821] : [-(triple(_126821, _126817, _126813) = triple(_126819, _126815, _126811)), _126821 = _126819, _126817 = _126815, _126813 = _126811], (282 ^ _117970) ^ [_127698, _127700] : [-(less_than(_127700, _127698)), -(less_than(_127698, _127700))], (568 ^ _117970) ^ [_138503, _138505] : [-(findmin_cpq_res(triple(_138505, create_slb, _138503)) = bottom)], (178 ^ _117970) ^ [_123918, _123920, _123922, _123924] : [-(remove_slb(_123924, _123920) = remove_slb(_123922, _123918)), _123924 = _123922, _123920 = _123918], (58 ^ _117970) ^ [_119921, _119923] : [-(ok(_119921)), _119923 = _119921, ok(_119923)], (386 ^ _117970) ^ [_131621, _131623, _131625, _131627] : [strictly_less_than(_131621, _131623), -(update_slb(insert_slb(_131627, pair(_131625, _131621)), _131623) = insert_slb(update_slb(_131627, _131623), pair(_131625, _131623)))], (494 ^ _117970) ^ [_135617, _135619, _135621] : [-(ok(triple(_135621, _135619, _135617))), -(_135617 = bad)], (208 ^ _117970) ^ [_124967, _124969] : [_124969 = _124967, -(findmin_pqp_res(_124969) = findmin_pqp_res(_124967))], (418 ^ _117970) ^ [_132957, _132959] : [succ_cpq(_132959, _132957), -(succ_cpq(_132959, removemin_cpq_eff(_132957)))], (400 ^ _117970) ^ [_132285, _132287, _132289] : [succ_cpq(_132289, _132287), -(succ_cpq(_132289, insert_cpq(_132287, _132285)))], (138 ^ _117970) ^ [_122482, _122484, _122486, _122488] : [-(insert_pqp(_122488, _122484) = insert_pqp(_122486, _122482)), _122488 = _122486, _122484 = _122482], (148 ^ _117970) ^ [_122841, _122843, _122845, _122847] : [-(insert_slb(_122847, _122843) = insert_slb(_122845, _122841)), _122847 = _122845, _122843 = _122841], (20 ^ _117970) ^ [_118738, _118740] : [-(isnonempty_slb(_118738)), _118740 = _118738, isnonempty_slb(_118740)]], input).
% 256.35/247.72  ncf('1',plain,[check_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []))],start(603 ^ 0)).
% 256.35/247.72  ncf('1.1',plain,[-(check_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []))), 594 : -(pair_in_list(600 ^ [], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 592 ^ [601 ^ [], 600 ^ [], 599 ^ []]))],extension(590 ^ 1,bind([[_139475, _139477, _139479], [601 ^ [], 600 ^ [], 599 ^ []]]))).
% 256.35/247.72  ncf('1.1.1',plain,[pair_in_list(600 ^ [], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 592 ^ [601 ^ [], 600 ^ [], 599 ^ []]), -(pair_in_list(insert_slb(600 ^ [], pair(604 ^ [], bottom)), 591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 592 ^ [601 ^ [], 600 ^ [], 599 ^ []]))],extension(348 ^ 4,bind([[_130087, _130089, _130091, _130093, _130095], [592 ^ [601 ^ [], 600 ^ [], 599 ^ []], bottom, 591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 604 ^ [], 600 ^ []]]))).
% 256.35/247.72  ncf('1.1.1.1',plain,[pair_in_list(insert_slb(600 ^ [], pair(604 ^ [], bottom)), 591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 592 ^ [601 ^ [], 600 ^ [], 599 ^ []]), 584 : -(less_than(592 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []])), 584 : check_cpq(triple(insert_pqp(599 ^ [], 604 ^ []), insert_slb(600 ^ [], pair(604 ^ [], bottom)), 601 ^ []))],extension(580 ^ 5,bind([[_139115, _139117, _139119, _139282, _139284], [601 ^ [], insert_slb(600 ^ [], pair(604 ^ [], bottom)), insert_pqp(599 ^ [], 604 ^ []), 592 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []]]]))).
% 256.35/247.72  ncf('1.1.1.1.1',plain,[less_than(592 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []]), -(less_than(592 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []])), less_than(591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []])],extension(272 ^ 8,bind([[_127389, _127391, _127393], [591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 592 ^ [601 ^ [], 600 ^ [], 599 ^ []]]]))).
% 256.35/247.72  ncf('1.1.1.1.1.1',plain,[less_than(592 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []])],extension(596 ^ 9)).
% 256.35/247.72  ncf('1.1.1.1.1.2',plain,[-(less_than(591 ^ [601 ^ [], 600 ^ [], 599 ^ []], 591 ^ [601 ^ [], 600 ^ [], 599 ^ []]))],extension(288 ^ 9,bind([[_127880], [591 ^ [601 ^ [], 600 ^ [], 599 ^ []]]]))).
% 256.35/247.72  ncf('1.1.1.1.2',plain,[-(check_cpq(triple(insert_pqp(599 ^ [], 604 ^ []), insert_slb(600 ^ [], pair(604 ^ [], bottom)), 601 ^ []))), insert_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []), 604 ^ []) = triple(insert_pqp(599 ^ [], 604 ^ []), insert_slb(600 ^ [], pair(604 ^ [], bottom)), 601 ^ []), check_cpq(insert_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []), 604 ^ []))],extension(128 ^ 6,bind([[_122137, _122139], [triple(insert_pqp(599 ^ [], 604 ^ []), insert_slb(600 ^ [], pair(604 ^ [], bottom)), 601 ^ []), insert_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []), 604 ^ [])]]))).
% 256.35/247.72  ncf('1.1.1.1.2.1',plain,[-(insert_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []), 604 ^ []) = triple(insert_pqp(599 ^ [], 604 ^ []), insert_slb(600 ^ [], pair(604 ^ [], bottom)), 601 ^ []))],extension(500 ^ 7,bind([[_135855, _135857, _135859, _135861], [604 ^ [], 601 ^ [], 600 ^ [], 599 ^ []]]))).
% 256.35/247.72  ncf('1.1.1.1.2.2',plain,[-(check_cpq(insert_cpq(triple(599 ^ [], 600 ^ [], 601 ^ []), 604 ^ [])))],extension(606 ^ 7)).
% 256.35/247.72  %-----------------------------------------------------
% 256.35/247.72  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------