%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 12:20:34 EDT 2023

% Result   : Theorem 0.41s 1.38s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n007.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 02:27:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.41/1.38  
% 0.41/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.41/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.38  %-----------------------------------------------------
% 0.41/1.38  ncf(matrix, plain, [(584 ^ _110576) ^ [] : [-(ok(remove_cpq(triple(579 ^ [], 580 ^ [], 581 ^ []), 582 ^ [])))], (586 ^ _110576) ^ [] : [contains_slb(580 ^ [], 582 ^ [])], (2 ^ _110576) ^ [_110720] : [-(_110720 = _110720)], (4 ^ _110576) ^ [_110827, _110829] : [_110829 = _110827, -(_110827 = _110829)], (10 ^ _110576) ^ [_111031, _111033, _111035] : [-(_111035 = _111031), _111035 = _111033, _111033 = _111031], (20 ^ _110576) ^ [_111344, _111346] : [-(isnonempty_slb(_111344)), _111346 = _111344, isnonempty_slb(_111346)], (30 ^ _110576) ^ [_111695, _111697, _111699, _111701, _111703, _111705] : [-(pair_in_list(_111703, _111699, _111695)), pair_in_list(_111705, _111701, _111697), _111705 = _111703, _111701 = _111699, _111697 = _111695], (48 ^ _110576) ^ [_112276, _112278, _112280, _112282] : [-(succ_cpq(_112280, _112276)), succ_cpq(_112282, _112278), _112282 = _112280, _112278 = _112276], (62 ^ _110576) ^ [_112692, _112694] : [-(check_cpq(_112692)), _112694 = _112692, check_cpq(_112694)], (72 ^ _110576) ^ [_113015, _113017, _113019, _113021] : [-(contains_cpq(_113019, _113015)), contains_cpq(_113021, _113017), _113021 = _113019, _113017 = _113015], (86 ^ _110576) ^ [_113459, _113461, _113463, _113465] : [-(strictly_less_than(_113463, _113459)), strictly_less_than(_113465, _113461), _113465 = _113463, _113461 = _113459], (100 ^ _110576) ^ [_113903, _113905, _113907, _113909] : [-(less_than(_113907, _113903)), less_than(_113909, _113905), _113909 = _113907, _113905 = _113903], (114 ^ _110576) ^ [_114319, _114321] : [-(ok(_114319)), _114321 = _114319, ok(_114321)], (124 ^ _110576) ^ [_114622, _114624, _114626, _114628] : [-(contains_slb(_114626, _114622)), contains_slb(_114628, _114624), _114628 = _114626, _114624 = _114622], (138 ^ _110576) ^ [_115088, _115090, _115092, _115094] : [-(insert_cpq(_115094, _115090) = insert_cpq(_115092, _115088)), _115094 = _115092, _115090 = _115088], (148 ^ _110576) ^ [_115447, _115449, _115451, _115453] : [-(insert_pqp(_115453, _115449) = insert_pqp(_115451, _115447)), _115453 = _115451, _115449 = _115447], (158 ^ _110576) ^ [_115806, _115808, _115810, _115812] : [-(insert_slb(_115812, _115808) = insert_slb(_115810, _115806)), _115812 = _115810, _115808 = _115806], (168 ^ _110576) ^ [_116165, _116167, _116169, _116171] : [-(pair(_116171, _116167) = pair(_116169, _116165)), _116171 = _116169, _116167 = _116165], (178 ^ _110576) ^ [_116524, _116526, _116528, _116530] : [-(remove_pqp(_116530, _116526) = remove_pqp(_116528, _116524)), _116530 = _116528, _116526 = _116524], (188 ^ _110576) ^ [_116883, _116885, _116887, _116889] : [-(remove_slb(_116889, _116885) = remove_slb(_116887, _116883)), _116889 = _116887, _116885 = _116883], (198 ^ _110576) ^ [_117242, _117244, _117246, _117248] : [-(lookup_slb(_117248, _117244) = lookup_slb(_117246, _117242)), _117248 = _117246, _117244 = _117242], (208 ^ _110576) ^ [_117601, _117603, _117605, _117607] : [-(update_slb(_117607, _117603) = update_slb(_117605, _117601)), _117607 = _117605, _117603 = _117601], (218 ^ _110576) ^ [_117932, _117934] : [_117934 = _117932, -(findmin_pqp_res(_117934) = findmin_pqp_res(_117932))], (224 ^ _110576) ^ [_118150, _118152] : [_118152 = _118150, -(removemin_cpq_eff(_118152) = removemin_cpq_eff(_118150))], (230 ^ _110576) ^ [_118368, _118370] : [_118370 = _118368, -(findmin_cpq_eff(_118370) = findmin_cpq_eff(_118368))], (236 ^ _110576) ^ [_118586, _118588] : [_118588 = _118586, -(removemin_cpq_res(_118588) = removemin_cpq_res(_118586))], (242 ^ _110576) ^ [_118804, _118806] : [_118806 = _118804, -(findmin_cpq_res(_118806) = findmin_cpq_res(_118804))], (248 ^ _110576) ^ [_119050, _119052, _119054, _119056] : [-(remove_cpq(_119056, _119052) = remove_cpq(_119054, _119050)), _119056 = _119054, _119052 = _119050], (258 ^ _110576) ^ [_119417, _119419, _119421, _119423, _119425, _119427] : [-(triple(_119427, _119423, _119419) = triple(_119425, _119421, _119417)), _119427 = _119425, _119423 = _119421, _119419 = _119417], (272 ^ _110576) ^ [_119995, _119997, _119999] : [-(less_than(_119999, _119995)), less_than(_119999, _119997), less_than(_119997, _119995)], (282 ^ _110576) ^ [_120304, _120306] : [-(less_than(_120306, _120304)), -(less_than(_120304, _120306))], (288 ^ _110576) ^ [_120486] : [-(less_than(_120486, _120486))], (308 ^ _110576) ^ [_121115] : [-(less_than(bottom, _121115))], (290 ^ _110576) ^ [_120622, _120624] : [strictly_less_than(_120624, _120622), 293 ^ _110576 : [(294 ^ _110576) ^ [] : [-(less_than(_120624, _120622))], (296 ^ _110576) ^ [] : [less_than(_120622, _120624)]]], (298 ^ _110576) ^ [_120860, _120862] : [-(strictly_less_than(_120862, _120860)), less_than(_120862, _120860), -(less_than(_120860, _120862))], (310 ^ _110576) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _110576) ^ [_121301, _121303, _121305] : [-(isnonempty_slb(insert_slb(_121305, pair(_121303, _121301))))], (314 ^ _110576) ^ [_121387] : [contains_slb(create_slb, _121387)], (326 ^ _110576) ^ [_121835, _121837, _121839, _121841] : [327 ^ _110576 : [(328 ^ _110576) ^ [] : [contains_slb(_121841, _121837)], (330 ^ _110576) ^ [] : [_121839 = _121837]], -(contains_slb(insert_slb(_121841, pair(_121839, _121835)), _121837))], (316 ^ _110576) ^ [_121551, _121553, _121555, _121557] : [contains_slb(insert_slb(_121557, pair(_121555, _121551)), _121553), -(contains_slb(_121557, _121553)), -(_121555 = _121553)], (334 ^ _110576) ^ [_122133, _122135] : [pair_in_list(create_slb, _122135, _122133)], (336 ^ _110576) ^ [_122314, _122316, _122318, _122320, _122322] : [pair_in_list(insert_slb(_122322, pair(_122320, _122316)), _122318, _122314), -(pair_in_list(_122322, _122318, _122314)), 343 ^ _110576 : [(344 ^ _110576) ^ [] : [-(_122320 = _122318)], (346 ^ _110576) ^ [] : [-(_122316 = _122314)]]], (348 ^ _110576) ^ [_122693, _122695, _122697, _122699, _122701] : [-(pair_in_list(insert_slb(_122701, pair(_122699, _122695)), _122697, _122693)), 349 ^ _110576 : [(350 ^ _110576) ^ [] : [pair_in_list(_122701, _122697, _122693)], (352 ^ _110576) ^ [] : [_122699 = _122697, _122695 = _122693]]], (360 ^ _110576) ^ [_123119, _123121, _123123] : [-(remove_slb(insert_slb(_123123, pair(_123121, _123119)), _123121) = _123123)], (362 ^ _110576) ^ [_123267, _123269, _123271, _123273] : [-(remove_slb(insert_slb(_123273, pair(_123271, _123267)), _123269) = insert_slb(remove_slb(_123273, _123269), pair(_123271, _123267))), -(_123271 = _123269), contains_slb(_123273, _123269)], (372 ^ _110576) ^ [_123624, _123626, _123628] : [-(lookup_slb(insert_slb(_123628, pair(_123626, _123624)), _123626) = _123624)], (374 ^ _110576) ^ [_123772, _123774, _123776, _123778] : [-(lookup_slb(insert_slb(_123778, pair(_123776, _123772)), _123774) = lookup_slb(_123778, _123774)), -(_123776 = _123774), contains_slb(_123778, _123774)], (384 ^ _110576) ^ [_124089] : [-(update_slb(create_slb, _124089) = create_slb)], (386 ^ _110576) ^ [_124227, _124229, _124231, _124233] : [strictly_less_than(_124227, _124229), -(update_slb(insert_slb(_124233, pair(_124231, _124227)), _124229) = insert_slb(update_slb(_124233, _124229), pair(_124231, _124229)))], (392 ^ _110576) ^ [_124493, _124495, _124497, _124499] : [less_than(_124495, _124493), -(update_slb(insert_slb(_124499, pair(_124497, _124493)), _124495) = insert_slb(update_slb(_124499, _124495), pair(_124497, _124493)))], (398 ^ _110576) ^ [_124750] : [-(succ_cpq(_124750, _124750))], (400 ^ _110576) ^ [_124871, _124873, _124875] : [succ_cpq(_124875, _124873), -(succ_cpq(_124875, insert_cpq(_124873, _124871)))], (406 ^ _110576) ^ [_125107, _125109, _125111] : [succ_cpq(_125111, _125109), -(succ_cpq(_125111, remove_cpq(_125109, _125107)))], (412 ^ _110576) ^ [_125329, _125331] : [succ_cpq(_125331, _125329), -(succ_cpq(_125331, findmin_cpq_eff(_125329)))], (418 ^ _110576) ^ [_125543, _125545] : [succ_cpq(_125545, _125543), -(succ_cpq(_125545, removemin_cpq_eff(_125543)))], (424 ^ _110576) ^ [_125742, _125744] : [-(check_cpq(triple(_125744, create_slb, _125742)))], (426 ^ _110576) ^ [_125896, _125898, _125900, _125902, _125904] : [less_than(_125896, _125898), 429 ^ _110576 : [(430 ^ _110576) ^ [] : [check_cpq(triple(_125904, insert_slb(_125902, pair(_125898, _125896)), _125900)), -(check_cpq(triple(_125904, _125902, _125900)))], (436 ^ _110576) ^ [] : [check_cpq(triple(_125904, _125902, _125900)), -(check_cpq(triple(_125904, insert_slb(_125902, pair(_125898, _125896)), _125900)))]]], (442 ^ _110576) ^ [_126482, _126484, _126486, _126488, _126490] : [strictly_less_than(_126484, _126482), 445 ^ _110576 : [(446 ^ _110576) ^ [] : [check_cpq(triple(_126490, insert_slb(_126488, pair(_126484, _126482)), _126486)), 449 ^ _110576 : [(450 ^ _110576) ^ [] : [-(false___)], (452 ^ _110576) ^ [] : [false___]]], (454 ^ _110576) ^ [] : [-(check_cpq(triple(_126490, insert_slb(_126488, pair(_126484, _126482)), _126486))), false___, -(false___)]]], (464 ^ _110576) ^ [_127229, _127231, _127233, _127235] : [contains_cpq(triple(_127235, _127233, _127231), _127229), -(contains_slb(_127233, _127229))], (470 ^ _110576) ^ [_127411, _127413, _127415, _127417] : [contains_slb(_127415, _127411), -(contains_cpq(triple(_127417, _127415, _127413), _127411))], (476 ^ _110576) ^ [_127672, _127674] : [ok(triple(_127674, _127672, bad)), 479 ^ _110576 : [(480 ^ _110576) ^ [] : [-(false___)], (482 ^ _110576) ^ [] : [false___]]], (484 ^ _110576) ^ [_127896, _127898] : [-(ok(triple(_127898, _127896, bad))), false___, -(false___)], (494 ^ _110576) ^ [_128203, _128205, _128207] : [-(ok(triple(_128207, _128205, _128203))), -(_128203 = bad)], (500 ^ _110576) ^ [_128441, _128443, _128445, _128447] : [-(insert_cpq(triple(_128447, _128445, _128443), _128441) = triple(insert_pqp(_128447, _128441), insert_slb(_128445, pair(_128441, bottom)), _128443))], (502 ^ _110576) ^ [_128602, _128604, _128606, _128608] : [-(contains_slb(_128606, _128602)), -(remove_cpq(triple(_128608, _128606, _128604), _128602) = triple(_128608, _128606, bad))], (508 ^ _110576) ^ [_128877, _128879, _128881, _128883] : [-(remove_cpq(triple(_128883, _128881, _128879), _128877) = triple(remove_pqp(_128883, _128877), remove_slb(_128881, _128877), _128879)), contains_slb(_128881, _128877), less_than(lookup_slb(_128881, _128877), _128877)], (518 ^ _110576) ^ [_129264, _129266, _129268, _129270] : [-(remove_cpq(triple(_129270, _129268, _129266), _129264) = triple(remove_pqp(_129270, _129264), remove_slb(_129268, _129264), bad)), contains_slb(_129268, _129264), strictly_less_than(_129264, lookup_slb(_129268, _129264))], (528 ^ _110576) ^ [_129608, _129610] : [-(findmin_cpq_eff(triple(_129610, create_slb, _129608)) = triple(_129610, create_slb, bad))], (530 ^ _110576) ^ [_129755, _129757, _129759, _129761] : [-(findmin_cpq_eff(triple(_129761, _129759, _129757)) = triple(_129761, update_slb(_129759, findmin_pqp_res(_129761)), bad)), -(_129759 = create_slb), -(contains_slb(_129759, findmin_pqp_res(_129761)))], (540 ^ _110576) ^ [_130142, _130144, _130146, _130148] : [-(findmin_cpq_eff(triple(_130148, _130146, _130144)) = triple(_130148, update_slb(_130146, findmin_pqp_res(_130148)), bad)), -(_130146 = create_slb), contains_slb(_130146, findmin_pqp_res(_130148)), strictly_less_than(findmin_pqp_res(_130148), lookup_slb(_130146, findmin_pqp_res(_130148)))], (568 ^ _110576) ^ [_131089, _131091] : [-(findmin_cpq_res(triple(_131091, create_slb, _131089)) = bottom)], (576 ^ _110576) ^ [_131444] : [-(removemin_cpq_eff(_131444) = remove_cpq(findmin_cpq_eff(_131444), findmin_cpq_res(_131444)))], (578 ^ _110576) ^ [_131511] : [-(removemin_cpq_res(_131511) = findmin_cpq_res(_131511))], (570 ^ _110576) ^ [_131232, _131234, _131236, _131238] : [-(_131236 = create_slb), -(findmin_cpq_res(triple(_131238, _131236, _131234)) = findmin_pqp_res(_131238))], (554 ^ _110576) ^ [_130637, _130639, _130641, _130643] : [-(findmin_cpq_eff(triple(_130643, _130641, _130639)) = triple(_130643, update_slb(_130641, findmin_pqp_res(_130643)), _130639)), -(_130641 = create_slb), contains_slb(_130641, findmin_pqp_res(_130643)), less_than(lookup_slb(_130641, findmin_pqp_res(_130643)), findmin_pqp_res(_130643))]], input).
% 0.41/1.38  ncf('1',plain,[contains_slb(580 ^ [], 582 ^ [])],start(586 ^ 0)).
% 0.41/1.38  ncf('1.1',plain,[-(contains_slb(580 ^ [], 582 ^ [])), -(remove_cpq(triple(579 ^ [], 580 ^ [], 581 ^ []), 582 ^ []) = triple(579 ^ [], 580 ^ [], bad))],extension(502 ^ 1,bind([[_128602, _128604, _128606, _128608], [582 ^ [], 581 ^ [], 580 ^ [], 579 ^ []]]))).
% 0.41/1.38  ncf('1.1.1',plain,[remove_cpq(triple(579 ^ [], 580 ^ [], 581 ^ []), 582 ^ []) = triple(579 ^ [], 580 ^ [], bad), -(ok(triple(579 ^ [], 580 ^ [], bad))), ok(remove_cpq(triple(579 ^ [], 580 ^ [], 581 ^ []), 582 ^ []))],extension(114 ^ 2,bind([[_114319, _114321], [triple(579 ^ [], 580 ^ [], bad), remove_cpq(triple(579 ^ [], 580 ^ [], 581 ^ []), 582 ^ [])]]))).
% 0.41/1.38  ncf('1.1.1.1',plain,[ok(triple(579 ^ [], 580 ^ [], bad)), 480 : -(false___)],extension(476 ^ 3,bind([[_127672, _127674], [580 ^ [], 579 ^ []]]))).
% 0.41/1.38  ncf('1.1.1.1.1',plain,[false___],extension(482 ^ 6)).
% 0.41/1.38  ncf('1.1.1.2',plain,[-(ok(remove_cpq(triple(579 ^ [], 580 ^ [], 581 ^ []), 582 ^ [])))],extension(584 ^ 3)).
% 0.41/1.38  %-----------------------------------------------------
% 0.41/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------