%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV405+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 0.34s 1.40s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV405+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 03:02:21 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.34/1.40  
% 0.34/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.40  %-----------------------------------------------------
% 0.34/1.40  ncf(matrix, plain, [(582 ^ _110269) ^ [] : [583 ^ _110269 : [(584 ^ _110269) ^ [] : [-(check_cpq(triple(579 ^ [], create_slb, 580 ^ [])))], (588 ^ _110269) ^ [] : [-(pair_in_list(create_slb, 585 ^ [], 586 ^ []))], (590 ^ _110269) ^ [] : [less_than(586 ^ [], 585 ^ [])]], 591 ^ _110269 : [(598 ^ _110269) ^ [] : [check_cpq(triple(579 ^ [], create_slb, 580 ^ []))], (592 ^ _110269) ^ [_131911, _131913] : [pair_in_list(create_slb, _131913, _131911), -(less_than(_131911, _131913))]]], (2 ^ _110269) ^ [_110413] : [-(_110413 = _110413)], (4 ^ _110269) ^ [_110520, _110522] : [_110522 = _110520, -(_110520 = _110522)], (10 ^ _110269) ^ [_110724, _110726, _110728] : [-(_110728 = _110724), _110728 = _110726, _110726 = _110724], (20 ^ _110269) ^ [_111037, _111039] : [-(isnonempty_slb(_111037)), _111039 = _111037, isnonempty_slb(_111039)], (30 ^ _110269) ^ [_111360, _111362, _111364, _111366] : [-(succ_cpq(_111364, _111360)), succ_cpq(_111366, _111362), _111366 = _111364, _111362 = _111360], (44 ^ _110269) ^ [_111804, _111806, _111808, _111810] : [-(contains_cpq(_111808, _111804)), contains_cpq(_111810, _111806), _111810 = _111808, _111806 = _111804], (58 ^ _110269) ^ [_112220, _112222] : [-(ok(_112220)), _112222 = _112220, ok(_112222)], (68 ^ _110269) ^ [_112543, _112545, _112547, _112549] : [-(strictly_less_than(_112547, _112543)), strictly_less_than(_112549, _112545), _112549 = _112547, _112545 = _112543], (82 ^ _110269) ^ [_112987, _112989, _112991, _112993] : [-(contains_slb(_112991, _112987)), contains_slb(_112993, _112989), _112993 = _112991, _112989 = _112987], (96 ^ _110269) ^ [_113403, _113405] : [-(check_cpq(_113403)), _113405 = _113403, check_cpq(_113405)], (124 ^ _110269) ^ [_114315, _114317, _114319, _114321] : [-(less_than(_114319, _114315)), less_than(_114321, _114317), _114321 = _114319, _114317 = _114315], (106 ^ _110269) ^ [_113754, _113756, _113758, _113760, _113762, _113764] : [-(pair_in_list(_113762, _113758, _113754)), pair_in_list(_113764, _113760, _113756), _113764 = _113762, _113760 = _113758, _113756 = _113754], (138 ^ _110269) ^ [_114781, _114783, _114785, _114787] : [-(insert_cpq(_114787, _114783) = insert_cpq(_114785, _114781)), _114787 = _114785, _114783 = _114781], (148 ^ _110269) ^ [_115140, _115142, _115144, _115146] : [-(insert_pqp(_115146, _115142) = insert_pqp(_115144, _115140)), _115146 = _115144, _115142 = _115140], (158 ^ _110269) ^ [_115499, _115501, _115503, _115505] : [-(insert_slb(_115505, _115501) = insert_slb(_115503, _115499)), _115505 = _115503, _115501 = _115499], (168 ^ _110269) ^ [_115858, _115860, _115862, _115864] : [-(pair(_115864, _115860) = pair(_115862, _115858)), _115864 = _115862, _115860 = _115858], (178 ^ _110269) ^ [_116217, _116219, _116221, _116223] : [-(remove_pqp(_116223, _116219) = remove_pqp(_116221, _116217)), _116223 = _116221, _116219 = _116217], (188 ^ _110269) ^ [_116576, _116578, _116580, _116582] : [-(remove_slb(_116582, _116578) = remove_slb(_116580, _116576)), _116582 = _116580, _116578 = _116576], (198 ^ _110269) ^ [_116935, _116937, _116939, _116941] : [-(lookup_slb(_116941, _116937) = lookup_slb(_116939, _116935)), _116941 = _116939, _116937 = _116935], (208 ^ _110269) ^ [_117294, _117296, _117298, _117300] : [-(update_slb(_117300, _117296) = update_slb(_117298, _117294)), _117300 = _117298, _117296 = _117294], (218 ^ _110269) ^ [_117625, _117627] : [_117627 = _117625, -(findmin_pqp_res(_117627) = findmin_pqp_res(_117625))], (224 ^ _110269) ^ [_117843, _117845] : [_117845 = _117843, -(removemin_cpq_eff(_117845) = removemin_cpq_eff(_117843))], (230 ^ _110269) ^ [_118089, _118091, _118093, _118095] : [-(remove_cpq(_118095, _118091) = remove_cpq(_118093, _118089)), _118095 = _118093, _118091 = _118089], (240 ^ _110269) ^ [_118420, _118422] : [_118422 = _118420, -(findmin_cpq_eff(_118422) = findmin_cpq_eff(_118420))], (246 ^ _110269) ^ [_118638, _118640] : [_118640 = _118638, -(removemin_cpq_res(_118640) = removemin_cpq_res(_118638))], (252 ^ _110269) ^ [_118856, _118858] : [_118858 = _118856, -(findmin_cpq_res(_118858) = findmin_cpq_res(_118856))], (258 ^ _110269) ^ [_119110, _119112, _119114, _119116, _119118, _119120] : [-(triple(_119120, _119116, _119112) = triple(_119118, _119114, _119110)), _119120 = _119118, _119116 = _119114, _119112 = _119110], (272 ^ _110269) ^ [_119688, _119690, _119692] : [-(less_than(_119692, _119688)), less_than(_119692, _119690), less_than(_119690, _119688)], (282 ^ _110269) ^ [_119997, _119999] : [-(less_than(_119999, _119997)), -(less_than(_119997, _119999))], (288 ^ _110269) ^ [_120179] : [-(less_than(_120179, _120179))], (308 ^ _110269) ^ [_120808] : [-(less_than(bottom, _120808))], (290 ^ _110269) ^ [_120315, _120317] : [strictly_less_than(_120317, _120315), 293 ^ _110269 : [(294 ^ _110269) ^ [] : [-(less_than(_120317, _120315))], (296 ^ _110269) ^ [] : [less_than(_120315, _120317)]]], (298 ^ _110269) ^ [_120553, _120555] : [-(strictly_less_than(_120555, _120553)), less_than(_120555, _120553), -(less_than(_120553, _120555))], (310 ^ _110269) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _110269) ^ [_120994, _120996, _120998] : [-(isnonempty_slb(insert_slb(_120998, pair(_120996, _120994))))], (314 ^ _110269) ^ [_121080] : [contains_slb(create_slb, _121080)], (326 ^ _110269) ^ [_121528, _121530, _121532, _121534] : [327 ^ _110269 : [(328 ^ _110269) ^ [] : [contains_slb(_121534, _121530)], (330 ^ _110269) ^ [] : [_121532 = _121530]], -(contains_slb(insert_slb(_121534, pair(_121532, _121528)), _121530))], (316 ^ _110269) ^ [_121244, _121246, _121248, _121250] : [contains_slb(insert_slb(_121250, pair(_121248, _121244)), _121246), -(contains_slb(_121250, _121246)), -(_121248 = _121246)], (334 ^ _110269) ^ [_121826, _121828] : [pair_in_list(create_slb, _121828, _121826)], (336 ^ _110269) ^ [_122007, _122009, _122011, _122013, _122015] : [pair_in_list(insert_slb(_122015, pair(_122013, _122009)), _122011, _122007), -(pair_in_list(_122015, _122011, _122007)), 343 ^ _110269 : [(344 ^ _110269) ^ [] : [-(_122013 = _122011)], (346 ^ _110269) ^ [] : [-(_122009 = _122007)]]], (348 ^ _110269) ^ [_122386, _122388, _122390, _122392, _122394] : [-(pair_in_list(insert_slb(_122394, pair(_122392, _122388)), _122390, _122386)), 349 ^ _110269 : [(350 ^ _110269) ^ [] : [pair_in_list(_122394, _122390, _122386)], (352 ^ _110269) ^ [] : [_122392 = _122390, _122388 = _122386]]], (360 ^ _110269) ^ [_122812, _122814, _122816] : [-(remove_slb(insert_slb(_122816, pair(_122814, _122812)), _122814) = _122816)], (362 ^ _110269) ^ [_122960, _122962, _122964, _122966] : [-(remove_slb(insert_slb(_122966, pair(_122964, _122960)), _122962) = insert_slb(remove_slb(_122966, _122962), pair(_122964, _122960))), -(_122964 = _122962), contains_slb(_122966, _122962)], (372 ^ _110269) ^ [_123317, _123319, _123321] : [-(lookup_slb(insert_slb(_123321, pair(_123319, _123317)), _123319) = _123317)], (374 ^ _110269) ^ [_123465, _123467, _123469, _123471] : [-(lookup_slb(insert_slb(_123471, pair(_123469, _123465)), _123467) = lookup_slb(_123471, _123467)), -(_123469 = _123467), contains_slb(_123471, _123467)], (384 ^ _110269) ^ [_123782] : [-(update_slb(create_slb, _123782) = create_slb)], (386 ^ _110269) ^ [_123920, _123922, _123924, _123926] : [strictly_less_than(_123920, _123922), -(update_slb(insert_slb(_123926, pair(_123924, _123920)), _123922) = insert_slb(update_slb(_123926, _123922), pair(_123924, _123922)))], (392 ^ _110269) ^ [_124186, _124188, _124190, _124192] : [less_than(_124188, _124186), -(update_slb(insert_slb(_124192, pair(_124190, _124186)), _124188) = insert_slb(update_slb(_124192, _124188), pair(_124190, _124186)))], (398 ^ _110269) ^ [_124443] : [-(succ_cpq(_124443, _124443))], (400 ^ _110269) ^ [_124564, _124566, _124568] : [succ_cpq(_124568, _124566), -(succ_cpq(_124568, insert_cpq(_124566, _124564)))], (406 ^ _110269) ^ [_124800, _124802, _124804] : [succ_cpq(_124804, _124802), -(succ_cpq(_124804, remove_cpq(_124802, _124800)))], (412 ^ _110269) ^ [_125022, _125024] : [succ_cpq(_125024, _125022), -(succ_cpq(_125024, findmin_cpq_eff(_125022)))], (418 ^ _110269) ^ [_125236, _125238] : [succ_cpq(_125238, _125236), -(succ_cpq(_125238, removemin_cpq_eff(_125236)))], (424 ^ _110269) ^ [_125435, _125437] : [-(check_cpq(triple(_125437, create_slb, _125435)))], (426 ^ _110269) ^ [_125589, _125591, _125593, _125595, _125597] : [less_than(_125589, _125591), 429 ^ _110269 : [(430 ^ _110269) ^ [] : [check_cpq(triple(_125597, insert_slb(_125595, pair(_125591, _125589)), _125593)), -(check_cpq(triple(_125597, _125595, _125593)))], (436 ^ _110269) ^ [] : [check_cpq(triple(_125597, _125595, _125593)), -(check_cpq(triple(_125597, insert_slb(_125595, pair(_125591, _125589)), _125593)))]]], (442 ^ _110269) ^ [_126175, _126177, _126179, _126181, _126183] : [strictly_less_than(_126177, _126175), 445 ^ _110269 : [(446 ^ _110269) ^ [] : [check_cpq(triple(_126183, insert_slb(_126181, pair(_126177, _126175)), _126179)), 449 ^ _110269 : [(450 ^ _110269) ^ [] : [-(false___)], (452 ^ _110269) ^ [] : [false___]]], (454 ^ _110269) ^ [] : [-(check_cpq(triple(_126183, insert_slb(_126181, pair(_126177, _126175)), _126179))), false___, -(false___)]]], (464 ^ _110269) ^ [_126922, _126924, _126926, _126928] : [contains_cpq(triple(_126928, _126926, _126924), _126922), -(contains_slb(_126926, _126922))], (470 ^ _110269) ^ [_127104, _127106, _127108, _127110] : [contains_slb(_127108, _127104), -(contains_cpq(triple(_127110, _127108, _127106), _127104))], (476 ^ _110269) ^ [_127365, _127367] : [ok(triple(_127367, _127365, bad)), 479 ^ _110269 : [(480 ^ _110269) ^ [] : [-(false___)], (482 ^ _110269) ^ [] : [false___]]], (484 ^ _110269) ^ [_127589, _127591] : [-(ok(triple(_127591, _127589, bad))), false___, -(false___)], (494 ^ _110269) ^ [_127896, _127898, _127900] : [-(ok(triple(_127900, _127898, _127896))), -(_127896 = bad)], (500 ^ _110269) ^ [_128134, _128136, _128138, _128140] : [-(insert_cpq(triple(_128140, _128138, _128136), _128134) = triple(insert_pqp(_128140, _128134), insert_slb(_128138, pair(_128134, bottom)), _128136))], (502 ^ _110269) ^ [_128295, _128297, _128299, _128301] : [-(contains_slb(_128299, _128295)), -(remove_cpq(triple(_128301, _128299, _128297), _128295) = triple(_128301, _128299, bad))], (508 ^ _110269) ^ [_128570, _128572, _128574, _128576] : [-(remove_cpq(triple(_128576, _128574, _128572), _128570) = triple(remove_pqp(_128576, _128570), remove_slb(_128574, _128570), _128572)), contains_slb(_128574, _128570), less_than(lookup_slb(_128574, _128570), _128570)], (518 ^ _110269) ^ [_128957, _128959, _128961, _128963] : [-(remove_cpq(triple(_128963, _128961, _128959), _128957) = triple(remove_pqp(_128963, _128957), remove_slb(_128961, _128957), bad)), contains_slb(_128961, _128957), strictly_less_than(_128957, lookup_slb(_128961, _128957))], (528 ^ _110269) ^ [_129301, _129303] : [-(findmin_cpq_eff(triple(_129303, create_slb, _129301)) = triple(_129303, create_slb, bad))], (530 ^ _110269) ^ [_129448, _129450, _129452, _129454] : [-(findmin_cpq_eff(triple(_129454, _129452, _129450)) = triple(_129454, update_slb(_129452, findmin_pqp_res(_129454)), bad)), -(_129452 = create_slb), -(contains_slb(_129452, findmin_pqp_res(_129454)))], (540 ^ _110269) ^ [_129835, _129837, _129839, _129841] : [-(findmin_cpq_eff(triple(_129841, _129839, _129837)) = triple(_129841, update_slb(_129839, findmin_pqp_res(_129841)), bad)), -(_129839 = create_slb), contains_slb(_129839, findmin_pqp_res(_129841)), strictly_less_than(findmin_pqp_res(_129841), lookup_slb(_129839, findmin_pqp_res(_129841)))], (568 ^ _110269) ^ [_130782, _130784] : [-(findmin_cpq_res(triple(_130784, create_slb, _130782)) = bottom)], (576 ^ _110269) ^ [_131137] : [-(removemin_cpq_eff(_131137) = remove_cpq(findmin_cpq_eff(_131137), findmin_cpq_res(_131137)))], (578 ^ _110269) ^ [_131204] : [-(removemin_cpq_res(_131204) = findmin_cpq_res(_131204))], (570 ^ _110269) ^ [_130925, _130927, _130929, _130931] : [-(_130929 = create_slb), -(findmin_cpq_res(triple(_130931, _130929, _130927)) = findmin_pqp_res(_130931))], (554 ^ _110269) ^ [_130330, _130332, _130334, _130336] : [-(findmin_cpq_eff(triple(_130336, _130334, _130332)) = triple(_130336, update_slb(_130334, findmin_pqp_res(_130336)), _130332)), -(_130334 = create_slb), contains_slb(_130334, findmin_pqp_res(_130336)), less_than(lookup_slb(_130334, findmin_pqp_res(_130336)), findmin_pqp_res(_130336))]], input).
% 0.34/1.40  ncf('1',plain,[pair_in_list(create_slb, 585 ^ [], 586 ^ [])],start(334 ^ 0,bind([[_121826, _121828], [586 ^ [], 585 ^ []]]))).
% 0.34/1.40  ncf('1.1',plain,[-(pair_in_list(create_slb, 585 ^ [], 586 ^ [])), 598 : check_cpq(triple(579 ^ [], create_slb, 580 ^ []))],extension(582 ^ 1)).
% 0.34/1.40  ncf('1.1.1',plain,[-(check_cpq(triple(579 ^ [], create_slb, 580 ^ [])))],extension(424 ^ 4,bind([[_125435, _125437], [580 ^ [], 579 ^ []]]))).
% 0.34/1.40  %-----------------------------------------------------
% 0.34/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------