%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV383+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:20:32 EDT 2023

% Result   : Theorem 0.24s 1.31s
% Output   : Proof 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWV383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Fri May 19 02:46:50 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.24/1.31  
% 0.24/1.31  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.24/1.31  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/1.31  %-----------------------------------------------------
% 0.24/1.31  ncf(matrix, plain, [(599 ^ _116814) ^ [] : [check_cpq(triple(595 ^ [], 596 ^ [], 597 ^ []))], (604 ^ _116814) ^ [] : [-(succ_cpq(triple(595 ^ [], 596 ^ [], 597 ^ []), triple(600 ^ [], 601 ^ [], 602 ^ [])))], (606 ^ _116814) ^ [] : [-(ok(triple(600 ^ [], 601 ^ [], 602 ^ [])))], (608 ^ _116814) ^ [] : [-(check_cpq(triple(600 ^ [], 601 ^ [], 602 ^ [])))], (2 ^ _116814) ^ [_116958] : [-(_116958 = _116958)], (4 ^ _116814) ^ [_117065, _117067] : [_117067 = _117065, -(_117065 = _117067)], (10 ^ _116814) ^ [_117269, _117271, _117273] : [-(_117273 = _117269), _117273 = _117271, _117271 = _117269], (20 ^ _116814) ^ [_117582, _117584] : [-(isnonempty_slb(_117582)), _117584 = _117582, isnonempty_slb(_117584)], (30 ^ _116814) ^ [_117933, _117935, _117937, _117939, _117941, _117943] : [-(pair_in_list(_117941, _117937, _117933)), pair_in_list(_117943, _117939, _117935), _117943 = _117941, _117939 = _117937, _117935 = _117933], (48 ^ _116814) ^ [_118514, _118516, _118518, _118520] : [-(contains_cpq(_118518, _118514)), contains_cpq(_118520, _118516), _118520 = _118518, _118516 = _118514], (62 ^ _116814) ^ [_118958, _118960, _118962, _118964] : [-(strictly_less_than(_118962, _118958)), strictly_less_than(_118964, _118960), _118964 = _118962, _118960 = _118958], (76 ^ _116814) ^ [_119402, _119404, _119406, _119408] : [-(contains_slb(_119406, _119402)), contains_slb(_119408, _119404), _119408 = _119406, _119404 = _119402], (90 ^ _116814) ^ [_119846, _119848, _119850, _119852] : [-(less_than(_119850, _119846)), less_than(_119852, _119848), _119852 = _119850, _119848 = _119846], (104 ^ _116814) ^ [_120290, _120292, _120294, _120296] : [-(succ_cpq(_120294, _120290)), succ_cpq(_120296, _120292), _120296 = _120294, _120292 = _120290], (118 ^ _116814) ^ [_120706, _120708] : [-(ok(_120706)), _120708 = _120706, ok(_120708)], (128 ^ _116814) ^ [_120981, _120983] : [-(check_cpq(_120981)), _120983 = _120981, check_cpq(_120983)], (138 ^ _116814) ^ [_121326, _121328, _121330, _121332] : [-(insert_cpq(_121332, _121328) = insert_cpq(_121330, _121326)), _121332 = _121330, _121328 = _121326], (148 ^ _116814) ^ [_121685, _121687, _121689, _121691] : [-(insert_pqp(_121691, _121687) = insert_pqp(_121689, _121685)), _121691 = _121689, _121687 = _121685], (158 ^ _116814) ^ [_122044, _122046, _122048, _122050] : [-(insert_slb(_122050, _122046) = insert_slb(_122048, _122044)), _122050 = _122048, _122046 = _122044], (168 ^ _116814) ^ [_122403, _122405, _122407, _122409] : [-(pair(_122409, _122405) = pair(_122407, _122403)), _122409 = _122407, _122405 = _122403], (178 ^ _116814) ^ [_122762, _122764, _122766, _122768] : [-(remove_pqp(_122768, _122764) = remove_pqp(_122766, _122762)), _122768 = _122766, _122764 = _122762], (188 ^ _116814) ^ [_123121, _123123, _123125, _123127] : [-(remove_slb(_123127, _123123) = remove_slb(_123125, _123121)), _123127 = _123125, _123123 = _123121], (198 ^ _116814) ^ [_123480, _123482, _123484, _123486] : [-(lookup_slb(_123486, _123482) = lookup_slb(_123484, _123480)), _123486 = _123484, _123482 = _123480], (208 ^ _116814) ^ [_123839, _123841, _123843, _123845] : [-(update_slb(_123845, _123841) = update_slb(_123843, _123839)), _123845 = _123843, _123841 = _123839], (218 ^ _116814) ^ [_124170, _124172] : [_124172 = _124170, -(findmin_pqp_res(_124172) = findmin_pqp_res(_124170))], (224 ^ _116814) ^ [_124388, _124390] : [_124390 = _124388, -(removemin_cpq_eff(_124390) = removemin_cpq_eff(_124388))], (230 ^ _116814) ^ [_124634, _124636, _124638, _124640] : [-(remove_cpq(_124640, _124636) = remove_cpq(_124638, _124634)), _124640 = _124638, _124636 = _124634], (240 ^ _116814) ^ [_124965, _124967] : [_124967 = _124965, -(findmin_cpq_eff(_124967) = findmin_cpq_eff(_124965))], (246 ^ _116814) ^ [_125183, _125185] : [_125185 = _125183, -(removemin_cpq_res(_125185) = removemin_cpq_res(_125183))], (252 ^ _116814) ^ [_125401, _125403] : [_125403 = _125401, -(findmin_cpq_res(_125403) = findmin_cpq_res(_125401))], (258 ^ _116814) ^ [_125655, _125657, _125659, _125661, _125663, _125665] : [-(triple(_125665, _125661, _125657) = triple(_125663, _125659, _125655)), _125665 = _125663, _125661 = _125659, _125657 = _125655], (272 ^ _116814) ^ [_126233, _126235, _126237] : [-(less_than(_126237, _126233)), less_than(_126237, _126235), less_than(_126235, _126233)], (282 ^ _116814) ^ [_126542, _126544] : [-(less_than(_126544, _126542)), -(less_than(_126542, _126544))], (288 ^ _116814) ^ [_126724] : [-(less_than(_126724, _126724))], (308 ^ _116814) ^ [_127353] : [-(less_than(bottom, _127353))], (290 ^ _116814) ^ [_126860, _126862] : [strictly_less_than(_126862, _126860), 293 ^ _116814 : [(294 ^ _116814) ^ [] : [-(less_than(_126862, _126860))], (296 ^ _116814) ^ [] : [less_than(_126860, _126862)]]], (298 ^ _116814) ^ [_127098, _127100] : [-(strictly_less_than(_127100, _127098)), less_than(_127100, _127098), -(less_than(_127098, _127100))], (310 ^ _116814) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _116814) ^ [_127539, _127541, _127543] : [-(isnonempty_slb(insert_slb(_127543, pair(_127541, _127539))))], (314 ^ _116814) ^ [_127625] : [contains_slb(create_slb, _127625)], (326 ^ _116814) ^ [_128073, _128075, _128077, _128079] : [327 ^ _116814 : [(328 ^ _116814) ^ [] : [contains_slb(_128079, _128075)], (330 ^ _116814) ^ [] : [_128077 = _128075]], -(contains_slb(insert_slb(_128079, pair(_128077, _128073)), _128075))], (316 ^ _116814) ^ [_127789, _127791, _127793, _127795] : [contains_slb(insert_slb(_127795, pair(_127793, _127789)), _127791), -(contains_slb(_127795, _127791)), -(_127793 = _127791)], (334 ^ _116814) ^ [_128371, _128373] : [pair_in_list(create_slb, _128373, _128371)], (336 ^ _116814) ^ [_128552, _128554, _128556, _128558, _128560] : [pair_in_list(insert_slb(_128560, pair(_128558, _128554)), _128556, _128552), -(pair_in_list(_128560, _128556, _128552)), 343 ^ _116814 : [(344 ^ _116814) ^ [] : [-(_128558 = _128556)], (346 ^ _116814) ^ [] : [-(_128554 = _128552)]]], (348 ^ _116814) ^ [_128931, _128933, _128935, _128937, _128939] : [-(pair_in_list(insert_slb(_128939, pair(_128937, _128933)), _128935, _128931)), 349 ^ _116814 : [(350 ^ _116814) ^ [] : [pair_in_list(_128939, _128935, _128931)], (352 ^ _116814) ^ [] : [_128937 = _128935, _128933 = _128931]]], (360 ^ _116814) ^ [_129357, _129359, _129361] : [-(remove_slb(insert_slb(_129361, pair(_129359, _129357)), _129359) = _129361)], (362 ^ _116814) ^ [_129505, _129507, _129509, _129511] : [-(remove_slb(insert_slb(_129511, pair(_129509, _129505)), _129507) = insert_slb(remove_slb(_129511, _129507), pair(_129509, _129505))), -(_129509 = _129507), contains_slb(_129511, _129507)], (372 ^ _116814) ^ [_129862, _129864, _129866] : [-(lookup_slb(insert_slb(_129866, pair(_129864, _129862)), _129864) = _129862)], (374 ^ _116814) ^ [_130010, _130012, _130014, _130016] : [-(lookup_slb(insert_slb(_130016, pair(_130014, _130010)), _130012) = lookup_slb(_130016, _130012)), -(_130014 = _130012), contains_slb(_130016, _130012)], (384 ^ _116814) ^ [_130327] : [-(update_slb(create_slb, _130327) = create_slb)], (386 ^ _116814) ^ [_130465, _130467, _130469, _130471] : [strictly_less_than(_130465, _130467), -(update_slb(insert_slb(_130471, pair(_130469, _130465)), _130467) = insert_slb(update_slb(_130471, _130467), pair(_130469, _130467)))], (392 ^ _116814) ^ [_130731, _130733, _130735, _130737] : [less_than(_130733, _130731), -(update_slb(insert_slb(_130737, pair(_130735, _130731)), _130733) = insert_slb(update_slb(_130737, _130733), pair(_130735, _130731)))], (580 ^ _116814) ^ [_137930, _137932, _137934] : [581 ^ _116814 : [(582 ^ _116814) ^ [] : [-(check_cpq(triple(_137934, _137932, _137930)))], (584 ^ _116814) ^ [] : [-(ok(triple(_137934, _137932, _137930)))]], 585 ^ _116814 : [(586 ^ _116814) ^ [_138226, _138228, _138230] : [succ_cpq(triple(_137934, _137932, _137930), triple(_138230, _138228, _138226)), ok(triple(_138230, _138228, _138226)), check_cpq(triple(_138230, _138228, _138226))]]], (398 ^ _116814) ^ [_131008] : [-(succ_cpq(_131008, _131008))], (400 ^ _116814) ^ [_131129, _131131, _131133] : [succ_cpq(_131133, _131131), -(succ_cpq(_131133, insert_cpq(_131131, _131129)))], (406 ^ _116814) ^ [_131365, _131367, _131369] : [succ_cpq(_131369, _131367), -(succ_cpq(_131369, remove_cpq(_131367, _131365)))], (412 ^ _116814) ^ [_131587, _131589] : [succ_cpq(_131589, _131587), -(succ_cpq(_131589, findmin_cpq_eff(_131587)))], (418 ^ _116814) ^ [_131801, _131803] : [succ_cpq(_131803, _131801), -(succ_cpq(_131803, removemin_cpq_eff(_131801)))], (424 ^ _116814) ^ [_132000, _132002] : [-(check_cpq(triple(_132002, create_slb, _132000)))], (426 ^ _116814) ^ [_132154, _132156, _132158, _132160, _132162] : [less_than(_132154, _132156), 429 ^ _116814 : [(430 ^ _116814) ^ [] : [check_cpq(triple(_132162, insert_slb(_132160, pair(_132156, _132154)), _132158)), -(check_cpq(triple(_132162, _132160, _132158)))], (436 ^ _116814) ^ [] : [check_cpq(triple(_132162, _132160, _132158)), -(check_cpq(triple(_132162, insert_slb(_132160, pair(_132156, _132154)), _132158)))]]], (442 ^ _116814) ^ [_132740, _132742, _132744, _132746, _132748] : [strictly_less_than(_132742, _132740), 445 ^ _116814 : [(446 ^ _116814) ^ [] : [check_cpq(triple(_132748, insert_slb(_132746, pair(_132742, _132740)), _132744)), 449 ^ _116814 : [(450 ^ _116814) ^ [] : [-(false___)], (452 ^ _116814) ^ [] : [false___]]], (454 ^ _116814) ^ [] : [-(check_cpq(triple(_132748, insert_slb(_132746, pair(_132742, _132740)), _132744))), false___, -(false___)]]], (464 ^ _116814) ^ [_133487, _133489, _133491, _133493] : [contains_cpq(triple(_133493, _133491, _133489), _133487), -(contains_slb(_133491, _133487))], (470 ^ _116814) ^ [_133669, _133671, _133673, _133675] : [contains_slb(_133673, _133669), -(contains_cpq(triple(_133675, _133673, _133671), _133669))], (476 ^ _116814) ^ [_133930, _133932] : [ok(triple(_133932, _133930, bad)), 479 ^ _116814 : [(480 ^ _116814) ^ [] : [-(false___)], (482 ^ _116814) ^ [] : [false___]]], (484 ^ _116814) ^ [_134154, _134156] : [-(ok(triple(_134156, _134154, bad))), false___, -(false___)], (494 ^ _116814) ^ [_134461, _134463, _134465] : [-(ok(triple(_134465, _134463, _134461))), -(_134461 = bad)], (500 ^ _116814) ^ [_134699, _134701, _134703, _134705] : [-(insert_cpq(triple(_134705, _134703, _134701), _134699) = triple(insert_pqp(_134705, _134699), insert_slb(_134703, pair(_134699, bottom)), _134701))], (502 ^ _116814) ^ [_134860, _134862, _134864, _134866] : [-(contains_slb(_134864, _134860)), -(remove_cpq(triple(_134866, _134864, _134862), _134860) = triple(_134866, _134864, bad))], (508 ^ _116814) ^ [_135135, _135137, _135139, _135141] : [-(remove_cpq(triple(_135141, _135139, _135137), _135135) = triple(remove_pqp(_135141, _135135), remove_slb(_135139, _135135), _135137)), contains_slb(_135139, _135135), less_than(lookup_slb(_135139, _135135), _135135)], (518 ^ _116814) ^ [_135522, _135524, _135526, _135528] : [-(remove_cpq(triple(_135528, _135526, _135524), _135522) = triple(remove_pqp(_135528, _135522), remove_slb(_135526, _135522), bad)), contains_slb(_135526, _135522), strictly_less_than(_135522, lookup_slb(_135526, _135522))], (528 ^ _116814) ^ [_135866, _135868] : [-(findmin_cpq_eff(triple(_135868, create_slb, _135866)) = triple(_135868, create_slb, bad))], (530 ^ _116814) ^ [_136013, _136015, _136017, _136019] : [-(findmin_cpq_eff(triple(_136019, _136017, _136015)) = triple(_136019, update_slb(_136017, findmin_pqp_res(_136019)), bad)), -(_136017 = create_slb), -(contains_slb(_136017, findmin_pqp_res(_136019)))], (540 ^ _116814) ^ [_136400, _136402, _136404, _136406] : [-(findmin_cpq_eff(triple(_136406, _136404, _136402)) = triple(_136406, update_slb(_136404, findmin_pqp_res(_136406)), bad)), -(_136404 = create_slb), contains_slb(_136404, findmin_pqp_res(_136406)), strictly_less_than(findmin_pqp_res(_136406), lookup_slb(_136404, findmin_pqp_res(_136406)))], (568 ^ _116814) ^ [_137347, _137349] : [-(findmin_cpq_res(triple(_137349, create_slb, _137347)) = bottom)], (576 ^ _116814) ^ [_137702] : [-(removemin_cpq_eff(_137702) = remove_cpq(findmin_cpq_eff(_137702), findmin_cpq_res(_137702)))], (578 ^ _116814) ^ [_137769] : [-(removemin_cpq_res(_137769) = findmin_cpq_res(_137769))], (570 ^ _116814) ^ [_137490, _137492, _137494, _137496] : [-(_137494 = create_slb), -(findmin_cpq_res(triple(_137496, _137494, _137492)) = findmin_pqp_res(_137496))], (554 ^ _116814) ^ [_136895, _136897, _136899, _136901] : [-(findmin_cpq_eff(triple(_136901, _136899, _136897)) = triple(_136901, update_slb(_136899, findmin_pqp_res(_136901)), _136897)), -(_136899 = create_slb), contains_slb(_136899, findmin_pqp_res(_136901)), less_than(lookup_slb(_136899, findmin_pqp_res(_136901)), findmin_pqp_res(_136901))]], input).
% 0.24/1.31  ncf('1',plain,[check_cpq(triple(595 ^ [], 596 ^ [], 597 ^ []))],start(599 ^ 0)).
% 0.24/1.31  ncf('1.1',plain,[-(check_cpq(triple(595 ^ [], 596 ^ [], 597 ^ []))), 586 : succ_cpq(triple(595 ^ [], 596 ^ [], 597 ^ []), triple(600 ^ [], 601 ^ [], 602 ^ [])), 586 : ok(triple(600 ^ [], 601 ^ [], 602 ^ [])), 586 : check_cpq(triple(600 ^ [], 601 ^ [], 602 ^ []))],extension(580 ^ 1,bind([[_137930, _137932, _137934, _138226, _138228, _138230], [597 ^ [], 596 ^ [], 595 ^ [], 602 ^ [], 601 ^ [], 600 ^ []]]))).
% 0.24/1.31  ncf('1.1.1',plain,[-(succ_cpq(triple(595 ^ [], 596 ^ [], 597 ^ []), triple(600 ^ [], 601 ^ [], 602 ^ [])))],extension(604 ^ 4)).
% 0.24/1.31  ncf('1.1.2',plain,[-(ok(triple(600 ^ [], 601 ^ [], 602 ^ [])))],extension(606 ^ 4)).
% 0.24/1.31  ncf('1.1.3',plain,[-(check_cpq(triple(600 ^ [], 601 ^ [], 602 ^ [])))],extension(608 ^ 4)).
% 0.24/1.31  %-----------------------------------------------------
% 0.24/1.31  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------