%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV387+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV387+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 02:08:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(593 ^ _113313) ^ [] : [check_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []))], (596 ^ _113313) ^ [] : [-(check_cpq(remove_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []), 594 ^ [])))], (598 ^ _113313) ^ [] : [-(ok(remove_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []), 594 ^ [])))], (2 ^ _113313) ^ [_113457] : [-(_113457 = _113457)], (4 ^ _113313) ^ [_113564, _113566] : [_113566 = _113564, -(_113564 = _113566)], (10 ^ _113313) ^ [_113768, _113770, _113772] : [-(_113772 = _113768), _113772 = _113770, _113770 = _113768], (20 ^ _113313) ^ [_114081, _114083] : [-(isnonempty_slb(_114081)), _114083 = _114081, isnonempty_slb(_114083)], (30 ^ _113313) ^ [_114432, _114434, _114436, _114438, _114440, _114442] : [-(pair_in_list(_114440, _114436, _114432)), pair_in_list(_114442, _114438, _114434), _114442 = _114440, _114438 = _114436, _114434 = _114432], (48 ^ _113313) ^ [_115013, _115015, _115017, _115019] : [-(succ_cpq(_115017, _115013)), succ_cpq(_115019, _115015), _115019 = _115017, _115015 = _115013], (62 ^ _113313) ^ [_115457, _115459, _115461, _115463] : [-(contains_cpq(_115461, _115457)), contains_cpq(_115463, _115459), _115463 = _115461, _115459 = _115457], (76 ^ _113313) ^ [_115901, _115903, _115905, _115907] : [-(strictly_less_than(_115905, _115901)), strictly_less_than(_115907, _115903), _115907 = _115905, _115903 = _115901], (90 ^ _113313) ^ [_116345, _116347, _116349, _116351] : [-(contains_slb(_116349, _116345)), contains_slb(_116351, _116347), _116351 = _116349, _116347 = _116345], (104 ^ _113313) ^ [_116789, _116791, _116793, _116795] : [-(less_than(_116793, _116789)), less_than(_116795, _116791), _116795 = _116793, _116791 = _116789], (118 ^ _113313) ^ [_117205, _117207] : [-(check_cpq(_117205)), _117207 = _117205, check_cpq(_117207)], (128 ^ _113313) ^ [_117480, _117482] : [-(ok(_117480)), _117482 = _117480, ok(_117482)], (138 ^ _113313) ^ [_117825, _117827, _117829, _117831] : [-(insert_cpq(_117831, _117827) = insert_cpq(_117829, _117825)), _117831 = _117829, _117827 = _117825], (148 ^ _113313) ^ [_118184, _118186, _118188, _118190] : [-(insert_pqp(_118190, _118186) = insert_pqp(_118188, _118184)), _118190 = _118188, _118186 = _118184], (158 ^ _113313) ^ [_118543, _118545, _118547, _118549] : [-(insert_slb(_118549, _118545) = insert_slb(_118547, _118543)), _118549 = _118547, _118545 = _118543], (168 ^ _113313) ^ [_118902, _118904, _118906, _118908] : [-(pair(_118908, _118904) = pair(_118906, _118902)), _118908 = _118906, _118904 = _118902], (178 ^ _113313) ^ [_119261, _119263, _119265, _119267] : [-(remove_pqp(_119267, _119263) = remove_pqp(_119265, _119261)), _119267 = _119265, _119263 = _119261], (188 ^ _113313) ^ [_119620, _119622, _119624, _119626] : [-(remove_slb(_119626, _119622) = remove_slb(_119624, _119620)), _119626 = _119624, _119622 = _119620], (198 ^ _113313) ^ [_119979, _119981, _119983, _119985] : [-(lookup_slb(_119985, _119981) = lookup_slb(_119983, _119979)), _119985 = _119983, _119981 = _119979], (208 ^ _113313) ^ [_120338, _120340, _120342, _120344] : [-(update_slb(_120344, _120340) = update_slb(_120342, _120338)), _120344 = _120342, _120340 = _120338], (218 ^ _113313) ^ [_120669, _120671] : [_120671 = _120669, -(findmin_pqp_res(_120671) = findmin_pqp_res(_120669))], (224 ^ _113313) ^ [_120887, _120889] : [_120889 = _120887, -(removemin_cpq_eff(_120889) = removemin_cpq_eff(_120887))], (230 ^ _113313) ^ [_121105, _121107] : [_121107 = _121105, -(findmin_cpq_eff(_121107) = findmin_cpq_eff(_121105))], (236 ^ _113313) ^ [_121323, _121325] : [_121325 = _121323, -(removemin_cpq_res(_121325) = removemin_cpq_res(_121323))], (242 ^ _113313) ^ [_121541, _121543] : [_121543 = _121541, -(findmin_cpq_res(_121543) = findmin_cpq_res(_121541))], (248 ^ _113313) ^ [_121787, _121789, _121791, _121793] : [-(remove_cpq(_121793, _121789) = remove_cpq(_121791, _121787)), _121793 = _121791, _121789 = _121787], (258 ^ _113313) ^ [_122154, _122156, _122158, _122160, _122162, _122164] : [-(triple(_122164, _122160, _122156) = triple(_122162, _122158, _122154)), _122164 = _122162, _122160 = _122158, _122156 = _122154], (272 ^ _113313) ^ [_122732, _122734, _122736] : [-(less_than(_122736, _122732)), less_than(_122736, _122734), less_than(_122734, _122732)], (282 ^ _113313) ^ [_123041, _123043] : [-(less_than(_123043, _123041)), -(less_than(_123041, _123043))], (288 ^ _113313) ^ [_123223] : [-(less_than(_123223, _123223))], (308 ^ _113313) ^ [_123852] : [-(less_than(bottom, _123852))], (290 ^ _113313) ^ [_123359, _123361] : [strictly_less_than(_123361, _123359), 293 ^ _113313 : [(294 ^ _113313) ^ [] : [-(less_than(_123361, _123359))], (296 ^ _113313) ^ [] : [less_than(_123359, _123361)]]], (298 ^ _113313) ^ [_123597, _123599] : [-(strictly_less_than(_123599, _123597)), less_than(_123599, _123597), -(less_than(_123597, _123599))], (310 ^ _113313) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _113313) ^ [_124038, _124040, _124042] : [-(isnonempty_slb(insert_slb(_124042, pair(_124040, _124038))))], (314 ^ _113313) ^ [_124124] : [contains_slb(create_slb, _124124)], (326 ^ _113313) ^ [_124572, _124574, _124576, _124578] : [327 ^ _113313 : [(328 ^ _113313) ^ [] : [contains_slb(_124578, _124574)], (330 ^ _113313) ^ [] : [_124576 = _124574]], -(contains_slb(insert_slb(_124578, pair(_124576, _124572)), _124574))], (316 ^ _113313) ^ [_124288, _124290, _124292, _124294] : [contains_slb(insert_slb(_124294, pair(_124292, _124288)), _124290), -(contains_slb(_124294, _124290)), -(_124292 = _124290)], (334 ^ _113313) ^ [_124870, _124872] : [pair_in_list(create_slb, _124872, _124870)], (336 ^ _113313) ^ [_125051, _125053, _125055, _125057, _125059] : [pair_in_list(insert_slb(_125059, pair(_125057, _125053)), _125055, _125051), -(pair_in_list(_125059, _125055, _125051)), 343 ^ _113313 : [(344 ^ _113313) ^ [] : [-(_125057 = _125055)], (346 ^ _113313) ^ [] : [-(_125053 = _125051)]]], (348 ^ _113313) ^ [_125430, _125432, _125434, _125436, _125438] : [-(pair_in_list(insert_slb(_125438, pair(_125436, _125432)), _125434, _125430)), 349 ^ _113313 : [(350 ^ _113313) ^ [] : [pair_in_list(_125438, _125434, _125430)], (352 ^ _113313) ^ [] : [_125436 = _125434, _125432 = _125430]]], (360 ^ _113313) ^ [_125856, _125858, _125860] : [-(remove_slb(insert_slb(_125860, pair(_125858, _125856)), _125858) = _125860)], (362 ^ _113313) ^ [_126004, _126006, _126008, _126010] : [-(remove_slb(insert_slb(_126010, pair(_126008, _126004)), _126006) = insert_slb(remove_slb(_126010, _126006), pair(_126008, _126004))), -(_126008 = _126006), contains_slb(_126010, _126006)], (372 ^ _113313) ^ [_126361, _126363, _126365] : [-(lookup_slb(insert_slb(_126365, pair(_126363, _126361)), _126363) = _126361)], (374 ^ _113313) ^ [_126509, _126511, _126513, _126515] : [-(lookup_slb(insert_slb(_126515, pair(_126513, _126509)), _126511) = lookup_slb(_126515, _126511)), -(_126513 = _126511), contains_slb(_126515, _126511)], (384 ^ _113313) ^ [_126826] : [-(update_slb(create_slb, _126826) = create_slb)], (386 ^ _113313) ^ [_126964, _126966, _126968, _126970] : [strictly_less_than(_126964, _126966), -(update_slb(insert_slb(_126970, pair(_126968, _126964)), _126966) = insert_slb(update_slb(_126970, _126966), pair(_126968, _126966)))], (392 ^ _113313) ^ [_127230, _127232, _127234, _127236] : [less_than(_127232, _127230), -(update_slb(insert_slb(_127236, pair(_127234, _127230)), _127232) = insert_slb(update_slb(_127236, _127232), pair(_127234, _127230)))], (580 ^ _113313) ^ [_134443, _134445, _134447, _134449] : [-(check_cpq(triple(_134449, _134447, _134445))), check_cpq(remove_cpq(triple(_134449, _134447, _134445), _134443)), ok(remove_cpq(triple(_134449, _134447, _134445), _134443))], (398 ^ _113313) ^ [_127507] : [-(succ_cpq(_127507, _127507))], (400 ^ _113313) ^ [_127628, _127630, _127632] : [succ_cpq(_127632, _127630), -(succ_cpq(_127632, insert_cpq(_127630, _127628)))], (406 ^ _113313) ^ [_127864, _127866, _127868] : [succ_cpq(_127868, _127866), -(succ_cpq(_127868, remove_cpq(_127866, _127864)))], (412 ^ _113313) ^ [_128086, _128088] : [succ_cpq(_128088, _128086), -(succ_cpq(_128088, findmin_cpq_eff(_128086)))], (418 ^ _113313) ^ [_128300, _128302] : [succ_cpq(_128302, _128300), -(succ_cpq(_128302, removemin_cpq_eff(_128300)))], (424 ^ _113313) ^ [_128499, _128501] : [-(check_cpq(triple(_128501, create_slb, _128499)))], (426 ^ _113313) ^ [_128653, _128655, _128657, _128659, _128661] : [less_than(_128653, _128655), 429 ^ _113313 : [(430 ^ _113313) ^ [] : [check_cpq(triple(_128661, insert_slb(_128659, pair(_128655, _128653)), _128657)), -(check_cpq(triple(_128661, _128659, _128657)))], (436 ^ _113313) ^ [] : [check_cpq(triple(_128661, _128659, _128657)), -(check_cpq(triple(_128661, insert_slb(_128659, pair(_128655, _128653)), _128657)))]]], (442 ^ _113313) ^ [_129239, _129241, _129243, _129245, _129247] : [strictly_less_than(_129241, _129239), 445 ^ _113313 : [(446 ^ _113313) ^ [] : [check_cpq(triple(_129247, insert_slb(_129245, pair(_129241, _129239)), _129243)), 449 ^ _113313 : [(450 ^ _113313) ^ [] : [-(false___)], (452 ^ _113313) ^ [] : [false___]]], (454 ^ _113313) ^ [] : [-(check_cpq(triple(_129247, insert_slb(_129245, pair(_129241, _129239)), _129243))), false___, -(false___)]]], (464 ^ _113313) ^ [_129986, _129988, _129990, _129992] : [contains_cpq(triple(_129992, _129990, _129988), _129986), -(contains_slb(_129990, _129986))], (470 ^ _113313) ^ [_130168, _130170, _130172, _130174] : [contains_slb(_130172, _130168), -(contains_cpq(triple(_130174, _130172, _130170), _130168))], (476 ^ _113313) ^ [_130429, _130431] : [ok(triple(_130431, _130429, bad)), 479 ^ _113313 : [(480 ^ _113313) ^ [] : [-(false___)], (482 ^ _113313) ^ [] : [false___]]], (484 ^ _113313) ^ [_130653, _130655] : [-(ok(triple(_130655, _130653, bad))), false___, -(false___)], (494 ^ _113313) ^ [_130960, _130962, _130964] : [-(ok(triple(_130964, _130962, _130960))), -(_130960 = bad)], (500 ^ _113313) ^ [_131198, _131200, _131202, _131204] : [-(insert_cpq(triple(_131204, _131202, _131200), _131198) = triple(insert_pqp(_131204, _131198), insert_slb(_131202, pair(_131198, bottom)), _131200))], (502 ^ _113313) ^ [_131359, _131361, _131363, _131365] : [-(contains_slb(_131363, _131359)), -(remove_cpq(triple(_131365, _131363, _131361), _131359) = triple(_131365, _131363, bad))], (508 ^ _113313) ^ [_131634, _131636, _131638, _131640] : [-(remove_cpq(triple(_131640, _131638, _131636), _131634) = triple(remove_pqp(_131640, _131634), remove_slb(_131638, _131634), _131636)), contains_slb(_131638, _131634), less_than(lookup_slb(_131638, _131634), _131634)], (518 ^ _113313) ^ [_132021, _132023, _132025, _132027] : [-(remove_cpq(triple(_132027, _132025, _132023), _132021) = triple(remove_pqp(_132027, _132021), remove_slb(_132025, _132021), bad)), contains_slb(_132025, _132021), strictly_less_than(_132021, lookup_slb(_132025, _132021))], (528 ^ _113313) ^ [_132365, _132367] : [-(findmin_cpq_eff(triple(_132367, create_slb, _132365)) = triple(_132367, create_slb, bad))], (530 ^ _113313) ^ [_132512, _132514, _132516, _132518] : [-(findmin_cpq_eff(triple(_132518, _132516, _132514)) = triple(_132518, update_slb(_132516, findmin_pqp_res(_132518)), bad)), -(_132516 = create_slb), -(contains_slb(_132516, findmin_pqp_res(_132518)))], (540 ^ _113313) ^ [_132899, _132901, _132903, _132905] : [-(findmin_cpq_eff(triple(_132905, _132903, _132901)) = triple(_132905, update_slb(_132903, findmin_pqp_res(_132905)), bad)), -(_132903 = create_slb), contains_slb(_132903, findmin_pqp_res(_132905)), strictly_less_than(findmin_pqp_res(_132905), lookup_slb(_132903, findmin_pqp_res(_132905)))], (568 ^ _113313) ^ [_133846, _133848] : [-(findmin_cpq_res(triple(_133848, create_slb, _133846)) = bottom)], (576 ^ _113313) ^ [_134201] : [-(removemin_cpq_eff(_134201) = remove_cpq(findmin_cpq_eff(_134201), findmin_cpq_res(_134201)))], (578 ^ _113313) ^ [_134268] : [-(removemin_cpq_res(_134268) = findmin_cpq_res(_134268))], (570 ^ _113313) ^ [_133989, _133991, _133993, _133995] : [-(_133993 = create_slb), -(findmin_cpq_res(triple(_133995, _133993, _133991)) = findmin_pqp_res(_133995))], (554 ^ _113313) ^ [_133394, _133396, _133398, _133400] : [-(findmin_cpq_eff(triple(_133400, _133398, _133396)) = triple(_133400, update_slb(_133398, findmin_pqp_res(_133400)), _133396)), -(_133398 = create_slb), contains_slb(_133398, findmin_pqp_res(_133400)), less_than(lookup_slb(_133398, findmin_pqp_res(_133400)), findmin_pqp_res(_133400))]], input).
% 0.33/1.39  ncf('1',plain,[check_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []))],start(593 ^ 0)).
% 0.33/1.39  ncf('1.1',plain,[-(check_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []))), check_cpq(remove_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []), 594 ^ [])), ok(remove_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []), 594 ^ []))],extension(580 ^ 1,bind([[_134443, _134445, _134447, _134449], [594 ^ [], 591 ^ [], 590 ^ [], 589 ^ []]]))).
% 0.33/1.39  ncf('1.1.1',plain,[-(check_cpq(remove_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []), 594 ^ [])))],extension(596 ^ 2)).
% 0.33/1.39  ncf('1.1.2',plain,[-(ok(remove_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []), 594 ^ [])))],extension(598 ^ 2)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------