%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV386+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV386+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n008.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 02:41:54 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(589 ^ _112742) ^ [] : [check_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []))], (592 ^ _112742) ^ [] : [-(check_cpq(insert_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []), 590 ^ [])))], (594 ^ _112742) ^ [] : [-(ok(insert_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []), 590 ^ [])))], (2 ^ _112742) ^ [_112886] : [-(_112886 = _112886)], (4 ^ _112742) ^ [_112993, _112995] : [_112995 = _112993, -(_112993 = _112995)], (10 ^ _112742) ^ [_113197, _113199, _113201] : [-(_113201 = _113197), _113201 = _113199, _113199 = _113197], (20 ^ _112742) ^ [_113510, _113512] : [-(isnonempty_slb(_113510)), _113512 = _113510, isnonempty_slb(_113512)], (30 ^ _112742) ^ [_113861, _113863, _113865, _113867, _113869, _113871] : [-(pair_in_list(_113869, _113865, _113861)), pair_in_list(_113871, _113867, _113863), _113871 = _113869, _113867 = _113865, _113863 = _113861], (48 ^ _112742) ^ [_114442, _114444, _114446, _114448] : [-(succ_cpq(_114446, _114442)), succ_cpq(_114448, _114444), _114448 = _114446, _114444 = _114442], (62 ^ _112742) ^ [_114886, _114888, _114890, _114892] : [-(contains_cpq(_114890, _114886)), contains_cpq(_114892, _114888), _114892 = _114890, _114888 = _114886], (76 ^ _112742) ^ [_115330, _115332, _115334, _115336] : [-(strictly_less_than(_115334, _115330)), strictly_less_than(_115336, _115332), _115336 = _115334, _115332 = _115330], (90 ^ _112742) ^ [_115774, _115776, _115778, _115780] : [-(contains_slb(_115778, _115774)), contains_slb(_115780, _115776), _115780 = _115778, _115776 = _115774], (104 ^ _112742) ^ [_116218, _116220, _116222, _116224] : [-(less_than(_116222, _116218)), less_than(_116224, _116220), _116224 = _116222, _116220 = _116218], (118 ^ _112742) ^ [_116634, _116636] : [-(check_cpq(_116634)), _116636 = _116634, check_cpq(_116636)], (128 ^ _112742) ^ [_116909, _116911] : [-(ok(_116909)), _116911 = _116909, ok(_116911)], (138 ^ _112742) ^ [_117254, _117256, _117258, _117260] : [-(insert_pqp(_117260, _117256) = insert_pqp(_117258, _117254)), _117260 = _117258, _117256 = _117254], (148 ^ _112742) ^ [_117613, _117615, _117617, _117619] : [-(insert_slb(_117619, _117615) = insert_slb(_117617, _117613)), _117619 = _117617, _117615 = _117613], (158 ^ _112742) ^ [_117972, _117974, _117976, _117978] : [-(pair(_117978, _117974) = pair(_117976, _117972)), _117978 = _117976, _117974 = _117972], (168 ^ _112742) ^ [_118331, _118333, _118335, _118337] : [-(remove_pqp(_118337, _118333) = remove_pqp(_118335, _118331)), _118337 = _118335, _118333 = _118331], (178 ^ _112742) ^ [_118690, _118692, _118694, _118696] : [-(remove_slb(_118696, _118692) = remove_slb(_118694, _118690)), _118696 = _118694, _118692 = _118690], (188 ^ _112742) ^ [_119049, _119051, _119053, _119055] : [-(lookup_slb(_119055, _119051) = lookup_slb(_119053, _119049)), _119055 = _119053, _119051 = _119049], (198 ^ _112742) ^ [_119408, _119410, _119412, _119414] : [-(update_slb(_119414, _119410) = update_slb(_119412, _119408)), _119414 = _119412, _119410 = _119408], (208 ^ _112742) ^ [_119739, _119741] : [_119741 = _119739, -(findmin_pqp_res(_119741) = findmin_pqp_res(_119739))], (214 ^ _112742) ^ [_119957, _119959] : [_119959 = _119957, -(removemin_cpq_eff(_119959) = removemin_cpq_eff(_119957))], (220 ^ _112742) ^ [_120203, _120205, _120207, _120209] : [-(remove_cpq(_120209, _120205) = remove_cpq(_120207, _120203)), _120209 = _120207, _120205 = _120203], (230 ^ _112742) ^ [_120534, _120536] : [_120536 = _120534, -(findmin_cpq_eff(_120536) = findmin_cpq_eff(_120534))], (236 ^ _112742) ^ [_120752, _120754] : [_120754 = _120752, -(removemin_cpq_res(_120754) = removemin_cpq_res(_120752))], (242 ^ _112742) ^ [_120970, _120972] : [_120972 = _120970, -(findmin_cpq_res(_120972) = findmin_cpq_res(_120970))], (248 ^ _112742) ^ [_121216, _121218, _121220, _121222] : [-(insert_cpq(_121222, _121218) = insert_cpq(_121220, _121216)), _121222 = _121220, _121218 = _121216], (258 ^ _112742) ^ [_121583, _121585, _121587, _121589, _121591, _121593] : [-(triple(_121593, _121589, _121585) = triple(_121591, _121587, _121583)), _121593 = _121591, _121589 = _121587, _121585 = _121583], (272 ^ _112742) ^ [_122161, _122163, _122165] : [-(less_than(_122165, _122161)), less_than(_122165, _122163), less_than(_122163, _122161)], (282 ^ _112742) ^ [_122470, _122472] : [-(less_than(_122472, _122470)), -(less_than(_122470, _122472))], (288 ^ _112742) ^ [_122652] : [-(less_than(_122652, _122652))], (308 ^ _112742) ^ [_123281] : [-(less_than(bottom, _123281))], (290 ^ _112742) ^ [_122788, _122790] : [strictly_less_than(_122790, _122788), 293 ^ _112742 : [(294 ^ _112742) ^ [] : [-(less_than(_122790, _122788))], (296 ^ _112742) ^ [] : [less_than(_122788, _122790)]]], (298 ^ _112742) ^ [_123026, _123028] : [-(strictly_less_than(_123028, _123026)), less_than(_123028, _123026), -(less_than(_123026, _123028))], (310 ^ _112742) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _112742) ^ [_123467, _123469, _123471] : [-(isnonempty_slb(insert_slb(_123471, pair(_123469, _123467))))], (314 ^ _112742) ^ [_123553] : [contains_slb(create_slb, _123553)], (326 ^ _112742) ^ [_124001, _124003, _124005, _124007] : [327 ^ _112742 : [(328 ^ _112742) ^ [] : [contains_slb(_124007, _124003)], (330 ^ _112742) ^ [] : [_124005 = _124003]], -(contains_slb(insert_slb(_124007, pair(_124005, _124001)), _124003))], (316 ^ _112742) ^ [_123717, _123719, _123721, _123723] : [contains_slb(insert_slb(_123723, pair(_123721, _123717)), _123719), -(contains_slb(_123723, _123719)), -(_123721 = _123719)], (334 ^ _112742) ^ [_124299, _124301] : [pair_in_list(create_slb, _124301, _124299)], (336 ^ _112742) ^ [_124480, _124482, _124484, _124486, _124488] : [pair_in_list(insert_slb(_124488, pair(_124486, _124482)), _124484, _124480), -(pair_in_list(_124488, _124484, _124480)), 343 ^ _112742 : [(344 ^ _112742) ^ [] : [-(_124486 = _124484)], (346 ^ _112742) ^ [] : [-(_124482 = _124480)]]], (348 ^ _112742) ^ [_124859, _124861, _124863, _124865, _124867] : [-(pair_in_list(insert_slb(_124867, pair(_124865, _124861)), _124863, _124859)), 349 ^ _112742 : [(350 ^ _112742) ^ [] : [pair_in_list(_124867, _124863, _124859)], (352 ^ _112742) ^ [] : [_124865 = _124863, _124861 = _124859]]], (360 ^ _112742) ^ [_125285, _125287, _125289] : [-(remove_slb(insert_slb(_125289, pair(_125287, _125285)), _125287) = _125289)], (362 ^ _112742) ^ [_125433, _125435, _125437, _125439] : [-(remove_slb(insert_slb(_125439, pair(_125437, _125433)), _125435) = insert_slb(remove_slb(_125439, _125435), pair(_125437, _125433))), -(_125437 = _125435), contains_slb(_125439, _125435)], (372 ^ _112742) ^ [_125790, _125792, _125794] : [-(lookup_slb(insert_slb(_125794, pair(_125792, _125790)), _125792) = _125790)], (374 ^ _112742) ^ [_125938, _125940, _125942, _125944] : [-(lookup_slb(insert_slb(_125944, pair(_125942, _125938)), _125940) = lookup_slb(_125944, _125940)), -(_125942 = _125940), contains_slb(_125944, _125940)], (384 ^ _112742) ^ [_126255] : [-(update_slb(create_slb, _126255) = create_slb)], (386 ^ _112742) ^ [_126393, _126395, _126397, _126399] : [strictly_less_than(_126393, _126395), -(update_slb(insert_slb(_126399, pair(_126397, _126393)), _126395) = insert_slb(update_slb(_126399, _126395), pair(_126397, _126395)))], (392 ^ _112742) ^ [_126659, _126661, _126663, _126665] : [less_than(_126661, _126659), -(update_slb(insert_slb(_126665, pair(_126663, _126659)), _126661) = insert_slb(update_slb(_126665, _126661), pair(_126663, _126659)))], (580 ^ _112742) ^ [_133858, _133860, _133862] : [-(check_cpq(triple(_133862, _133860, _133858))), 583 ^ _112742 : [(584 ^ _112742) ^ [_133994] : [check_cpq(insert_cpq(triple(_133862, _133860, _133858), _133994))]]], (398 ^ _112742) ^ [_126936] : [-(succ_cpq(_126936, _126936))], (400 ^ _112742) ^ [_127057, _127059, _127061] : [succ_cpq(_127061, _127059), -(succ_cpq(_127061, insert_cpq(_127059, _127057)))], (406 ^ _112742) ^ [_127293, _127295, _127297] : [succ_cpq(_127297, _127295), -(succ_cpq(_127297, remove_cpq(_127295, _127293)))], (412 ^ _112742) ^ [_127515, _127517] : [succ_cpq(_127517, _127515), -(succ_cpq(_127517, findmin_cpq_eff(_127515)))], (418 ^ _112742) ^ [_127729, _127731] : [succ_cpq(_127731, _127729), -(succ_cpq(_127731, removemin_cpq_eff(_127729)))], (424 ^ _112742) ^ [_127928, _127930] : [-(check_cpq(triple(_127930, create_slb, _127928)))], (426 ^ _112742) ^ [_128082, _128084, _128086, _128088, _128090] : [less_than(_128082, _128084), 429 ^ _112742 : [(430 ^ _112742) ^ [] : [check_cpq(triple(_128090, insert_slb(_128088, pair(_128084, _128082)), _128086)), -(check_cpq(triple(_128090, _128088, _128086)))], (436 ^ _112742) ^ [] : [check_cpq(triple(_128090, _128088, _128086)), -(check_cpq(triple(_128090, insert_slb(_128088, pair(_128084, _128082)), _128086)))]]], (442 ^ _112742) ^ [_128668, _128670, _128672, _128674, _128676] : [strictly_less_than(_128670, _128668), 445 ^ _112742 : [(446 ^ _112742) ^ [] : [check_cpq(triple(_128676, insert_slb(_128674, pair(_128670, _128668)), _128672)), 449 ^ _112742 : [(450 ^ _112742) ^ [] : [-(false___)], (452 ^ _112742) ^ [] : [false___]]], (454 ^ _112742) ^ [] : [-(check_cpq(triple(_128676, insert_slb(_128674, pair(_128670, _128668)), _128672))), false___, -(false___)]]], (464 ^ _112742) ^ [_129415, _129417, _129419, _129421] : [contains_cpq(triple(_129421, _129419, _129417), _129415), -(contains_slb(_129419, _129415))], (470 ^ _112742) ^ [_129597, _129599, _129601, _129603] : [contains_slb(_129601, _129597), -(contains_cpq(triple(_129603, _129601, _129599), _129597))], (476 ^ _112742) ^ [_129858, _129860] : [ok(triple(_129860, _129858, bad)), 479 ^ _112742 : [(480 ^ _112742) ^ [] : [-(false___)], (482 ^ _112742) ^ [] : [false___]]], (484 ^ _112742) ^ [_130082, _130084] : [-(ok(triple(_130084, _130082, bad))), false___, -(false___)], (494 ^ _112742) ^ [_130389, _130391, _130393] : [-(ok(triple(_130393, _130391, _130389))), -(_130389 = bad)], (500 ^ _112742) ^ [_130627, _130629, _130631, _130633] : [-(insert_cpq(triple(_130633, _130631, _130629), _130627) = triple(insert_pqp(_130633, _130627), insert_slb(_130631, pair(_130627, bottom)), _130629))], (502 ^ _112742) ^ [_130788, _130790, _130792, _130794] : [-(contains_slb(_130792, _130788)), -(remove_cpq(triple(_130794, _130792, _130790), _130788) = triple(_130794, _130792, bad))], (508 ^ _112742) ^ [_131063, _131065, _131067, _131069] : [-(remove_cpq(triple(_131069, _131067, _131065), _131063) = triple(remove_pqp(_131069, _131063), remove_slb(_131067, _131063), _131065)), contains_slb(_131067, _131063), less_than(lookup_slb(_131067, _131063), _131063)], (518 ^ _112742) ^ [_131450, _131452, _131454, _131456] : [-(remove_cpq(triple(_131456, _131454, _131452), _131450) = triple(remove_pqp(_131456, _131450), remove_slb(_131454, _131450), bad)), contains_slb(_131454, _131450), strictly_less_than(_131450, lookup_slb(_131454, _131450))], (528 ^ _112742) ^ [_131794, _131796] : [-(findmin_cpq_eff(triple(_131796, create_slb, _131794)) = triple(_131796, create_slb, bad))], (530 ^ _112742) ^ [_131941, _131943, _131945, _131947] : [-(findmin_cpq_eff(triple(_131947, _131945, _131943)) = triple(_131947, update_slb(_131945, findmin_pqp_res(_131947)), bad)), -(_131945 = create_slb), -(contains_slb(_131945, findmin_pqp_res(_131947)))], (540 ^ _112742) ^ [_132328, _132330, _132332, _132334] : [-(findmin_cpq_eff(triple(_132334, _132332, _132330)) = triple(_132334, update_slb(_132332, findmin_pqp_res(_132334)), bad)), -(_132332 = create_slb), contains_slb(_132332, findmin_pqp_res(_132334)), strictly_less_than(findmin_pqp_res(_132334), lookup_slb(_132332, findmin_pqp_res(_132334)))], (568 ^ _112742) ^ [_133275, _133277] : [-(findmin_cpq_res(triple(_133277, create_slb, _133275)) = bottom)], (576 ^ _112742) ^ [_133630] : [-(removemin_cpq_eff(_133630) = remove_cpq(findmin_cpq_eff(_133630), findmin_cpq_res(_133630)))], (578 ^ _112742) ^ [_133697] : [-(removemin_cpq_res(_133697) = findmin_cpq_res(_133697))], (570 ^ _112742) ^ [_133418, _133420, _133422, _133424] : [-(_133422 = create_slb), -(findmin_cpq_res(triple(_133424, _133422, _133420)) = findmin_pqp_res(_133424))], (554 ^ _112742) ^ [_132823, _132825, _132827, _132829] : [-(findmin_cpq_eff(triple(_132829, _132827, _132825)) = triple(_132829, update_slb(_132827, findmin_pqp_res(_132829)), _132825)), -(_132827 = create_slb), contains_slb(_132827, findmin_pqp_res(_132829)), less_than(lookup_slb(_132827, findmin_pqp_res(_132829)), findmin_pqp_res(_132829))]], input).
% 0.32/1.37  ncf('1',plain,[check_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []))],start(589 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(check_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []))), 584 : check_cpq(insert_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []), 590 ^ []))],extension(580 ^ 1,bind([[_133858, _133860, _133862, _133994], [587 ^ [], 586 ^ [], 585 ^ [], 590 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(check_cpq(insert_cpq(triple(585 ^ [], 586 ^ [], 587 ^ []), 590 ^ [])))],extension(592 ^ 4)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------