%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV376+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:20:31 EDT 2023

% Result   : Theorem 0.26s 1.36s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11  % Command  : nanocop.sh %s %d
% 0.11/0.31  % Computer : n028.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Fri May 19 02:55:48 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.26/1.36  
% 0.26/1.36  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.26/1.36  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/1.36  %-----------------------------------------------------
% 0.26/1.36  ncf(matrix, plain, [(619 ^ _122098) ^ [] : [ok(triple(615 ^ [], 616 ^ [], 617 ^ []))], (624 ^ _122098) ^ [] : [-(succ_cpq(triple(615 ^ [], 616 ^ [], 617 ^ []), triple(620 ^ [], 621 ^ [], 622 ^ [])))], (626 ^ _122098) ^ [] : [-(ok(triple(620 ^ [], 621 ^ [], 622 ^ [])))], (2 ^ _122098) ^ [_122242] : [-(_122242 = _122242)], (4 ^ _122098) ^ [_122349, _122351] : [_122351 = _122349, -(_122349 = _122351)], (10 ^ _122098) ^ [_122553, _122555, _122557] : [-(_122557 = _122553), _122557 = _122555, _122555 = _122553], (20 ^ _122098) ^ [_122866, _122868] : [-(isnonempty_slb(_122866)), _122868 = _122866, isnonempty_slb(_122868)], (30 ^ _122098) ^ [_123217, _123219, _123221, _123223, _123225, _123227] : [-(pair_in_list(_123225, _123221, _123217)), pair_in_list(_123227, _123223, _123219), _123227 = _123225, _123223 = _123221, _123219 = _123217], (48 ^ _122098) ^ [_123770, _123772] : [-(check_cpq(_123770)), _123772 = _123770, check_cpq(_123772)], (58 ^ _122098) ^ [_124093, _124095, _124097, _124099] : [-(contains_cpq(_124097, _124093)), contains_cpq(_124099, _124095), _124099 = _124097, _124095 = _124093], (72 ^ _122098) ^ [_124537, _124539, _124541, _124543] : [-(strictly_less_than(_124541, _124537)), strictly_less_than(_124543, _124539), _124543 = _124541, _124539 = _124537], (86 ^ _122098) ^ [_124981, _124983, _124985, _124987] : [-(contains_slb(_124985, _124981)), contains_slb(_124987, _124983), _124987 = _124985, _124983 = _124981], (100 ^ _122098) ^ [_125425, _125427, _125429, _125431] : [-(less_than(_125429, _125425)), less_than(_125431, _125427), _125431 = _125429, _125427 = _125425], (128 ^ _122098) ^ [_126265, _126267] : [-(ok(_126265)), _126267 = _126265, ok(_126267)], (114 ^ _122098) ^ [_125869, _125871, _125873, _125875] : [-(succ_cpq(_125873, _125869)), succ_cpq(_125875, _125871), _125875 = _125873, _125871 = _125869], (138 ^ _122098) ^ [_126610, _126612, _126614, _126616] : [-(insert_cpq(_126616, _126612) = insert_cpq(_126614, _126610)), _126616 = _126614, _126612 = _126610], (148 ^ _122098) ^ [_126969, _126971, _126973, _126975] : [-(insert_pqp(_126975, _126971) = insert_pqp(_126973, _126969)), _126975 = _126973, _126971 = _126969], (158 ^ _122098) ^ [_127328, _127330, _127332, _127334] : [-(insert_slb(_127334, _127330) = insert_slb(_127332, _127328)), _127334 = _127332, _127330 = _127328], (168 ^ _122098) ^ [_127687, _127689, _127691, _127693] : [-(pair(_127693, _127689) = pair(_127691, _127687)), _127693 = _127691, _127689 = _127687], (178 ^ _122098) ^ [_128046, _128048, _128050, _128052] : [-(remove_pqp(_128052, _128048) = remove_pqp(_128050, _128046)), _128052 = _128050, _128048 = _128046], (188 ^ _122098) ^ [_128405, _128407, _128409, _128411] : [-(remove_slb(_128411, _128407) = remove_slb(_128409, _128405)), _128411 = _128409, _128407 = _128405], (198 ^ _122098) ^ [_128764, _128766, _128768, _128770] : [-(lookup_slb(_128770, _128766) = lookup_slb(_128768, _128764)), _128770 = _128768, _128766 = _128764], (208 ^ _122098) ^ [_129123, _129125, _129127, _129129] : [-(update_slb(_129129, _129125) = update_slb(_129127, _129123)), _129129 = _129127, _129125 = _129123], (218 ^ _122098) ^ [_129454, _129456] : [_129456 = _129454, -(findmin_pqp_res(_129456) = findmin_pqp_res(_129454))], (224 ^ _122098) ^ [_129672, _129674] : [_129674 = _129672, -(removemin_cpq_eff(_129674) = removemin_cpq_eff(_129672))], (230 ^ _122098) ^ [_129918, _129920, _129922, _129924] : [-(remove_cpq(_129924, _129920) = remove_cpq(_129922, _129918)), _129924 = _129922, _129920 = _129918], (240 ^ _122098) ^ [_130249, _130251] : [_130251 = _130249, -(findmin_cpq_eff(_130251) = findmin_cpq_eff(_130249))], (246 ^ _122098) ^ [_130467, _130469] : [_130469 = _130467, -(removemin_cpq_res(_130469) = removemin_cpq_res(_130467))], (252 ^ _122098) ^ [_130685, _130687] : [_130687 = _130685, -(findmin_cpq_res(_130687) = findmin_cpq_res(_130685))], (258 ^ _122098) ^ [_130903, _130905] : [_130905 = _130903, -(im_succ_cpq(_130905) = im_succ_cpq(_130903))], (264 ^ _122098) ^ [_131157, _131159, _131161, _131163, _131165, _131167] : [-(triple(_131167, _131163, _131159) = triple(_131165, _131161, _131157)), _131167 = _131165, _131163 = _131161, _131159 = _131157], (278 ^ _122098) ^ [_131737, _131739, _131741] : [-(less_than(_131741, _131737)), less_than(_131741, _131739), less_than(_131739, _131737)], (288 ^ _122098) ^ [_132046, _132048] : [-(less_than(_132048, _132046)), -(less_than(_132046, _132048))], (294 ^ _122098) ^ [_132228] : [-(less_than(_132228, _132228))], (314 ^ _122098) ^ [_132857] : [-(less_than(bottom, _132857))], (296 ^ _122098) ^ [_132364, _132366] : [strictly_less_than(_132366, _132364), 299 ^ _122098 : [(300 ^ _122098) ^ [] : [-(less_than(_132366, _132364))], (302 ^ _122098) ^ [] : [less_than(_132364, _132366)]]], (304 ^ _122098) ^ [_132602, _132604] : [-(strictly_less_than(_132604, _132602)), less_than(_132604, _132602), -(less_than(_132602, _132604))], (316 ^ _122098) ^ [] : [isnonempty_slb(create_slb)], (318 ^ _122098) ^ [_133043, _133045, _133047] : [-(isnonempty_slb(insert_slb(_133047, pair(_133045, _133043))))], (320 ^ _122098) ^ [_133129] : [contains_slb(create_slb, _133129)], (332 ^ _122098) ^ [_133577, _133579, _133581, _133583] : [333 ^ _122098 : [(334 ^ _122098) ^ [] : [contains_slb(_133583, _133579)], (336 ^ _122098) ^ [] : [_133581 = _133579]], -(contains_slb(insert_slb(_133583, pair(_133581, _133577)), _133579))], (322 ^ _122098) ^ [_133293, _133295, _133297, _133299] : [contains_slb(insert_slb(_133299, pair(_133297, _133293)), _133295), -(contains_slb(_133299, _133295)), -(_133297 = _133295)], (340 ^ _122098) ^ [_133875, _133877] : [pair_in_list(create_slb, _133877, _133875)], (342 ^ _122098) ^ [_134056, _134058, _134060, _134062, _134064] : [pair_in_list(insert_slb(_134064, pair(_134062, _134058)), _134060, _134056), -(pair_in_list(_134064, _134060, _134056)), 349 ^ _122098 : [(350 ^ _122098) ^ [] : [-(_134062 = _134060)], (352 ^ _122098) ^ [] : [-(_134058 = _134056)]]], (354 ^ _122098) ^ [_134435, _134437, _134439, _134441, _134443] : [-(pair_in_list(insert_slb(_134443, pair(_134441, _134437)), _134439, _134435)), 355 ^ _122098 : [(356 ^ _122098) ^ [] : [pair_in_list(_134443, _134439, _134435)], (358 ^ _122098) ^ [] : [_134441 = _134439, _134437 = _134435]]], (366 ^ _122098) ^ [_134861, _134863, _134865] : [-(remove_slb(insert_slb(_134865, pair(_134863, _134861)), _134863) = _134865)], (368 ^ _122098) ^ [_135009, _135011, _135013, _135015] : [-(remove_slb(insert_slb(_135015, pair(_135013, _135009)), _135011) = insert_slb(remove_slb(_135015, _135011), pair(_135013, _135009))), -(_135013 = _135011), contains_slb(_135015, _135011)], (378 ^ _122098) ^ [_135366, _135368, _135370] : [-(lookup_slb(insert_slb(_135370, pair(_135368, _135366)), _135368) = _135366)], (380 ^ _122098) ^ [_135514, _135516, _135518, _135520] : [-(lookup_slb(insert_slb(_135520, pair(_135518, _135514)), _135516) = lookup_slb(_135520, _135516)), -(_135518 = _135516), contains_slb(_135520, _135516)], (390 ^ _122098) ^ [_135831] : [-(update_slb(create_slb, _135831) = create_slb)], (392 ^ _122098) ^ [_135969, _135971, _135973, _135975] : [strictly_less_than(_135969, _135971), -(update_slb(insert_slb(_135975, pair(_135973, _135969)), _135971) = insert_slb(update_slb(_135975, _135971), pair(_135973, _135971)))], (398 ^ _122098) ^ [_136235, _136237, _136239, _136241] : [less_than(_136237, _136235), -(update_slb(insert_slb(_136241, pair(_136239, _136235)), _136237) = insert_slb(update_slb(_136241, _136237), pair(_136239, _136235)))], (610 ^ _122098) ^ [_144572, _144574, _144576] : [-(ok(triple(_144576, _144574, _144572))), ok(im_succ_cpq(triple(_144576, _144574, _144572)))], (586 ^ _122098) ^ [] : [593 ^ _122098 : [(594 ^ _122098) ^ [] : [-(succ_cpq(triple(587 ^ [], 588 ^ [], 589 ^ []), triple(590 ^ [], 591 ^ [], 592 ^ [])))], (596 ^ _122098) ^ [] : [ok(triple(590 ^ [], 591 ^ [], 592 ^ []))], (598 ^ _122098) ^ [] : [-(ok(im_succ_cpq(triple(590 ^ [], 591 ^ [], 592 ^ []))))]], 599 ^ _122098 : [(600 ^ _122098) ^ [_144103, _144105, _144107] : [-(ok(triple(_144107, _144105, _144103))), 603 ^ _122098 : [(604 ^ _122098) ^ [_144304, _144306, _144308] : [succ_cpq(triple(_144107, _144105, _144103), triple(_144308, _144306, _144304)), ok(triple(_144308, _144306, _144304))]]]]], (404 ^ _122098) ^ [_136512] : [-(succ_cpq(_136512, _136512))], (406 ^ _122098) ^ [_136633, _136635, _136637] : [succ_cpq(_136637, _136635), -(succ_cpq(_136637, insert_cpq(_136635, _136633)))], (412 ^ _122098) ^ [_136869, _136871, _136873] : [succ_cpq(_136873, _136871), -(succ_cpq(_136873, remove_cpq(_136871, _136869)))], (418 ^ _122098) ^ [_137091, _137093] : [succ_cpq(_137093, _137091), -(succ_cpq(_137093, findmin_cpq_eff(_137091)))], (424 ^ _122098) ^ [_137305, _137307] : [succ_cpq(_137307, _137305), -(succ_cpq(_137307, removemin_cpq_eff(_137305)))], (430 ^ _122098) ^ [_137504, _137506] : [-(check_cpq(triple(_137506, create_slb, _137504)))], (432 ^ _122098) ^ [_137658, _137660, _137662, _137664, _137666] : [less_than(_137658, _137660), 435 ^ _122098 : [(436 ^ _122098) ^ [] : [check_cpq(triple(_137666, insert_slb(_137664, pair(_137660, _137658)), _137662)), -(check_cpq(triple(_137666, _137664, _137662)))], (442 ^ _122098) ^ [] : [check_cpq(triple(_137666, _137664, _137662)), -(check_cpq(triple(_137666, insert_slb(_137664, pair(_137660, _137658)), _137662)))]]], (448 ^ _122098) ^ [_138244, _138246, _138248, _138250, _138252] : [strictly_less_than(_138246, _138244), 451 ^ _122098 : [(452 ^ _122098) ^ [] : [check_cpq(triple(_138252, insert_slb(_138250, pair(_138246, _138244)), _138248)), 455 ^ _122098 : [(456 ^ _122098) ^ [] : [-(false___)], (458 ^ _122098) ^ [] : [false___]]], (460 ^ _122098) ^ [] : [-(check_cpq(triple(_138252, insert_slb(_138250, pair(_138246, _138244)), _138248))), false___, -(false___)]]], (470 ^ _122098) ^ [_138991, _138993, _138995, _138997] : [contains_cpq(triple(_138997, _138995, _138993), _138991), -(contains_slb(_138995, _138991))], (476 ^ _122098) ^ [_139173, _139175, _139177, _139179] : [contains_slb(_139177, _139173), -(contains_cpq(triple(_139179, _139177, _139175), _139173))], (482 ^ _122098) ^ [_139434, _139436] : [ok(triple(_139436, _139434, bad)), 485 ^ _122098 : [(486 ^ _122098) ^ [] : [-(false___)], (488 ^ _122098) ^ [] : [false___]]], (490 ^ _122098) ^ [_139658, _139660] : [-(ok(triple(_139660, _139658, bad))), false___, -(false___)], (500 ^ _122098) ^ [_139965, _139967, _139969] : [-(ok(triple(_139969, _139967, _139965))), -(_139965 = bad)], (506 ^ _122098) ^ [_140203, _140205, _140207, _140209] : [-(insert_cpq(triple(_140209, _140207, _140205), _140203) = triple(insert_pqp(_140209, _140203), insert_slb(_140207, pair(_140203, bottom)), _140205))], (508 ^ _122098) ^ [_140364, _140366, _140368, _140370] : [-(contains_slb(_140368, _140364)), -(remove_cpq(triple(_140370, _140368, _140366), _140364) = triple(_140370, _140368, bad))], (514 ^ _122098) ^ [_140639, _140641, _140643, _140645] : [-(remove_cpq(triple(_140645, _140643, _140641), _140639) = triple(remove_pqp(_140645, _140639), remove_slb(_140643, _140639), _140641)), contains_slb(_140643, _140639), less_than(lookup_slb(_140643, _140639), _140639)], (524 ^ _122098) ^ [_141026, _141028, _141030, _141032] : [-(remove_cpq(triple(_141032, _141030, _141028), _141026) = triple(remove_pqp(_141032, _141026), remove_slb(_141030, _141026), bad)), contains_slb(_141030, _141026), strictly_less_than(_141026, lookup_slb(_141030, _141026))], (534 ^ _122098) ^ [_141370, _141372] : [-(findmin_cpq_eff(triple(_141372, create_slb, _141370)) = triple(_141372, create_slb, bad))], (536 ^ _122098) ^ [_141517, _141519, _141521, _141523] : [-(findmin_cpq_eff(triple(_141523, _141521, _141519)) = triple(_141523, update_slb(_141521, findmin_pqp_res(_141523)), bad)), -(_141521 = create_slb), -(contains_slb(_141521, findmin_pqp_res(_141523)))], (546 ^ _122098) ^ [_141904, _141906, _141908, _141910] : [-(findmin_cpq_eff(triple(_141910, _141908, _141906)) = triple(_141910, update_slb(_141908, findmin_pqp_res(_141910)), bad)), -(_141908 = create_slb), contains_slb(_141908, findmin_pqp_res(_141910)), strictly_less_than(findmin_pqp_res(_141910), lookup_slb(_141908, findmin_pqp_res(_141910)))], (574 ^ _122098) ^ [_142851, _142853] : [-(findmin_cpq_res(triple(_142853, create_slb, _142851)) = bottom)], (582 ^ _122098) ^ [_143206] : [-(removemin_cpq_eff(_143206) = remove_cpq(findmin_cpq_eff(_143206), findmin_cpq_res(_143206)))], (584 ^ _122098) ^ [_143273] : [-(removemin_cpq_res(_143273) = findmin_cpq_res(_143273))], (576 ^ _122098) ^ [_142994, _142996, _142998, _143000] : [-(_142998 = create_slb), -(findmin_cpq_res(triple(_143000, _142998, _142996)) = findmin_pqp_res(_143000))], (560 ^ _122098) ^ [_142399, _142401, _142403, _142405] : [-(findmin_cpq_eff(triple(_142405, _142403, _142401)) = triple(_142405, update_slb(_142403, findmin_pqp_res(_142405)), _142401)), -(_142403 = create_slb), contains_slb(_142403, findmin_pqp_res(_142405)), less_than(lookup_slb(_142403, findmin_pqp_res(_142405)), findmin_pqp_res(_142405))]], input).
% 0.26/1.36  ncf('1',plain,[ok(triple(615 ^ [], 616 ^ [], 617 ^ []))],start(619 ^ 0)).
% 0.26/1.36  ncf('1.1',plain,[-(ok(triple(615 ^ [], 616 ^ [], 617 ^ []))), 604 : succ_cpq(triple(615 ^ [], 616 ^ [], 617 ^ []), triple(620 ^ [], 621 ^ [], 622 ^ [])), 604 : ok(triple(620 ^ [], 621 ^ [], 622 ^ [])), 596 : ok(triple(590 ^ [], 591 ^ [], 592 ^ []))],extension(586 ^ 1,bind([[_144103, _144105, _144107, _144304, _144306, _144308], [617 ^ [], 616 ^ [], 615 ^ [], 622 ^ [], 621 ^ [], 620 ^ []]]))).
% 0.26/1.36  ncf('1.1.1',plain,[-(succ_cpq(triple(615 ^ [], 616 ^ [], 617 ^ []), triple(620 ^ [], 621 ^ [], 622 ^ [])))],extension(624 ^ 6)).
% 0.26/1.36  ncf('1.1.2',plain,[-(ok(triple(620 ^ [], 621 ^ [], 622 ^ [])))],extension(626 ^ 6)).
% 0.26/1.36  ncf('1.1.3',plain,[-(ok(triple(590 ^ [], 591 ^ [], 592 ^ []))), ok(im_succ_cpq(triple(590 ^ [], 591 ^ [], 592 ^ [])))],extension(610 ^ 4,bind([[_144572, _144574, _144576], [592 ^ [], 591 ^ [], 590 ^ []]]))).
% 0.26/1.36  ncf('1.1.3.1',plain,[-(ok(im_succ_cpq(triple(590 ^ [], 591 ^ [], 592 ^ []))))],extension(598 ^ 5)).
% 0.26/1.36  %-----------------------------------------------------
% 0.26/1.36  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------