%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV385+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV385+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 02:14:17 EDT 2023
% 0.13/0.35  % 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, [(611 ^ _116306) ^ [] : [-(check_cpq(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))))], (613 ^ _116306) ^ [] : [-(ok(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))))], (605 ^ _116306) ^ [] : [check_cpq(triple(601 ^ [], 602 ^ [], 603 ^ [])), ok(triple(601 ^ [], 602 ^ [], 603 ^ []))], (2 ^ _116306) ^ [_116450] : [-(_116450 = _116450)], (4 ^ _116306) ^ [_116557, _116559] : [_116559 = _116557, -(_116557 = _116559)], (10 ^ _116306) ^ [_116761, _116763, _116765] : [-(_116765 = _116761), _116765 = _116763, _116763 = _116761], (20 ^ _116306) ^ [_117074, _117076] : [-(isnonempty_slb(_117074)), _117076 = _117074, isnonempty_slb(_117076)], (30 ^ _116306) ^ [_117425, _117427, _117429, _117431, _117433, _117435] : [-(pair_in_list(_117433, _117429, _117425)), pair_in_list(_117435, _117431, _117427), _117435 = _117433, _117431 = _117429, _117427 = _117425], (48 ^ _116306) ^ [_118006, _118008, _118010, _118012] : [-(succ_cpq(_118010, _118006)), succ_cpq(_118012, _118008), _118012 = _118010, _118008 = _118006], (62 ^ _116306) ^ [_118450, _118452, _118454, _118456] : [-(contains_cpq(_118454, _118450)), contains_cpq(_118456, _118452), _118456 = _118454, _118452 = _118450], (76 ^ _116306) ^ [_118894, _118896, _118898, _118900] : [-(strictly_less_than(_118898, _118894)), strictly_less_than(_118900, _118896), _118900 = _118898, _118896 = _118894], (90 ^ _116306) ^ [_119338, _119340, _119342, _119344] : [-(contains_slb(_119342, _119338)), contains_slb(_119344, _119340), _119344 = _119342, _119340 = _119338], (104 ^ _116306) ^ [_119782, _119784, _119786, _119788] : [-(less_than(_119786, _119782)), less_than(_119788, _119784), _119788 = _119786, _119784 = _119782], (118 ^ _116306) ^ [_120198, _120200] : [-(check_cpq(_120198)), _120200 = _120198, check_cpq(_120200)], (128 ^ _116306) ^ [_120473, _120475] : [-(ok(_120473)), _120475 = _120473, ok(_120475)], (138 ^ _116306) ^ [_120818, _120820, _120822, _120824] : [-(insert_cpq(_120824, _120820) = insert_cpq(_120822, _120818)), _120824 = _120822, _120820 = _120818], (148 ^ _116306) ^ [_121177, _121179, _121181, _121183] : [-(insert_pqp(_121183, _121179) = insert_pqp(_121181, _121177)), _121183 = _121181, _121179 = _121177], (158 ^ _116306) ^ [_121536, _121538, _121540, _121542] : [-(insert_slb(_121542, _121538) = insert_slb(_121540, _121536)), _121542 = _121540, _121538 = _121536], (168 ^ _116306) ^ [_121895, _121897, _121899, _121901] : [-(pair(_121901, _121897) = pair(_121899, _121895)), _121901 = _121899, _121897 = _121895], (178 ^ _116306) ^ [_122254, _122256, _122258, _122260] : [-(remove_pqp(_122260, _122256) = remove_pqp(_122258, _122254)), _122260 = _122258, _122256 = _122254], (188 ^ _116306) ^ [_122613, _122615, _122617, _122619] : [-(remove_slb(_122619, _122615) = remove_slb(_122617, _122613)), _122619 = _122617, _122615 = _122613], (198 ^ _116306) ^ [_122972, _122974, _122976, _122978] : [-(lookup_slb(_122978, _122974) = lookup_slb(_122976, _122972)), _122978 = _122976, _122974 = _122972], (208 ^ _116306) ^ [_123331, _123333, _123335, _123337] : [-(update_slb(_123337, _123333) = update_slb(_123335, _123331)), _123337 = _123335, _123333 = _123331], (218 ^ _116306) ^ [_123662, _123664] : [_123664 = _123662, -(findmin_pqp_res(_123664) = findmin_pqp_res(_123662))], (224 ^ _116306) ^ [_123880, _123882] : [_123882 = _123880, -(removemin_cpq_eff(_123882) = removemin_cpq_eff(_123880))], (230 ^ _116306) ^ [_124126, _124128, _124130, _124132] : [-(remove_cpq(_124132, _124128) = remove_cpq(_124130, _124126)), _124132 = _124130, _124128 = _124126], (240 ^ _116306) ^ [_124457, _124459] : [_124459 = _124457, -(findmin_cpq_eff(_124459) = findmin_cpq_eff(_124457))], (246 ^ _116306) ^ [_124675, _124677] : [_124677 = _124675, -(removemin_cpq_res(_124677) = removemin_cpq_res(_124675))], (252 ^ _116306) ^ [_124893, _124895] : [_124895 = _124893, -(findmin_cpq_res(_124895) = findmin_cpq_res(_124893))], (258 ^ _116306) ^ [_125111, _125113] : [_125113 = _125111, -(im_succ_cpq(_125113) = im_succ_cpq(_125111))], (264 ^ _116306) ^ [_125365, _125367, _125369, _125371, _125373, _125375] : [-(triple(_125375, _125371, _125367) = triple(_125373, _125369, _125365)), _125375 = _125373, _125371 = _125369, _125367 = _125365], (278 ^ _116306) ^ [_125945, _125947, _125949] : [-(less_than(_125949, _125945)), less_than(_125949, _125947), less_than(_125947, _125945)], (288 ^ _116306) ^ [_126254, _126256] : [-(less_than(_126256, _126254)), -(less_than(_126254, _126256))], (294 ^ _116306) ^ [_126436] : [-(less_than(_126436, _126436))], (314 ^ _116306) ^ [_127065] : [-(less_than(bottom, _127065))], (296 ^ _116306) ^ [_126572, _126574] : [strictly_less_than(_126574, _126572), 299 ^ _116306 : [(300 ^ _116306) ^ [] : [-(less_than(_126574, _126572))], (302 ^ _116306) ^ [] : [less_than(_126572, _126574)]]], (304 ^ _116306) ^ [_126810, _126812] : [-(strictly_less_than(_126812, _126810)), less_than(_126812, _126810), -(less_than(_126810, _126812))], (316 ^ _116306) ^ [] : [isnonempty_slb(create_slb)], (318 ^ _116306) ^ [_127251, _127253, _127255] : [-(isnonempty_slb(insert_slb(_127255, pair(_127253, _127251))))], (320 ^ _116306) ^ [_127337] : [contains_slb(create_slb, _127337)], (332 ^ _116306) ^ [_127785, _127787, _127789, _127791] : [333 ^ _116306 : [(334 ^ _116306) ^ [] : [contains_slb(_127791, _127787)], (336 ^ _116306) ^ [] : [_127789 = _127787]], -(contains_slb(insert_slb(_127791, pair(_127789, _127785)), _127787))], (322 ^ _116306) ^ [_127501, _127503, _127505, _127507] : [contains_slb(insert_slb(_127507, pair(_127505, _127501)), _127503), -(contains_slb(_127507, _127503)), -(_127505 = _127503)], (340 ^ _116306) ^ [_128083, _128085] : [pair_in_list(create_slb, _128085, _128083)], (342 ^ _116306) ^ [_128264, _128266, _128268, _128270, _128272] : [pair_in_list(insert_slb(_128272, pair(_128270, _128266)), _128268, _128264), -(pair_in_list(_128272, _128268, _128264)), 349 ^ _116306 : [(350 ^ _116306) ^ [] : [-(_128270 = _128268)], (352 ^ _116306) ^ [] : [-(_128266 = _128264)]]], (354 ^ _116306) ^ [_128643, _128645, _128647, _128649, _128651] : [-(pair_in_list(insert_slb(_128651, pair(_128649, _128645)), _128647, _128643)), 355 ^ _116306 : [(356 ^ _116306) ^ [] : [pair_in_list(_128651, _128647, _128643)], (358 ^ _116306) ^ [] : [_128649 = _128647, _128645 = _128643]]], (366 ^ _116306) ^ [_129069, _129071, _129073] : [-(remove_slb(insert_slb(_129073, pair(_129071, _129069)), _129071) = _129073)], (368 ^ _116306) ^ [_129217, _129219, _129221, _129223] : [-(remove_slb(insert_slb(_129223, pair(_129221, _129217)), _129219) = insert_slb(remove_slb(_129223, _129219), pair(_129221, _129217))), -(_129221 = _129219), contains_slb(_129223, _129219)], (378 ^ _116306) ^ [_129574, _129576, _129578] : [-(lookup_slb(insert_slb(_129578, pair(_129576, _129574)), _129576) = _129574)], (380 ^ _116306) ^ [_129722, _129724, _129726, _129728] : [-(lookup_slb(insert_slb(_129728, pair(_129726, _129722)), _129724) = lookup_slb(_129728, _129724)), -(_129726 = _129724), contains_slb(_129728, _129724)], (390 ^ _116306) ^ [_130039] : [-(update_slb(create_slb, _130039) = create_slb)], (392 ^ _116306) ^ [_130177, _130179, _130181, _130183] : [strictly_less_than(_130177, _130179), -(update_slb(insert_slb(_130183, pair(_130181, _130177)), _130179) = insert_slb(update_slb(_130183, _130179), pair(_130181, _130179)))], (398 ^ _116306) ^ [_130443, _130445, _130447, _130449] : [less_than(_130445, _130443), -(update_slb(insert_slb(_130449, pair(_130447, _130443)), _130445) = insert_slb(update_slb(_130449, _130445), pair(_130447, _130443)))], (586 ^ _116306) ^ [_137662, _137664, _137666] : [-(ok(triple(_137666, _137664, _137662))), ok(im_succ_cpq(triple(_137666, _137664, _137662)))], (592 ^ _116306) ^ [_137892, _137894, _137896] : [-(check_cpq(triple(_137896, _137894, _137892))), check_cpq(im_succ_cpq(triple(_137896, _137894, _137892))), ok(im_succ_cpq(triple(_137896, _137894, _137892)))], (404 ^ _116306) ^ [_130720] : [-(succ_cpq(_130720, _130720))], (406 ^ _116306) ^ [_130841, _130843, _130845] : [succ_cpq(_130845, _130843), -(succ_cpq(_130845, insert_cpq(_130843, _130841)))], (412 ^ _116306) ^ [_131077, _131079, _131081] : [succ_cpq(_131081, _131079), -(succ_cpq(_131081, remove_cpq(_131079, _131077)))], (418 ^ _116306) ^ [_131299, _131301] : [succ_cpq(_131301, _131299), -(succ_cpq(_131301, findmin_cpq_eff(_131299)))], (424 ^ _116306) ^ [_131513, _131515] : [succ_cpq(_131515, _131513), -(succ_cpq(_131515, removemin_cpq_eff(_131513)))], (430 ^ _116306) ^ [_131712, _131714] : [-(check_cpq(triple(_131714, create_slb, _131712)))], (432 ^ _116306) ^ [_131866, _131868, _131870, _131872, _131874] : [less_than(_131866, _131868), 435 ^ _116306 : [(436 ^ _116306) ^ [] : [check_cpq(triple(_131874, insert_slb(_131872, pair(_131868, _131866)), _131870)), -(check_cpq(triple(_131874, _131872, _131870)))], (442 ^ _116306) ^ [] : [check_cpq(triple(_131874, _131872, _131870)), -(check_cpq(triple(_131874, insert_slb(_131872, pair(_131868, _131866)), _131870)))]]], (448 ^ _116306) ^ [_132452, _132454, _132456, _132458, _132460] : [strictly_less_than(_132454, _132452), 451 ^ _116306 : [(452 ^ _116306) ^ [] : [check_cpq(triple(_132460, insert_slb(_132458, pair(_132454, _132452)), _132456)), 455 ^ _116306 : [(456 ^ _116306) ^ [] : [-(false___)], (458 ^ _116306) ^ [] : [false___]]], (460 ^ _116306) ^ [] : [-(check_cpq(triple(_132460, insert_slb(_132458, pair(_132454, _132452)), _132456))), false___, -(false___)]]], (470 ^ _116306) ^ [_133199, _133201, _133203, _133205] : [contains_cpq(triple(_133205, _133203, _133201), _133199), -(contains_slb(_133203, _133199))], (476 ^ _116306) ^ [_133381, _133383, _133385, _133387] : [contains_slb(_133385, _133381), -(contains_cpq(triple(_133387, _133385, _133383), _133381))], (482 ^ _116306) ^ [_133642, _133644] : [ok(triple(_133644, _133642, bad)), 485 ^ _116306 : [(486 ^ _116306) ^ [] : [-(false___)], (488 ^ _116306) ^ [] : [false___]]], (490 ^ _116306) ^ [_133866, _133868] : [-(ok(triple(_133868, _133866, bad))), false___, -(false___)], (500 ^ _116306) ^ [_134173, _134175, _134177] : [-(ok(triple(_134177, _134175, _134173))), -(_134173 = bad)], (506 ^ _116306) ^ [_134411, _134413, _134415, _134417] : [-(insert_cpq(triple(_134417, _134415, _134413), _134411) = triple(insert_pqp(_134417, _134411), insert_slb(_134415, pair(_134411, bottom)), _134413))], (508 ^ _116306) ^ [_134572, _134574, _134576, _134578] : [-(contains_slb(_134576, _134572)), -(remove_cpq(triple(_134578, _134576, _134574), _134572) = triple(_134578, _134576, bad))], (514 ^ _116306) ^ [_134847, _134849, _134851, _134853] : [-(remove_cpq(triple(_134853, _134851, _134849), _134847) = triple(remove_pqp(_134853, _134847), remove_slb(_134851, _134847), _134849)), contains_slb(_134851, _134847), less_than(lookup_slb(_134851, _134847), _134847)], (524 ^ _116306) ^ [_135234, _135236, _135238, _135240] : [-(remove_cpq(triple(_135240, _135238, _135236), _135234) = triple(remove_pqp(_135240, _135234), remove_slb(_135238, _135234), bad)), contains_slb(_135238, _135234), strictly_less_than(_135234, lookup_slb(_135238, _135234))], (534 ^ _116306) ^ [_135578, _135580] : [-(findmin_cpq_eff(triple(_135580, create_slb, _135578)) = triple(_135580, create_slb, bad))], (536 ^ _116306) ^ [_135725, _135727, _135729, _135731] : [-(findmin_cpq_eff(triple(_135731, _135729, _135727)) = triple(_135731, update_slb(_135729, findmin_pqp_res(_135731)), bad)), -(_135729 = create_slb), -(contains_slb(_135729, findmin_pqp_res(_135731)))], (546 ^ _116306) ^ [_136112, _136114, _136116, _136118] : [-(findmin_cpq_eff(triple(_136118, _136116, _136114)) = triple(_136118, update_slb(_136116, findmin_pqp_res(_136118)), bad)), -(_136116 = create_slb), contains_slb(_136116, findmin_pqp_res(_136118)), strictly_less_than(findmin_pqp_res(_136118), lookup_slb(_136116, findmin_pqp_res(_136118)))], (574 ^ _116306) ^ [_137059, _137061] : [-(findmin_cpq_res(triple(_137061, create_slb, _137059)) = bottom)], (582 ^ _116306) ^ [_137414] : [-(removemin_cpq_eff(_137414) = remove_cpq(findmin_cpq_eff(_137414), findmin_cpq_res(_137414)))], (584 ^ _116306) ^ [_137481] : [-(removemin_cpq_res(_137481) = findmin_cpq_res(_137481))], (576 ^ _116306) ^ [_137202, _137204, _137206, _137208] : [-(_137206 = create_slb), -(findmin_cpq_res(triple(_137208, _137206, _137204)) = findmin_pqp_res(_137208))], (560 ^ _116306) ^ [_136607, _136609, _136611, _136613] : [-(findmin_cpq_eff(triple(_136613, _136611, _136609)) = triple(_136613, update_slb(_136611, findmin_pqp_res(_136613)), _136609)), -(_136611 = create_slb), contains_slb(_136611, findmin_pqp_res(_136613)), less_than(lookup_slb(_136611, findmin_pqp_res(_136613)), findmin_pqp_res(_136613))]], input).
% 0.33/1.39  ncf('1',plain,[check_cpq(triple(601 ^ [], 602 ^ [], 603 ^ [])), ok(triple(601 ^ [], 602 ^ [], 603 ^ []))],start(605 ^ 0)).
% 0.33/1.39  ncf('1.1',plain,[-(check_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))), check_cpq(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))), ok(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ [])))],extension(592 ^ 1,bind([[_137892, _137894, _137896], [603 ^ [], 602 ^ [], 601 ^ []]]))).
% 0.33/1.39  ncf('1.1.1',plain,[-(check_cpq(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))))],extension(611 ^ 2)).
% 0.33/1.39  ncf('1.1.2',plain,[-(ok(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))))],extension(613 ^ 2)).
% 0.33/1.39  ncf('1.2',plain,[-(ok(triple(601 ^ [], 602 ^ [], 603 ^ []))), ok(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ [])))],extension(586 ^ 1,bind([[_137662, _137664, _137666], [603 ^ [], 602 ^ [], 601 ^ []]]))).
% 0.33/1.39  ncf('1.2.1',plain,[-(ok(im_succ_cpq(triple(601 ^ [], 602 ^ [], 603 ^ []))))],extension(613 ^ 2)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------