%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 0.30s 1.37s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n005.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 02:12:08 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.30/1.37
% 0.30/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.30/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/1.37 %-----------------------------------------------------
% 0.30/1.37 ncf(matrix, plain, [(584 ^ _110231) ^ [] : [-(pair_in_list(create_slb, 581 ^ [], 582 ^ []))], (586 ^ _110231) ^ [] : [-(strictly_less_than(581 ^ [], 582 ^ []))], (588 ^ _110231) ^ [] : [-(ok(remove_cpq(triple(579 ^ [], create_slb, 580 ^ []), 581 ^ [])))], (590 ^ _110231) ^ [] : [pair_in_list(remove_slb(create_slb, 581 ^ []), 581 ^ [], 582 ^ [])], (2 ^ _110231) ^ [_110375] : [-(_110375 = _110375)], (4 ^ _110231) ^ [_110482, _110484] : [_110484 = _110482, -(_110482 = _110484)], (10 ^ _110231) ^ [_110686, _110688, _110690] : [-(_110690 = _110686), _110690 = _110688, _110688 = _110686], (20 ^ _110231) ^ [_110999, _111001] : [-(isnonempty_slb(_110999)), _111001 = _110999, isnonempty_slb(_111001)], (30 ^ _110231) ^ [_111322, _111324, _111326, _111328] : [-(succ_cpq(_111326, _111322)), succ_cpq(_111328, _111324), _111328 = _111326, _111324 = _111322], (44 ^ _110231) ^ [_111738, _111740] : [-(check_cpq(_111738)), _111740 = _111738, check_cpq(_111740)], (54 ^ _110231) ^ [_112061, _112063, _112065, _112067] : [-(contains_cpq(_112065, _112061)), contains_cpq(_112067, _112063), _112067 = _112065, _112063 = _112061], (68 ^ _110231) ^ [_112505, _112507, _112509, _112511] : [-(contains_slb(_112509, _112505)), contains_slb(_112511, _112507), _112511 = _112509, _112507 = _112505], (82 ^ _110231) ^ [_112949, _112951, _112953, _112955] : [-(less_than(_112953, _112949)), less_than(_112955, _112951), _112955 = _112953, _112951 = _112949], (96 ^ _110231) ^ [_113393, _113395, _113397, _113399] : [-(strictly_less_than(_113397, _113393)), strictly_less_than(_113399, _113395), _113399 = _113397, _113395 = _113393], (110 ^ _110231) ^ [_113809, _113811] : [-(ok(_113809)), _113811 = _113809, ok(_113811)], (120 ^ _110231) ^ [_114140, _114142, _114144, _114146, _114148, _114150] : [-(pair_in_list(_114148, _114144, _114140)), pair_in_list(_114150, _114146, _114142), _114150 = _114148, _114146 = _114144, _114142 = _114140], (138 ^ _110231) ^ [_114743, _114745, _114747, _114749] : [-(insert_cpq(_114749, _114745) = insert_cpq(_114747, _114743)), _114749 = _114747, _114745 = _114743], (148 ^ _110231) ^ [_115102, _115104, _115106, _115108] : [-(insert_pqp(_115108, _115104) = insert_pqp(_115106, _115102)), _115108 = _115106, _115104 = _115102], (158 ^ _110231) ^ [_115461, _115463, _115465, _115467] : [-(insert_slb(_115467, _115463) = insert_slb(_115465, _115461)), _115467 = _115465, _115463 = _115461], (168 ^ _110231) ^ [_115820, _115822, _115824, _115826] : [-(pair(_115826, _115822) = pair(_115824, _115820)), _115826 = _115824, _115822 = _115820], (178 ^ _110231) ^ [_116179, _116181, _116183, _116185] : [-(remove_pqp(_116185, _116181) = remove_pqp(_116183, _116179)), _116185 = _116183, _116181 = _116179], (188 ^ _110231) ^ [_116538, _116540, _116542, _116544] : [-(lookup_slb(_116544, _116540) = lookup_slb(_116542, _116538)), _116544 = _116542, _116540 = _116538], (198 ^ _110231) ^ [_116897, _116899, _116901, _116903] : [-(update_slb(_116903, _116899) = update_slb(_116901, _116897)), _116903 = _116901, _116899 = _116897], (208 ^ _110231) ^ [_117228, _117230] : [_117230 = _117228, -(findmin_pqp_res(_117230) = findmin_pqp_res(_117228))], (214 ^ _110231) ^ [_117446, _117448] : [_117448 = _117446, -(removemin_cpq_eff(_117448) = removemin_cpq_eff(_117446))], (220 ^ _110231) ^ [_117664, _117666] : [_117666 = _117664, -(findmin_cpq_eff(_117666) = findmin_cpq_eff(_117664))], (226 ^ _110231) ^ [_117882, _117884] : [_117884 = _117882, -(removemin_cpq_res(_117884) = removemin_cpq_res(_117882))], (232 ^ _110231) ^ [_118100, _118102] : [_118102 = _118100, -(findmin_cpq_res(_118102) = findmin_cpq_res(_118100))], (238 ^ _110231) ^ [_118346, _118348, _118350, _118352] : [-(remove_cpq(_118352, _118348) = remove_cpq(_118350, _118346)), _118352 = _118350, _118348 = _118346], (262 ^ _110231) ^ [_119201, _119203, _119205, _119207] : [-(remove_slb(_119207, _119203) = remove_slb(_119205, _119201)), _119207 = _119205, _119203 = _119201], (248 ^ _110231) ^ [_118733, _118735, _118737, _118739, _118741, _118743] : [-(triple(_118743, _118739, _118735) = triple(_118741, _118737, _118733)), _118743 = _118741, _118739 = _118737, _118735 = _118733], (272 ^ _110231) ^ [_119650, _119652, _119654] : [-(less_than(_119654, _119650)), less_than(_119654, _119652), less_than(_119652, _119650)], (282 ^ _110231) ^ [_119959, _119961] : [-(less_than(_119961, _119959)), -(less_than(_119959, _119961))], (288 ^ _110231) ^ [_120141] : [-(less_than(_120141, _120141))], (308 ^ _110231) ^ [_120770] : [-(less_than(bottom, _120770))], (290 ^ _110231) ^ [_120277, _120279] : [strictly_less_than(_120279, _120277), 293 ^ _110231 : [(294 ^ _110231) ^ [] : [-(less_than(_120279, _120277))], (296 ^ _110231) ^ [] : [less_than(_120277, _120279)]]], (298 ^ _110231) ^ [_120515, _120517] : [-(strictly_less_than(_120517, _120515)), less_than(_120517, _120515), -(less_than(_120515, _120517))], (310 ^ _110231) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _110231) ^ [_120956, _120958, _120960] : [-(isnonempty_slb(insert_slb(_120960, pair(_120958, _120956))))], (314 ^ _110231) ^ [_121042] : [contains_slb(create_slb, _121042)], (326 ^ _110231) ^ [_121490, _121492, _121494, _121496] : [327 ^ _110231 : [(328 ^ _110231) ^ [] : [contains_slb(_121496, _121492)], (330 ^ _110231) ^ [] : [_121494 = _121492]], -(contains_slb(insert_slb(_121496, pair(_121494, _121490)), _121492))], (316 ^ _110231) ^ [_121206, _121208, _121210, _121212] : [contains_slb(insert_slb(_121212, pair(_121210, _121206)), _121208), -(contains_slb(_121212, _121208)), -(_121210 = _121208)], (334 ^ _110231) ^ [_121788, _121790] : [pair_in_list(create_slb, _121790, _121788)], (336 ^ _110231) ^ [_121969, _121971, _121973, _121975, _121977] : [pair_in_list(insert_slb(_121977, pair(_121975, _121971)), _121973, _121969), -(pair_in_list(_121977, _121973, _121969)), 343 ^ _110231 : [(344 ^ _110231) ^ [] : [-(_121975 = _121973)], (346 ^ _110231) ^ [] : [-(_121971 = _121969)]]], (348 ^ _110231) ^ [_122348, _122350, _122352, _122354, _122356] : [-(pair_in_list(insert_slb(_122356, pair(_122354, _122350)), _122352, _122348)), 349 ^ _110231 : [(350 ^ _110231) ^ [] : [pair_in_list(_122356, _122352, _122348)], (352 ^ _110231) ^ [] : [_122354 = _122352, _122350 = _122348]]], (360 ^ _110231) ^ [_122774, _122776, _122778] : [-(remove_slb(insert_slb(_122778, pair(_122776, _122774)), _122776) = _122778)], (362 ^ _110231) ^ [_122922, _122924, _122926, _122928] : [-(remove_slb(insert_slb(_122928, pair(_122926, _122922)), _122924) = insert_slb(remove_slb(_122928, _122924), pair(_122926, _122922))), -(_122926 = _122924), contains_slb(_122928, _122924)], (372 ^ _110231) ^ [_123279, _123281, _123283] : [-(lookup_slb(insert_slb(_123283, pair(_123281, _123279)), _123281) = _123279)], (374 ^ _110231) ^ [_123427, _123429, _123431, _123433] : [-(lookup_slb(insert_slb(_123433, pair(_123431, _123427)), _123429) = lookup_slb(_123433, _123429)), -(_123431 = _123429), contains_slb(_123433, _123429)], (384 ^ _110231) ^ [_123744] : [-(update_slb(create_slb, _123744) = create_slb)], (386 ^ _110231) ^ [_123882, _123884, _123886, _123888] : [strictly_less_than(_123882, _123884), -(update_slb(insert_slb(_123888, pair(_123886, _123882)), _123884) = insert_slb(update_slb(_123888, _123884), pair(_123886, _123884)))], (392 ^ _110231) ^ [_124148, _124150, _124152, _124154] : [less_than(_124150, _124148), -(update_slb(insert_slb(_124154, pair(_124152, _124148)), _124150) = insert_slb(update_slb(_124154, _124150), pair(_124152, _124148)))], (398 ^ _110231) ^ [_124405] : [-(succ_cpq(_124405, _124405))], (400 ^ _110231) ^ [_124526, _124528, _124530] : [succ_cpq(_124530, _124528), -(succ_cpq(_124530, insert_cpq(_124528, _124526)))], (406 ^ _110231) ^ [_124762, _124764, _124766] : [succ_cpq(_124766, _124764), -(succ_cpq(_124766, remove_cpq(_124764, _124762)))], (412 ^ _110231) ^ [_124984, _124986] : [succ_cpq(_124986, _124984), -(succ_cpq(_124986, findmin_cpq_eff(_124984)))], (418 ^ _110231) ^ [_125198, _125200] : [succ_cpq(_125200, _125198), -(succ_cpq(_125200, removemin_cpq_eff(_125198)))], (424 ^ _110231) ^ [_125397, _125399] : [-(check_cpq(triple(_125399, create_slb, _125397)))], (426 ^ _110231) ^ [_125551, _125553, _125555, _125557, _125559] : [less_than(_125551, _125553), 429 ^ _110231 : [(430 ^ _110231) ^ [] : [check_cpq(triple(_125559, insert_slb(_125557, pair(_125553, _125551)), _125555)), -(check_cpq(triple(_125559, _125557, _125555)))], (436 ^ _110231) ^ [] : [check_cpq(triple(_125559, _125557, _125555)), -(check_cpq(triple(_125559, insert_slb(_125557, pair(_125553, _125551)), _125555)))]]], (442 ^ _110231) ^ [_126137, _126139, _126141, _126143, _126145] : [strictly_less_than(_126139, _126137), 445 ^ _110231 : [(446 ^ _110231) ^ [] : [check_cpq(triple(_126145, insert_slb(_126143, pair(_126139, _126137)), _126141)), 449 ^ _110231 : [(450 ^ _110231) ^ [] : [-(false___)], (452 ^ _110231) ^ [] : [false___]]], (454 ^ _110231) ^ [] : [-(check_cpq(triple(_126145, insert_slb(_126143, pair(_126139, _126137)), _126141))), false___, -(false___)]]], (464 ^ _110231) ^ [_126884, _126886, _126888, _126890] : [contains_cpq(triple(_126890, _126888, _126886), _126884), -(contains_slb(_126888, _126884))], (470 ^ _110231) ^ [_127066, _127068, _127070, _127072] : [contains_slb(_127070, _127066), -(contains_cpq(triple(_127072, _127070, _127068), _127066))], (476 ^ _110231) ^ [_127327, _127329] : [ok(triple(_127329, _127327, bad)), 479 ^ _110231 : [(480 ^ _110231) ^ [] : [-(false___)], (482 ^ _110231) ^ [] : [false___]]], (484 ^ _110231) ^ [_127551, _127553] : [-(ok(triple(_127553, _127551, bad))), false___, -(false___)], (494 ^ _110231) ^ [_127858, _127860, _127862] : [-(ok(triple(_127862, _127860, _127858))), -(_127858 = bad)], (500 ^ _110231) ^ [_128096, _128098, _128100, _128102] : [-(insert_cpq(triple(_128102, _128100, _128098), _128096) = triple(insert_pqp(_128102, _128096), insert_slb(_128100, pair(_128096, bottom)), _128098))], (502 ^ _110231) ^ [_128257, _128259, _128261, _128263] : [-(contains_slb(_128261, _128257)), -(remove_cpq(triple(_128263, _128261, _128259), _128257) = triple(_128263, _128261, bad))], (508 ^ _110231) ^ [_128532, _128534, _128536, _128538] : [-(remove_cpq(triple(_128538, _128536, _128534), _128532) = triple(remove_pqp(_128538, _128532), remove_slb(_128536, _128532), _128534)), contains_slb(_128536, _128532), less_than(lookup_slb(_128536, _128532), _128532)], (518 ^ _110231) ^ [_128919, _128921, _128923, _128925] : [-(remove_cpq(triple(_128925, _128923, _128921), _128919) = triple(remove_pqp(_128925, _128919), remove_slb(_128923, _128919), bad)), contains_slb(_128923, _128919), strictly_less_than(_128919, lookup_slb(_128923, _128919))], (528 ^ _110231) ^ [_129263, _129265] : [-(findmin_cpq_eff(triple(_129265, create_slb, _129263)) = triple(_129265, create_slb, bad))], (530 ^ _110231) ^ [_129410, _129412, _129414, _129416] : [-(findmin_cpq_eff(triple(_129416, _129414, _129412)) = triple(_129416, update_slb(_129414, findmin_pqp_res(_129416)), bad)), -(_129414 = create_slb), -(contains_slb(_129414, findmin_pqp_res(_129416)))], (540 ^ _110231) ^ [_129797, _129799, _129801, _129803] : [-(findmin_cpq_eff(triple(_129803, _129801, _129799)) = triple(_129803, update_slb(_129801, findmin_pqp_res(_129803)), bad)), -(_129801 = create_slb), contains_slb(_129801, findmin_pqp_res(_129803)), strictly_less_than(findmin_pqp_res(_129803), lookup_slb(_129801, findmin_pqp_res(_129803)))], (568 ^ _110231) ^ [_130744, _130746] : [-(findmin_cpq_res(triple(_130746, create_slb, _130744)) = bottom)], (576 ^ _110231) ^ [_131099] : [-(removemin_cpq_eff(_131099) = remove_cpq(findmin_cpq_eff(_131099), findmin_cpq_res(_131099)))], (578 ^ _110231) ^ [_131166] : [-(removemin_cpq_res(_131166) = findmin_cpq_res(_131166))], (570 ^ _110231) ^ [_130887, _130889, _130891, _130893] : [-(_130891 = create_slb), -(findmin_cpq_res(triple(_130893, _130891, _130889)) = findmin_pqp_res(_130893))], (554 ^ _110231) ^ [_130292, _130294, _130296, _130298] : [-(findmin_cpq_eff(triple(_130298, _130296, _130294)) = triple(_130298, update_slb(_130296, findmin_pqp_res(_130298)), _130294)), -(_130296 = create_slb), contains_slb(_130296, findmin_pqp_res(_130298)), less_than(lookup_slb(_130296, findmin_pqp_res(_130298)), findmin_pqp_res(_130298))]], input).
% 0.30/1.37 ncf('1',plain,[pair_in_list(create_slb, 581 ^ [], 582 ^ [])],start(334 ^ 0,bind([[_121788, _121790], [582 ^ [], 581 ^ []]]))).
% 0.30/1.37 ncf('1.1',plain,[-(pair_in_list(create_slb, 581 ^ [], 582 ^ []))],extension(584 ^ 1)).
% 0.30/1.37 %-----------------------------------------------------
% 0.30/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------