%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV389+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV389+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:52:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(593 ^ _112506) ^ [] : [check_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []))], (595 ^ _112506) ^ [] : [-(check_cpq(removemin_cpq_eff(triple(589 ^ [], 590 ^ [], 591 ^ []))))], (597 ^ _112506) ^ [] : [-(ok(removemin_cpq_eff(triple(589 ^ [], 590 ^ [], 591 ^ []))))], (2 ^ _112506) ^ [_112650] : [-(_112650 = _112650)], (4 ^ _112506) ^ [_112757, _112759] : [_112759 = _112757, -(_112757 = _112759)], (10 ^ _112506) ^ [_112961, _112963, _112965] : [-(_112965 = _112961), _112965 = _112963, _112963 = _112961], (20 ^ _112506) ^ [_113274, _113276] : [-(isnonempty_slb(_113274)), _113276 = _113274, isnonempty_slb(_113276)], (30 ^ _112506) ^ [_113625, _113627, _113629, _113631, _113633, _113635] : [-(pair_in_list(_113633, _113629, _113625)), pair_in_list(_113635, _113631, _113627), _113635 = _113633, _113631 = _113629, _113627 = _113625], (48 ^ _112506) ^ [_114206, _114208, _114210, _114212] : [-(succ_cpq(_114210, _114206)), succ_cpq(_114212, _114208), _114212 = _114210, _114208 = _114206], (62 ^ _112506) ^ [_114650, _114652, _114654, _114656] : [-(contains_cpq(_114654, _114650)), contains_cpq(_114656, _114652), _114656 = _114654, _114652 = _114650], (76 ^ _112506) ^ [_115094, _115096, _115098, _115100] : [-(strictly_less_than(_115098, _115094)), strictly_less_than(_115100, _115096), _115100 = _115098, _115096 = _115094], (90 ^ _112506) ^ [_115538, _115540, _115542, _115544] : [-(contains_slb(_115542, _115538)), contains_slb(_115544, _115540), _115544 = _115542, _115540 = _115538], (104 ^ _112506) ^ [_115982, _115984, _115986, _115988] : [-(less_than(_115986, _115982)), less_than(_115988, _115984), _115988 = _115986, _115984 = _115982], (118 ^ _112506) ^ [_116398, _116400] : [-(check_cpq(_116398)), _116400 = _116398, check_cpq(_116400)], (128 ^ _112506) ^ [_116673, _116675] : [-(ok(_116673)), _116675 = _116673, ok(_116675)], (138 ^ _112506) ^ [_117018, _117020, _117022, _117024] : [-(insert_cpq(_117024, _117020) = insert_cpq(_117022, _117018)), _117024 = _117022, _117020 = _117018], (148 ^ _112506) ^ [_117377, _117379, _117381, _117383] : [-(insert_pqp(_117383, _117379) = insert_pqp(_117381, _117377)), _117383 = _117381, _117379 = _117377], (158 ^ _112506) ^ [_117736, _117738, _117740, _117742] : [-(insert_slb(_117742, _117738) = insert_slb(_117740, _117736)), _117742 = _117740, _117738 = _117736], (168 ^ _112506) ^ [_118095, _118097, _118099, _118101] : [-(pair(_118101, _118097) = pair(_118099, _118095)), _118101 = _118099, _118097 = _118095], (178 ^ _112506) ^ [_118454, _118456, _118458, _118460] : [-(remove_pqp(_118460, _118456) = remove_pqp(_118458, _118454)), _118460 = _118458, _118456 = _118454], (188 ^ _112506) ^ [_118813, _118815, _118817, _118819] : [-(remove_slb(_118819, _118815) = remove_slb(_118817, _118813)), _118819 = _118817, _118815 = _118813], (198 ^ _112506) ^ [_119172, _119174, _119176, _119178] : [-(lookup_slb(_119178, _119174) = lookup_slb(_119176, _119172)), _119178 = _119176, _119174 = _119172], (208 ^ _112506) ^ [_119531, _119533, _119535, _119537] : [-(update_slb(_119537, _119533) = update_slb(_119535, _119531)), _119537 = _119535, _119533 = _119531], (218 ^ _112506) ^ [_119862, _119864] : [_119864 = _119862, -(findmin_pqp_res(_119864) = findmin_pqp_res(_119862))], (224 ^ _112506) ^ [_120108, _120110, _120112, _120114] : [-(remove_cpq(_120114, _120110) = remove_cpq(_120112, _120108)), _120114 = _120112, _120110 = _120108], (234 ^ _112506) ^ [_120439, _120441] : [_120441 = _120439, -(findmin_cpq_eff(_120441) = findmin_cpq_eff(_120439))], (240 ^ _112506) ^ [_120657, _120659] : [_120659 = _120657, -(removemin_cpq_res(_120659) = removemin_cpq_res(_120657))], (246 ^ _112506) ^ [_120875, _120877] : [_120877 = _120875, -(findmin_cpq_res(_120877) = findmin_cpq_res(_120875))], (252 ^ _112506) ^ [_121093, _121095] : [_121095 = _121093, -(removemin_cpq_eff(_121095) = removemin_cpq_eff(_121093))], (258 ^ _112506) ^ [_121347, _121349, _121351, _121353, _121355, _121357] : [-(triple(_121357, _121353, _121349) = triple(_121355, _121351, _121347)), _121357 = _121355, _121353 = _121351, _121349 = _121347], (272 ^ _112506) ^ [_121925, _121927, _121929] : [-(less_than(_121929, _121925)), less_than(_121929, _121927), less_than(_121927, _121925)], (282 ^ _112506) ^ [_122234, _122236] : [-(less_than(_122236, _122234)), -(less_than(_122234, _122236))], (288 ^ _112506) ^ [_122416] : [-(less_than(_122416, _122416))], (308 ^ _112506) ^ [_123045] : [-(less_than(bottom, _123045))], (290 ^ _112506) ^ [_122552, _122554] : [strictly_less_than(_122554, _122552), 293 ^ _112506 : [(294 ^ _112506) ^ [] : [-(less_than(_122554, _122552))], (296 ^ _112506) ^ [] : [less_than(_122552, _122554)]]], (298 ^ _112506) ^ [_122790, _122792] : [-(strictly_less_than(_122792, _122790)), less_than(_122792, _122790), -(less_than(_122790, _122792))], (310 ^ _112506) ^ [] : [isnonempty_slb(create_slb)], (312 ^ _112506) ^ [_123231, _123233, _123235] : [-(isnonempty_slb(insert_slb(_123235, pair(_123233, _123231))))], (314 ^ _112506) ^ [_123317] : [contains_slb(create_slb, _123317)], (326 ^ _112506) ^ [_123765, _123767, _123769, _123771] : [327 ^ _112506 : [(328 ^ _112506) ^ [] : [contains_slb(_123771, _123767)], (330 ^ _112506) ^ [] : [_123769 = _123767]], -(contains_slb(insert_slb(_123771, pair(_123769, _123765)), _123767))], (316 ^ _112506) ^ [_123481, _123483, _123485, _123487] : [contains_slb(insert_slb(_123487, pair(_123485, _123481)), _123483), -(contains_slb(_123487, _123483)), -(_123485 = _123483)], (334 ^ _112506) ^ [_124063, _124065] : [pair_in_list(create_slb, _124065, _124063)], (336 ^ _112506) ^ [_124244, _124246, _124248, _124250, _124252] : [pair_in_list(insert_slb(_124252, pair(_124250, _124246)), _124248, _124244), -(pair_in_list(_124252, _124248, _124244)), 343 ^ _112506 : [(344 ^ _112506) ^ [] : [-(_124250 = _124248)], (346 ^ _112506) ^ [] : [-(_124246 = _124244)]]], (348 ^ _112506) ^ [_124623, _124625, _124627, _124629, _124631] : [-(pair_in_list(insert_slb(_124631, pair(_124629, _124625)), _124627, _124623)), 349 ^ _112506 : [(350 ^ _112506) ^ [] : [pair_in_list(_124631, _124627, _124623)], (352 ^ _112506) ^ [] : [_124629 = _124627, _124625 = _124623]]], (360 ^ _112506) ^ [_125049, _125051, _125053] : [-(remove_slb(insert_slb(_125053, pair(_125051, _125049)), _125051) = _125053)], (362 ^ _112506) ^ [_125197, _125199, _125201, _125203] : [-(remove_slb(insert_slb(_125203, pair(_125201, _125197)), _125199) = insert_slb(remove_slb(_125203, _125199), pair(_125201, _125197))), -(_125201 = _125199), contains_slb(_125203, _125199)], (372 ^ _112506) ^ [_125554, _125556, _125558] : [-(lookup_slb(insert_slb(_125558, pair(_125556, _125554)), _125556) = _125554)], (374 ^ _112506) ^ [_125702, _125704, _125706, _125708] : [-(lookup_slb(insert_slb(_125708, pair(_125706, _125702)), _125704) = lookup_slb(_125708, _125704)), -(_125706 = _125704), contains_slb(_125708, _125704)], (384 ^ _112506) ^ [_126019] : [-(update_slb(create_slb, _126019) = create_slb)], (386 ^ _112506) ^ [_126157, _126159, _126161, _126163] : [strictly_less_than(_126157, _126159), -(update_slb(insert_slb(_126163, pair(_126161, _126157)), _126159) = insert_slb(update_slb(_126163, _126159), pair(_126161, _126159)))], (392 ^ _112506) ^ [_126423, _126425, _126427, _126429] : [less_than(_126425, _126423), -(update_slb(insert_slb(_126429, pair(_126427, _126423)), _126425) = insert_slb(update_slb(_126429, _126425), pair(_126427, _126423)))], (580 ^ _112506) ^ [_133622, _133624, _133626] : [-(check_cpq(triple(_133626, _133624, _133622))), check_cpq(removemin_cpq_eff(triple(_133626, _133624, _133622))), ok(removemin_cpq_eff(triple(_133626, _133624, _133622)))], (398 ^ _112506) ^ [_126700] : [-(succ_cpq(_126700, _126700))], (400 ^ _112506) ^ [_126821, _126823, _126825] : [succ_cpq(_126825, _126823), -(succ_cpq(_126825, insert_cpq(_126823, _126821)))], (406 ^ _112506) ^ [_127057, _127059, _127061] : [succ_cpq(_127061, _127059), -(succ_cpq(_127061, remove_cpq(_127059, _127057)))], (412 ^ _112506) ^ [_127279, _127281] : [succ_cpq(_127281, _127279), -(succ_cpq(_127281, findmin_cpq_eff(_127279)))], (418 ^ _112506) ^ [_127493, _127495] : [succ_cpq(_127495, _127493), -(succ_cpq(_127495, removemin_cpq_eff(_127493)))], (424 ^ _112506) ^ [_127692, _127694] : [-(check_cpq(triple(_127694, create_slb, _127692)))], (426 ^ _112506) ^ [_127846, _127848, _127850, _127852, _127854] : [less_than(_127846, _127848), 429 ^ _112506 : [(430 ^ _112506) ^ [] : [check_cpq(triple(_127854, insert_slb(_127852, pair(_127848, _127846)), _127850)), -(check_cpq(triple(_127854, _127852, _127850)))], (436 ^ _112506) ^ [] : [check_cpq(triple(_127854, _127852, _127850)), -(check_cpq(triple(_127854, insert_slb(_127852, pair(_127848, _127846)), _127850)))]]], (442 ^ _112506) ^ [_128432, _128434, _128436, _128438, _128440] : [strictly_less_than(_128434, _128432), 445 ^ _112506 : [(446 ^ _112506) ^ [] : [check_cpq(triple(_128440, insert_slb(_128438, pair(_128434, _128432)), _128436)), 449 ^ _112506 : [(450 ^ _112506) ^ [] : [-(false___)], (452 ^ _112506) ^ [] : [false___]]], (454 ^ _112506) ^ [] : [-(check_cpq(triple(_128440, insert_slb(_128438, pair(_128434, _128432)), _128436))), false___, -(false___)]]], (464 ^ _112506) ^ [_129179, _129181, _129183, _129185] : [contains_cpq(triple(_129185, _129183, _129181), _129179), -(contains_slb(_129183, _129179))], (470 ^ _112506) ^ [_129361, _129363, _129365, _129367] : [contains_slb(_129365, _129361), -(contains_cpq(triple(_129367, _129365, _129363), _129361))], (476 ^ _112506) ^ [_129622, _129624] : [ok(triple(_129624, _129622, bad)), 479 ^ _112506 : [(480 ^ _112506) ^ [] : [-(false___)], (482 ^ _112506) ^ [] : [false___]]], (484 ^ _112506) ^ [_129846, _129848] : [-(ok(triple(_129848, _129846, bad))), false___, -(false___)], (494 ^ _112506) ^ [_130153, _130155, _130157] : [-(ok(triple(_130157, _130155, _130153))), -(_130153 = bad)], (500 ^ _112506) ^ [_130391, _130393, _130395, _130397] : [-(insert_cpq(triple(_130397, _130395, _130393), _130391) = triple(insert_pqp(_130397, _130391), insert_slb(_130395, pair(_130391, bottom)), _130393))], (502 ^ _112506) ^ [_130552, _130554, _130556, _130558] : [-(contains_slb(_130556, _130552)), -(remove_cpq(triple(_130558, _130556, _130554), _130552) = triple(_130558, _130556, bad))], (508 ^ _112506) ^ [_130827, _130829, _130831, _130833] : [-(remove_cpq(triple(_130833, _130831, _130829), _130827) = triple(remove_pqp(_130833, _130827), remove_slb(_130831, _130827), _130829)), contains_slb(_130831, _130827), less_than(lookup_slb(_130831, _130827), _130827)], (518 ^ _112506) ^ [_131214, _131216, _131218, _131220] : [-(remove_cpq(triple(_131220, _131218, _131216), _131214) = triple(remove_pqp(_131220, _131214), remove_slb(_131218, _131214), bad)), contains_slb(_131218, _131214), strictly_less_than(_131214, lookup_slb(_131218, _131214))], (528 ^ _112506) ^ [_131558, _131560] : [-(findmin_cpq_eff(triple(_131560, create_slb, _131558)) = triple(_131560, create_slb, bad))], (530 ^ _112506) ^ [_131705, _131707, _131709, _131711] : [-(findmin_cpq_eff(triple(_131711, _131709, _131707)) = triple(_131711, update_slb(_131709, findmin_pqp_res(_131711)), bad)), -(_131709 = create_slb), -(contains_slb(_131709, findmin_pqp_res(_131711)))], (540 ^ _112506) ^ [_132092, _132094, _132096, _132098] : [-(findmin_cpq_eff(triple(_132098, _132096, _132094)) = triple(_132098, update_slb(_132096, findmin_pqp_res(_132098)), bad)), -(_132096 = create_slb), contains_slb(_132096, findmin_pqp_res(_132098)), strictly_less_than(findmin_pqp_res(_132098), lookup_slb(_132096, findmin_pqp_res(_132098)))], (568 ^ _112506) ^ [_133039, _133041] : [-(findmin_cpq_res(triple(_133041, create_slb, _133039)) = bottom)], (576 ^ _112506) ^ [_133394] : [-(removemin_cpq_eff(_133394) = remove_cpq(findmin_cpq_eff(_133394), findmin_cpq_res(_133394)))], (578 ^ _112506) ^ [_133461] : [-(removemin_cpq_res(_133461) = findmin_cpq_res(_133461))], (570 ^ _112506) ^ [_133182, _133184, _133186, _133188] : [-(_133186 = create_slb), -(findmin_cpq_res(triple(_133188, _133186, _133184)) = findmin_pqp_res(_133188))], (554 ^ _112506) ^ [_132587, _132589, _132591, _132593] : [-(findmin_cpq_eff(triple(_132593, _132591, _132589)) = triple(_132593, update_slb(_132591, findmin_pqp_res(_132593)), _132589)), -(_132591 = create_slb), contains_slb(_132591, findmin_pqp_res(_132593)), less_than(lookup_slb(_132591, findmin_pqp_res(_132593)), findmin_pqp_res(_132593))]], input).
% 0.33/1.37  ncf('1',plain,[check_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []))],start(593 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(check_cpq(triple(589 ^ [], 590 ^ [], 591 ^ []))), check_cpq(removemin_cpq_eff(triple(589 ^ [], 590 ^ [], 591 ^ []))), ok(removemin_cpq_eff(triple(589 ^ [], 590 ^ [], 591 ^ [])))],extension(580 ^ 1,bind([[_133622, _133624, _133626], [591 ^ [], 590 ^ [], 589 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(check_cpq(removemin_cpq_eff(triple(589 ^ [], 590 ^ [], 591 ^ []))))],extension(595 ^ 2)).
% 0.33/1.37  ncf('1.1.2',plain,[-(ok(removemin_cpq_eff(triple(589 ^ [], 590 ^ [], 591 ^ []))))],extension(597 ^ 2)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------