%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : CSR019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 10:23:52 EDT 2023

% Result   : Theorem 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : CSR019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 00:34:59 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(862 ^ _112068) ^ [] : [-(holdsAt(forwards, n2))], (224 ^ _112068) ^ [_119697, _119699, _119701, _119703] : [-(plus(_119703, _119699) = plus(_119701, _119697)), _119703 = _119701, _119699 = _119697], (2 ^ _112068) ^ [_112212] : [-(_112212 = _112212)], (4 ^ _112068) ^ [_112319, _112321] : [_112321 = _112319, -(_112319 = _112321)], (10 ^ _112068) ^ [_112523, _112525, _112527] : [-(_112527 = _112523), _112527 = _112525, _112525 = _112523], (20 ^ _112068) ^ [_112920, _112922, _112924, _112926, _112928, _112930, _112932, _112934] : [-(trajectory(_112932, _112928, _112924, _112920)), trajectory(_112934, _112930, _112926, _112922), _112934 = _112932, _112930 = _112928, _112926 = _112924, _112922 = _112920], (42 ^ _112068) ^ [_113682, _113684, _113686, _113688, _113690, _113692] : [-(stoppedIn(_113690, _113686, _113682)), stoppedIn(_113692, _113688, _113684), _113692 = _113690, _113688 = _113686, _113684 = _113682], (60 ^ _112068) ^ [_114319, _114321, _114323, _114325, _114327, _114329, _114331, _114333] : [-(antitrajectory(_114331, _114327, _114323, _114319)), antitrajectory(_114333, _114329, _114325, _114321), _114333 = _114331, _114329 = _114327, _114325 = _114323, _114321 = _114319], (82 ^ _112068) ^ [_115081, _115083, _115085, _115087, _115089, _115091] : [-(startedIn(_115089, _115085, _115081)), startedIn(_115091, _115087, _115083), _115091 = _115089, _115087 = _115085, _115083 = _115081], (100 ^ _112068) ^ [_115690, _115692, _115694, _115696, _115698, _115700] : [-(initiates(_115698, _115694, _115690)), initiates(_115700, _115696, _115692), _115700 = _115698, _115696 = _115694, _115692 = _115690], (118 ^ _112068) ^ [_116299, _116301, _116303, _116305, _116307, _116309] : [-(terminates(_116307, _116303, _116299)), terminates(_116309, _116305, _116301), _116309 = _116307, _116305 = _116303, _116301 = _116299], (136 ^ _112068) ^ [_116908, _116910, _116912, _116914, _116916, _116918] : [-(releases(_116916, _116912, _116908)), releases(_116918, _116914, _116910), _116918 = _116916, _116914 = _116912, _116910 = _116908], (154 ^ _112068) ^ [_117489, _117491, _117493, _117495] : [-(happens(_117493, _117489)), happens(_117495, _117491), _117495 = _117493, _117491 = _117489], (168 ^ _112068) ^ [_117933, _117935, _117937, _117939] : [-(less_or_equal(_117937, _117933)), less_or_equal(_117939, _117935), _117939 = _117937, _117935 = _117933], (182 ^ _112068) ^ [_118377, _118379, _118381, _118383] : [-(less(_118381, _118377)), less(_118383, _118379), _118383 = _118381, _118379 = _118377], (196 ^ _112068) ^ [_118821, _118823, _118825, _118827] : [-(releasedAt(_118825, _118821)), releasedAt(_118827, _118823), _118827 = _118825, _118823 = _118821], (210 ^ _112068) ^ [_119245, _119247, _119249, _119251] : [-(holdsAt(_119249, _119245)), holdsAt(_119251, _119247), _119251 = _119249, _119247 = _119245], (234 ^ _112068) ^ [_120093, _120095, _120097] : [stoppedIn(_120097, _120095, _120093), 239 ^ _112068 : [(240 ^ _112068) ^ [] : [-(happens(237 ^ [_120093, _120095, _120097], 238 ^ [_120093, _120095, _120097]))], (242 ^ _112068) ^ [] : [-(less(_120097, 238 ^ [_120093, _120095, _120097]))], (244 ^ _112068) ^ [] : [-(less(238 ^ [_120093, _120095, _120097], _120093))], (246 ^ _112068) ^ [] : [-(terminates(237 ^ [_120093, _120095, _120097], _120095, 238 ^ [_120093, _120095, _120097]))]]], (248 ^ _112068) ^ [_120717, _120719, _120721] : [-(stoppedIn(_120721, _120719, _120717)), 249 ^ _112068 : [(250 ^ _112068) ^ [_120844, _120846] : [happens(_120846, _120844), less(_120721, _120844), less(_120844, _120717), terminates(_120846, _120719, _120844)]]], (266 ^ _112068) ^ [_121380, _121382, _121384] : [startedIn(_121384, _121380, _121382), 271 ^ _112068 : [(272 ^ _112068) ^ [] : [-(happens(269 ^ [_121380, _121382, _121384], 270 ^ [_121380, _121382, _121384]))], (274 ^ _112068) ^ [] : [-(less(_121384, 270 ^ [_121380, _121382, _121384]))], (276 ^ _112068) ^ [] : [-(less(270 ^ [_121380, _121382, _121384], _121382))], (278 ^ _112068) ^ [] : [-(initiates(269 ^ [_121380, _121382, _121384], _121380, 270 ^ [_121380, _121382, _121384]))]]], (280 ^ _112068) ^ [_122004, _122006, _122008] : [-(startedIn(_122008, _122004, _122006)), 281 ^ _112068 : [(282 ^ _112068) ^ [_122131, _122133] : [happens(_122133, _122131), less(_122008, _122131), less(_122131, _122006), initiates(_122133, _122004, _122131)]]], (298 ^ _112068) ^ [_122666, _122668, _122670, _122672, _122674] : [-(holdsAt(_122668, plus(_122672, _122666))), happens(_122674, _122672), initiates(_122674, _122670, _122672), less(n0, _122666), trajectory(_122670, _122672, _122668, _122666), -(stoppedIn(_122672, _122670, plus(_122672, _122666)))], (320 ^ _112068) ^ [_123363, _123365, _123367, _123369, _123371] : [-(holdsAt(_123363, plus(_123369, _123365))), happens(_123371, _123369), terminates(_123371, _123367, _123369), less(n0, _123365), antitrajectory(_123367, _123369, _123363, _123365), -(startedIn(_123369, _123367, plus(_123369, _123365)))], (342 ^ _112068) ^ [_124018, _124020] : [-(holdsAt(_124020, plus(_124018, n1))), holdsAt(_124020, _124018), -(releasedAt(_124020, plus(_124018, n1))), 352 ^ _112068 : [(353 ^ _112068) ^ [] : [-(happens(351 ^ [_124018, _124020], _124018))], (355 ^ _112068) ^ [] : [-(terminates(351 ^ [_124018, _124020], _124020, _124018))]]], (359 ^ _112068) ^ [_124572, _124574] : [holdsAt(_124574, plus(_124572, n1)), -(holdsAt(_124574, _124572)), -(releasedAt(_124574, plus(_124572, n1))), 369 ^ _112068 : [(370 ^ _112068) ^ [] : [-(happens(368 ^ [_124572, _124574], _124572))], (372 ^ _112068) ^ [] : [-(initiates(368 ^ [_124572, _124574], _124574, _124572))]]], (376 ^ _112068) ^ [_125130, _125132] : [-(releasedAt(_125132, plus(_125130, n1))), releasedAt(_125132, _125130), 382 ^ _112068 : [(383 ^ _112068) ^ [] : [-(happens(381 ^ [_125130, _125132], _125130))], (385 ^ _112068) ^ [] : [-(initiates(381 ^ [_125130, _125132], _125132, _125130)), -(terminates(381 ^ [_125130, _125132], _125132, _125130))]]], (393 ^ _112068) ^ [_125692, _125694] : [releasedAt(_125694, plus(_125692, n1)), -(releasedAt(_125694, _125692)), 399 ^ _112068 : [(400 ^ _112068) ^ [] : [-(happens(398 ^ [_125692, _125694], _125692))], (402 ^ _112068) ^ [] : [-(releases(398 ^ [_125692, _125694], _125694, _125692))]]], (406 ^ _112068) ^ [_126166, _126168, _126170] : [-(holdsAt(_126166, plus(_126168, n1))), happens(_126170, _126168), initiates(_126170, _126166, _126168)], (416 ^ _112068) ^ [_126497, _126499, _126501] : [holdsAt(_126497, plus(_126499, n1)), happens(_126501, _126499), terminates(_126501, _126497, _126499)], (426 ^ _112068) ^ [_126829, _126831, _126833] : [-(releasedAt(_126829, plus(_126831, n1))), happens(_126833, _126831), releases(_126833, _126829, _126831)], (436 ^ _112068) ^ [_127140, _127142, _127144] : [releasedAt(_127140, plus(_127142, n1)), happens(_127144, _127142), 441 ^ _112068 : [(442 ^ _112068) ^ [] : [initiates(_127144, _127140, _127142)], (444 ^ _112068) ^ [] : [terminates(_127144, _127140, _127142)]]], (686 ^ _112068) ^ [] : [-(plus(n0, n0) = n0)], (688 ^ _112068) ^ [] : [-(plus(n0, n1) = n1)], (690 ^ _112068) ^ [] : [-(plus(n0, n2) = n2)], (692 ^ _112068) ^ [] : [-(plus(n0, n3) = n3)], (694 ^ _112068) ^ [] : [-(plus(n1, n1) = n2)], (696 ^ _112068) ^ [] : [-(plus(n1, n2) = n3)], (698 ^ _112068) ^ [] : [-(plus(n1, n3) = n4)], (700 ^ _112068) ^ [] : [-(plus(n2, n2) = n4)], (702 ^ _112068) ^ [] : [-(plus(n2, n3) = n5)], (704 ^ _112068) ^ [] : [-(plus(n3, n3) = n6)], (706 ^ _112068) ^ [_135104, _135106] : [-(plus(_135106, _135104) = plus(_135104, _135106))], (718 ^ _112068) ^ [_135500, _135502] : [719 ^ _112068 : [(720 ^ _112068) ^ [] : [less(_135502, _135500)], (722 ^ _112068) ^ [] : [_135502 = _135500]], -(less_or_equal(_135502, _135500))], (708 ^ _112068) ^ [_135248, _135250] : [less_or_equal(_135250, _135248), -(less(_135250, _135248)), -(_135250 = _135248)], (726 ^ _112068) ^ [_135756] : [less(_135756, n0)], (728 ^ _112068) ^ [_135878] : [less(_135878, n1), -(less_or_equal(_135878, n0))], (734 ^ _112068) ^ [_136034] : [less_or_equal(_136034, n0), -(less(_136034, n1))], (740 ^ _112068) ^ [_136255] : [less(_136255, n2), -(less_or_equal(_136255, n1))], (746 ^ _112068) ^ [_136411] : [less_or_equal(_136411, n1), -(less(_136411, n2))], (752 ^ _112068) ^ [_136632] : [less(_136632, n3), -(less_or_equal(_136632, n2))], (758 ^ _112068) ^ [_136788] : [less_or_equal(_136788, n2), -(less(_136788, n3))], (764 ^ _112068) ^ [_137009] : [less(_137009, n4), -(less_or_equal(_137009, n3))], (770 ^ _112068) ^ [_137165] : [less_or_equal(_137165, n3), -(less(_137165, n4))], (776 ^ _112068) ^ [_137386] : [less(_137386, n5), -(less_or_equal(_137386, n4))], (782 ^ _112068) ^ [_137542] : [less_or_equal(_137542, n4), -(less(_137542, n5))], (788 ^ _112068) ^ [_137763] : [less(_137763, n6), -(less_or_equal(_137763, n5))], (794 ^ _112068) ^ [_137919] : [less_or_equal(_137919, n5), -(less(_137919, n6))], (800 ^ _112068) ^ [_138140] : [less(_138140, n7), -(less_or_equal(_138140, n6))], (806 ^ _112068) ^ [_138296] : [less_or_equal(_138296, n6), -(less(_138296, n7))], (812 ^ _112068) ^ [_138517] : [less(_138517, n8), -(less_or_equal(_138517, n7))], (818 ^ _112068) ^ [_138673] : [less_or_equal(_138673, n7), -(less(_138673, n8))], (824 ^ _112068) ^ [_138894] : [less(_138894, n9), -(less_or_equal(_138894, n8))], (830 ^ _112068) ^ [_139050] : [less_or_equal(_139050, n8), -(less(_139050, n9))], (854 ^ _112068) ^ [] : [holdsAt(forwards, n0)], (856 ^ _112068) ^ [] : [holdsAt(backwards, n0)], (858 ^ _112068) ^ [] : [holdsAt(spinning, n0)], (860 ^ _112068) ^ [_139951, _139953] : [releasedAt(_139953, _139951)], (836 ^ _112068) ^ [_139285, _139287] : [less(_139287, _139285), 839 ^ _112068 : [(840 ^ _112068) ^ [] : [less(_139285, _139287)], (842 ^ _112068) ^ [] : [_139285 = _139287]]], (844 ^ _112068) ^ [_139524, _139526] : [-(less(_139526, _139524)), -(less(_139524, _139526)), -(_139524 = _139526)], (448 ^ _112068) ^ [_127625, _127627, _127629] : [initiates(_127629, _127627, _127625), 453 ^ _112068 : [(454 ^ _112068) ^ [] : [-(_127629 = push)], (456 ^ _112068) ^ [] : [-(_127627 = forwards)], (458 ^ _112068) ^ [] : [happens(pull, _127625)]], 461 ^ _112068 : [(462 ^ _112068) ^ [] : [-(_127629 = pull)], (464 ^ _112068) ^ [] : [-(_127627 = backwards)], (466 ^ _112068) ^ [] : [happens(push, _127625)]], 467 ^ _112068 : [(468 ^ _112068) ^ [] : [-(_127629 = pull)], (470 ^ _112068) ^ [] : [-(_127627 = spinning)], (472 ^ _112068) ^ [] : [-(happens(push, _127625))]]], (474 ^ _112068) ^ [_128444, _128446, _128448] : [-(initiates(_128448, _128446, _128444)), 475 ^ _112068 : [(476 ^ _112068) ^ [] : [_128448 = push, _128446 = forwards, -(happens(pull, _128444))], (486 ^ _112068) ^ [] : [_128448 = pull, _128446 = backwards, -(happens(push, _128444))], (496 ^ _112068) ^ [] : [_128448 = pull, _128446 = spinning, happens(push, _128444)]]], (622 ^ _112068) ^ [_132706, _132708, _132710] : [releases(_132710, _132708, _132706)], (678 ^ _112068) ^ [] : [push = pull], (680 ^ _112068) ^ [] : [forwards = backwards], (682 ^ _112068) ^ [] : [forwards = spinning], (684 ^ _112068) ^ [] : [spinning = backwards], (624 ^ _112068) ^ [_132847, _132849] : [happens(_132849, _132847), 629 ^ _112068 : [(630 ^ _112068) ^ [] : [-(_132849 = push)], (632 ^ _112068) ^ [] : [-(_132847 = n0)]], 635 ^ _112068 : [(636 ^ _112068) ^ [] : [-(_132849 = pull)], (638 ^ _112068) ^ [] : [-(_132847 = n1)]], 641 ^ _112068 : [(642 ^ _112068) ^ [] : [-(_132849 = pull)], (644 ^ _112068) ^ [] : [-(_132847 = n2)]], 645 ^ _112068 : [(646 ^ _112068) ^ [] : [-(_132849 = push)], (648 ^ _112068) ^ [] : [-(_132847 = n2)]]], (650 ^ _112068) ^ [_133579, _133581] : [-(happens(_133581, _133579)), 651 ^ _112068 : [(652 ^ _112068) ^ [] : [_133581 = push, _133579 = n0], (658 ^ _112068) ^ [] : [_133581 = pull, _133579 = n1], (664 ^ _112068) ^ [] : [_133581 = pull, _133579 = n2], (670 ^ _112068) ^ [] : [_133581 = push, _133579 = n2]]], (508 ^ _112068) ^ [_129422, _129424, _129426] : [terminates(_129426, _129424, _129422), 513 ^ _112068 : [(514 ^ _112068) ^ [] : [-(_129426 = push)], (516 ^ _112068) ^ [] : [-(_129424 = backwards)], (518 ^ _112068) ^ [] : [happens(pull, _129422)]], 521 ^ _112068 : [(522 ^ _112068) ^ [] : [-(_129426 = pull)], (524 ^ _112068) ^ [] : [-(_129424 = forwards)], (526 ^ _112068) ^ [] : [happens(push, _129422)]], 529 ^ _112068 : [(530 ^ _112068) ^ [] : [-(_129426 = pull)], (532 ^ _112068) ^ [] : [-(_129424 = forwards)], (534 ^ _112068) ^ [] : [-(happens(push, _129422))]], 537 ^ _112068 : [(538 ^ _112068) ^ [] : [-(_129426 = pull)], (540 ^ _112068) ^ [] : [-(_129424 = backwards)], (542 ^ _112068) ^ [] : [-(happens(push, _129422))]], 545 ^ _112068 : [(546 ^ _112068) ^ [] : [-(_129426 = push)], (548 ^ _112068) ^ [] : [-(_129424 = spinning)], (550 ^ _112068) ^ [] : [happens(pull, _129422)]], 551 ^ _112068 : [(552 ^ _112068) ^ [] : [-(_129426 = pull)], (554 ^ _112068) ^ [] : [-(_129424 = spinning)], (556 ^ _112068) ^ [] : [happens(push, _129422)]]], (558 ^ _112068) ^ [_130984, _130986, _130988] : [-(terminates(_130988, _130986, _130984)), 559 ^ _112068 : [(560 ^ _112068) ^ [] : [_130988 = push, _130986 = backwards, -(happens(pull, _130984))], (570 ^ _112068) ^ [] : [_130988 = pull, _130986 = forwards, -(happens(push, _130984))], (580 ^ _112068) ^ [] : [_130988 = pull, _130986 = forwards, happens(push, _130984)], (590 ^ _112068) ^ [] : [_130988 = pull, _130986 = backwards, happens(push, _130984)], (600 ^ _112068) ^ [] : [_130988 = push, _130986 = spinning, -(happens(pull, _130984))], (610 ^ _112068) ^ [] : [_130988 = pull, _130986 = spinning, -(happens(push, _130984))]]]], input).
% 0.35/1.38  ncf('1',plain,[holdsAt(forwards, plus(n1, n1)), happens(pull, n1), terminates(pull, forwards, n1)],start(416 ^ 0,bind([[_126497, _126499, _126501], [forwards, n1, pull]]))).
% 0.35/1.38  ncf('1.1',plain,[-(holdsAt(forwards, plus(n1, n1))), holdsAt(forwards, n2), forwards = forwards, n2 = plus(n1, n1)],extension(210 ^ 1,bind([[_119245, _119247, _119249, _119251], [plus(n1, n1), n2, forwards, forwards]]))).
% 0.35/1.38  ncf('1.1.1',plain,[-(holdsAt(forwards, n2))],extension(862 ^ 2)).
% 0.35/1.38  ncf('1.1.2',plain,[-(forwards = forwards)],extension(2 ^ 2,bind([[_112212], [forwards]]))).
% 0.35/1.38  ncf('1.1.3',plain,[-(n2 = plus(n1, n1)), plus(n1, n1) = n2],extension(4 ^ 2,bind([[_112319, _112321], [n2, plus(n1, n1)]]))).
% 0.35/1.38  ncf('1.1.3.1',plain,[-(plus(n1, n1) = n2)],extension(694 ^ 3)).
% 0.35/1.38  ncf('1.2',plain,[-(happens(pull, n1)), 658 : pull = pull, 658 : n1 = n1],extension(650 ^ 1,bind([[_133579, _133581], [n1, pull]]))).
% 0.35/1.38  ncf('1.2.1',plain,[-(pull = pull)],extension(2 ^ 4,bind([[_112212], [pull]]))).
% 0.35/1.38  ncf('1.2.2',plain,[-(n1 = n1)],extension(2 ^ 4,bind([[_112212], [n1]]))).
% 0.35/1.38  ncf('1.3',plain,[-(terminates(pull, forwards, n1)), 570 : pull = pull, 570 : forwards = forwards, 570 : -(happens(push, n1))],extension(558 ^ 1,bind([[_130984, _130986, _130988], [n1, forwards, pull]]))).
% 0.35/1.38  ncf('1.3.1',plain,[-(pull = pull)],extension(2 ^ 4,bind([[_112212], [pull]]))).
% 0.35/1.38  ncf('1.3.2',plain,[-(forwards = forwards)],extension(2 ^ 4,bind([[_112212], [forwards]]))).
% 0.35/1.38  ncf('1.3.3',plain,[happens(push, n1), pull = pull, forwards = forwards],extension(580 ^ 4)).
% 0.35/1.38  ncf('1.3.3.1',plain,[-(pull = pull)],lemmata('[1].x')).
% 0.35/1.38  ncf('1.3.3.2',plain,[-(forwards = forwards)],lemmata('[1].x')).
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------