%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 10:23:51 EDT 2023

% Result   : Theorem 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.06/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n007.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 00:26:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(835 ^ _114152) ^ [] : [happens(overflow, n3)], (234 ^ _114152) ^ [_122112, _122114] : [_122114 = _122112, -(waterLevel(_122114) = waterLevel(_122112))], (224 ^ _114152) ^ [_121801, _121803, _121805, _121807] : [-(plus(_121807, _121803) = plus(_121805, _121801)), _121807 = _121805, _121803 = _121801], (2 ^ _114152) ^ [_114296] : [-(_114296 = _114296)], (4 ^ _114152) ^ [_114403, _114405] : [_114405 = _114403, -(_114403 = _114405)], (10 ^ _114152) ^ [_114607, _114609, _114611] : [-(_114611 = _114607), _114611 = _114609, _114609 = _114607], (20 ^ _114152) ^ [_114976, _114978, _114980, _114982, _114984, _114986] : [-(stoppedIn(_114984, _114980, _114976)), stoppedIn(_114986, _114982, _114978), _114986 = _114984, _114982 = _114980, _114978 = _114976], (38 ^ _114152) ^ [_115613, _115615, _115617, _115619, _115621, _115623, _115625, _115627] : [-(antitrajectory(_115625, _115621, _115617, _115613)), antitrajectory(_115627, _115623, _115619, _115615), _115627 = _115625, _115623 = _115621, _115619 = _115617, _115615 = _115613], (60 ^ _114152) ^ [_116375, _116377, _116379, _116381, _116383, _116385] : [-(startedIn(_116383, _116379, _116375)), startedIn(_116385, _116381, _116377), _116385 = _116383, _116381 = _116379, _116377 = _116375], (78 ^ _114152) ^ [_116984, _116986, _116988, _116990, _116992, _116994] : [-(initiates(_116992, _116988, _116984)), initiates(_116994, _116990, _116986), _116994 = _116992, _116990 = _116988, _116986 = _116984], (96 ^ _114152) ^ [_117593, _117595, _117597, _117599, _117601, _117603] : [-(terminates(_117601, _117597, _117593)), terminates(_117603, _117599, _117595), _117603 = _117601, _117599 = _117597, _117595 = _117593], (114 ^ _114152) ^ [_118202, _118204, _118206, _118208, _118210, _118212] : [-(releases(_118210, _118206, _118202)), releases(_118212, _118208, _118204), _118212 = _118210, _118208 = _118206, _118204 = _118202], (132 ^ _114152) ^ [_118839, _118841, _118843, _118845, _118847, _118849, _118851, _118853] : [-(trajectory(_118851, _118847, _118843, _118839)), trajectory(_118853, _118849, _118845, _118841), _118853 = _118851, _118849 = _118847, _118845 = _118843, _118841 = _118839], (154 ^ _114152) ^ [_119573, _119575, _119577, _119579] : [-(less_or_equal(_119577, _119573)), less_or_equal(_119579, _119575), _119579 = _119577, _119575 = _119573], (168 ^ _114152) ^ [_120017, _120019, _120021, _120023] : [-(less(_120021, _120017)), less(_120023, _120019), _120023 = _120021, _120019 = _120017], (182 ^ _114152) ^ [_120461, _120463, _120465, _120467] : [-(releasedAt(_120465, _120461)), releasedAt(_120467, _120463), _120467 = _120465, _120463 = _120461], (196 ^ _114152) ^ [_120905, _120907, _120909, _120911] : [-(holdsAt(_120909, _120905)), holdsAt(_120911, _120907), _120911 = _120909, _120907 = _120905], (210 ^ _114152) ^ [_121329, _121331, _121333, _121335] : [-(happens(_121333, _121329)), happens(_121335, _121331), _121335 = _121333, _121331 = _121329], (240 ^ _114152) ^ [_122431, _122433, _122435] : [stoppedIn(_122435, _122433, _122431), 245 ^ _114152 : [(246 ^ _114152) ^ [] : [-(happens(243 ^ [_122431, _122433, _122435], 244 ^ [_122431, _122433, _122435]))], (248 ^ _114152) ^ [] : [-(less(_122435, 244 ^ [_122431, _122433, _122435]))], (250 ^ _114152) ^ [] : [-(less(244 ^ [_122431, _122433, _122435], _122431))], (252 ^ _114152) ^ [] : [-(terminates(243 ^ [_122431, _122433, _122435], _122433, 244 ^ [_122431, _122433, _122435]))]]], (254 ^ _114152) ^ [_123055, _123057, _123059] : [-(stoppedIn(_123059, _123057, _123055)), 255 ^ _114152 : [(256 ^ _114152) ^ [_123182, _123184] : [happens(_123184, _123182), less(_123059, _123182), less(_123182, _123055), terminates(_123184, _123057, _123182)]]], (272 ^ _114152) ^ [_123718, _123720, _123722] : [startedIn(_123722, _123718, _123720), 277 ^ _114152 : [(278 ^ _114152) ^ [] : [-(happens(275 ^ [_123718, _123720, _123722], 276 ^ [_123718, _123720, _123722]))], (280 ^ _114152) ^ [] : [-(less(_123722, 276 ^ [_123718, _123720, _123722]))], (282 ^ _114152) ^ [] : [-(less(276 ^ [_123718, _123720, _123722], _123720))], (284 ^ _114152) ^ [] : [-(initiates(275 ^ [_123718, _123720, _123722], _123718, 276 ^ [_123718, _123720, _123722]))]]], (286 ^ _114152) ^ [_124342, _124344, _124346] : [-(startedIn(_124346, _124342, _124344)), 287 ^ _114152 : [(288 ^ _114152) ^ [_124469, _124471] : [happens(_124471, _124469), less(_124346, _124469), less(_124469, _124344), initiates(_124471, _124342, _124469)]]], (304 ^ _114152) ^ [_125004, _125006, _125008, _125010, _125012] : [-(holdsAt(_125006, plus(_125010, _125004))), happens(_125012, _125010), initiates(_125012, _125008, _125010), less(n0, _125004), trajectory(_125008, _125010, _125006, _125004), -(stoppedIn(_125010, _125008, plus(_125010, _125004)))], (326 ^ _114152) ^ [_125701, _125703, _125705, _125707, _125709] : [-(holdsAt(_125701, plus(_125707, _125703))), happens(_125709, _125707), terminates(_125709, _125705, _125707), less(n0, _125703), antitrajectory(_125705, _125707, _125701, _125703), -(startedIn(_125707, _125705, plus(_125707, _125703)))], (348 ^ _114152) ^ [_126356, _126358] : [-(holdsAt(_126358, plus(_126356, n1))), holdsAt(_126358, _126356), -(releasedAt(_126358, plus(_126356, n1))), 358 ^ _114152 : [(359 ^ _114152) ^ [] : [-(happens(357 ^ [_126356, _126358], _126356))], (361 ^ _114152) ^ [] : [-(terminates(357 ^ [_126356, _126358], _126358, _126356))]]], (365 ^ _114152) ^ [_126910, _126912] : [holdsAt(_126912, plus(_126910, n1)), -(holdsAt(_126912, _126910)), -(releasedAt(_126912, plus(_126910, n1))), 375 ^ _114152 : [(376 ^ _114152) ^ [] : [-(happens(374 ^ [_126910, _126912], _126910))], (378 ^ _114152) ^ [] : [-(initiates(374 ^ [_126910, _126912], _126912, _126910))]]], (382 ^ _114152) ^ [_127468, _127470] : [-(releasedAt(_127470, plus(_127468, n1))), releasedAt(_127470, _127468), 388 ^ _114152 : [(389 ^ _114152) ^ [] : [-(happens(387 ^ [_127468, _127470], _127468))], (391 ^ _114152) ^ [] : [-(initiates(387 ^ [_127468, _127470], _127470, _127468)), -(terminates(387 ^ [_127468, _127470], _127470, _127468))]]], (399 ^ _114152) ^ [_128030, _128032] : [releasedAt(_128032, plus(_128030, n1)), -(releasedAt(_128032, _128030)), 405 ^ _114152 : [(406 ^ _114152) ^ [] : [-(happens(404 ^ [_128030, _128032], _128030))], (408 ^ _114152) ^ [] : [-(releases(404 ^ [_128030, _128032], _128032, _128030))]]], (412 ^ _114152) ^ [_128504, _128506, _128508] : [-(holdsAt(_128504, plus(_128506, n1))), happens(_128508, _128506), initiates(_128508, _128504, _128506)], (422 ^ _114152) ^ [_128835, _128837, _128839] : [holdsAt(_128835, plus(_128837, n1)), happens(_128839, _128837), terminates(_128839, _128835, _128837)], (432 ^ _114152) ^ [_129167, _129169, _129171] : [-(releasedAt(_129167, plus(_129169, n1))), happens(_129171, _129169), releases(_129171, _129167, _129169)], (442 ^ _114152) ^ [_129478, _129480, _129482] : [releasedAt(_129478, plus(_129480, n1)), happens(_129482, _129480), 447 ^ _114152 : [(448 ^ _114152) ^ [] : [initiates(_129482, _129478, _129480)], (450 ^ _114152) ^ [] : [terminates(_129482, _129478, _129480)]]], (651 ^ _114152) ^ [] : [-(plus(n0, n0) = n0)], (653 ^ _114152) ^ [] : [-(plus(n0, n1) = n1)], (655 ^ _114152) ^ [] : [-(plus(n0, n2) = n2)], (657 ^ _114152) ^ [] : [-(plus(n0, n3) = n3)], (659 ^ _114152) ^ [] : [-(plus(n1, n1) = n2)], (661 ^ _114152) ^ [] : [-(plus(n1, n2) = n3)], (663 ^ _114152) ^ [] : [-(plus(n1, n3) = n4)], (665 ^ _114152) ^ [] : [-(plus(n2, n2) = n4)], (667 ^ _114152) ^ [] : [-(plus(n2, n3) = n5)], (669 ^ _114152) ^ [] : [-(plus(n3, n3) = n6)], (671 ^ _114152) ^ [_137001, _137003] : [-(plus(_137003, _137001) = plus(_137001, _137003))], (683 ^ _114152) ^ [_137397, _137399] : [684 ^ _114152 : [(685 ^ _114152) ^ [] : [less(_137399, _137397)], (687 ^ _114152) ^ [] : [_137399 = _137397]], -(less_or_equal(_137399, _137397))], (673 ^ _114152) ^ [_137145, _137147] : [less_or_equal(_137147, _137145), -(less(_137147, _137145)), -(_137147 = _137145)], (691 ^ _114152) ^ [_137653] : [less(_137653, n0)], (693 ^ _114152) ^ [_137775] : [less(_137775, n1), -(less_or_equal(_137775, n0))], (699 ^ _114152) ^ [_137931] : [less_or_equal(_137931, n0), -(less(_137931, n1))], (705 ^ _114152) ^ [_138152] : [less(_138152, n2), -(less_or_equal(_138152, n1))], (711 ^ _114152) ^ [_138308] : [less_or_equal(_138308, n1), -(less(_138308, n2))], (717 ^ _114152) ^ [_138529] : [less(_138529, n3), -(less_or_equal(_138529, n2))], (723 ^ _114152) ^ [_138685] : [less_or_equal(_138685, n2), -(less(_138685, n3))], (729 ^ _114152) ^ [_138906] : [less(_138906, n4), -(less_or_equal(_138906, n3))], (735 ^ _114152) ^ [_139062] : [less_or_equal(_139062, n3), -(less(_139062, n4))], (741 ^ _114152) ^ [_139283] : [less(_139283, n5), -(less_or_equal(_139283, n4))], (747 ^ _114152) ^ [_139439] : [less_or_equal(_139439, n4), -(less(_139439, n5))], (753 ^ _114152) ^ [_139660] : [less(_139660, n6), -(less_or_equal(_139660, n5))], (759 ^ _114152) ^ [_139816] : [less_or_equal(_139816, n5), -(less(_139816, n6))], (765 ^ _114152) ^ [_140037] : [less(_140037, n7), -(less_or_equal(_140037, n6))], (771 ^ _114152) ^ [_140193] : [less_or_equal(_140193, n6), -(less(_140193, n7))], (777 ^ _114152) ^ [_140414] : [less(_140414, n8), -(less_or_equal(_140414, n7))], (783 ^ _114152) ^ [_140570] : [less_or_equal(_140570, n7), -(less(_140570, n8))], (789 ^ _114152) ^ [_140791] : [less(_140791, n9), -(less_or_equal(_140791, n8))], (795 ^ _114152) ^ [_140947] : [less_or_equal(_140947, n8), -(less(_140947, n9))], (819 ^ _114152) ^ [] : [-(holdsAt(waterLevel(n0), n0))], (821 ^ _114152) ^ [] : [holdsAt(filling, n0)], (823 ^ _114152) ^ [] : [holdsAt(spilling, n0)], (825 ^ _114152) ^ [_141855] : [releasedAt(waterLevel(_141855), n0)], (827 ^ _114152) ^ [] : [releasedAt(filling, n0)], (829 ^ _114152) ^ [] : [releasedAt(spilling, n0)], (831 ^ _114152) ^ [] : [-(holdsAt(waterLevel(n3), n3))], (833 ^ _114152) ^ [] : [-(holdsAt(filling, n3))], (801 ^ _114152) ^ [_141182, _141184] : [less(_141184, _141182), 804 ^ _114152 : [(805 ^ _114152) ^ [] : [less(_141182, _141184)], (807 ^ _114152) ^ [] : [_141182 = _141184]]], (809 ^ _114152) ^ [_141421, _141423] : [-(less(_141423, _141421)), -(less(_141421, _141423)), -(_141421 = _141423)], (454 ^ _114152) ^ [_129963, _129965, _129967] : [initiates(_129967, _129965, _129963), 459 ^ _114152 : [(460 ^ _114152) ^ [] : [-(_129967 = tapOn)], (462 ^ _114152) ^ [] : [-(_129965 = filling)]], 465 ^ _114152 : [(466 ^ _114152) ^ [] : [-(_129967 = overflow)], (468 ^ _114152) ^ [] : [-(_129965 = spilling)]], 472 ^ _114152 : [(473 ^ _114152) ^ [] : [-(holdsAt(waterLevel(471 ^ [_129963, _129965, _129967]), _129963))], (475 ^ _114152) ^ [] : [-(_129967 = tapOff)], (477 ^ _114152) ^ [] : [-(_129965 = waterLevel(471 ^ [_129963, _129965, _129967]))]], 479 ^ _114152 : [(480 ^ _114152) ^ [] : [-(holdsAt(waterLevel(478 ^ [_129963, _129965, _129967]), _129963))], (482 ^ _114152) ^ [] : [-(_129967 = overflow)], (484 ^ _114152) ^ [] : [-(_129965 = waterLevel(478 ^ [_129963, _129965, _129967]))]]], (486 ^ _114152) ^ [_131067, _131069, _131071] : [-(initiates(_131071, _131069, _131067)), 487 ^ _114152 : [(488 ^ _114152) ^ [] : [_131071 = tapOn, _131069 = filling], (494 ^ _114152) ^ [] : [_131071 = overflow, _131069 = spilling], (500 ^ _114152) ^ [_131551] : [holdsAt(waterLevel(_131551), _131067), _131071 = tapOff, _131069 = waterLevel(_131551)], (510 ^ _114152) ^ [_131849] : [holdsAt(waterLevel(_131849), _131067), _131071 = overflow, _131069 = waterLevel(_131849)]]], (522 ^ _114152) ^ [_132286, _132288, _132290] : [terminates(_132290, _132288, _132286), 527 ^ _114152 : [(528 ^ _114152) ^ [] : [-(_132290 = tapOff)], (530 ^ _114152) ^ [] : [-(_132288 = filling)]], 531 ^ _114152 : [(532 ^ _114152) ^ [] : [-(_132290 = overflow)], (534 ^ _114152) ^ [] : [-(_132288 = filling)]]], (536 ^ _114152) ^ [_132704, _132706, _132708] : [-(terminates(_132708, _132706, _132704)), 537 ^ _114152 : [(538 ^ _114152) ^ [] : [_132708 = tapOff, _132706 = filling], (544 ^ _114152) ^ [] : [_132708 = overflow, _132706 = filling]]], (552 ^ _114152) ^ [_133229, _133231, _133233] : [releases(_133233, _133231, _133229), 556 ^ _114152 : [(557 ^ _114152) ^ [] : [-(_133233 = tapOn)], (559 ^ _114152) ^ [] : [-(_133231 = waterLevel(555 ^ [_133229, _133231, _133233]))]]], (561 ^ _114152) ^ [_133551, _133553, _133555] : [-(releases(_133555, _133553, _133551)), 562 ^ _114152 : [(563 ^ _114152) ^ [_133648] : [_133555 = tapOn, _133553 = waterLevel(_133648)]]], (571 ^ _114152) ^ [_133964, _133966] : [happens(_133966, _133964), 576 ^ _114152 : [(577 ^ _114152) ^ [] : [-(_133966 = tapOn)], (579 ^ _114152) ^ [] : [-(_133964 = n0)]], 580 ^ _114152 : [(581 ^ _114152) ^ [] : [-(holdsAt(waterLevel(n3), _133964))], (583 ^ _114152) ^ [] : [-(holdsAt(filling, _133964))], (585 ^ _114152) ^ [] : [-(_133966 = overflow)]]], (587 ^ _114152) ^ [_134440, _134442] : [-(happens(_134442, _134440)), 588 ^ _114152 : [(589 ^ _114152) ^ [] : [_134442 = tapOn, _134440 = n0], (595 ^ _114152) ^ [] : [holdsAt(waterLevel(n3), _134440), holdsAt(filling, _134440), _134442 = overflow]]], (607 ^ _114152) ^ [_135021, _135023, _135025, _135027] : [-(trajectory(filling, _135025, waterLevel(_135023), _135021)), holdsAt(waterLevel(_135027), _135025), _135023 = plus(_135027, _135021)], (617 ^ _114152) ^ [_135372, _135374, _135376] : [-(_135374 = _135372), holdsAt(waterLevel(_135374), _135376), holdsAt(waterLevel(_135372), _135376)], (627 ^ _114152) ^ [] : [tapOff = tapOn], (629 ^ _114152) ^ [] : [tapOff = overflow], (631 ^ _114152) ^ [] : [overflow = tapOn], (633 ^ _114152) ^ [_135815] : [filling = waterLevel(_135815)], (635 ^ _114152) ^ [_135894] : [spilling = waterLevel(_135894)], (637 ^ _114152) ^ [] : [filling = spilling], (639 ^ _114152) ^ [_136064, _136066] : [waterLevel(_136066) = waterLevel(_136064), -(_136066 = _136064)], (645 ^ _114152) ^ [_136234, _136236] : [_136236 = _136234, -(waterLevel(_136236) = waterLevel(_136234))]], input).
% 0.34/1.39  ncf('1',plain,[happens(overflow, n3)],start(835 ^ 0)).
% 0.34/1.39  ncf('1.1',plain,[-(happens(overflow, n3)), 595 : holdsAt(waterLevel(n3), n3), 595 : holdsAt(filling, n3), 595 : overflow = overflow],extension(587 ^ 1,bind([[_134440, _134442], [n3, overflow]]))).
% 0.34/1.39  ncf('1.1.1',plain,[-(holdsAt(waterLevel(n3), n3))],extension(831 ^ 4)).
% 0.34/1.39  ncf('1.1.2',plain,[-(holdsAt(filling, n3))],extension(833 ^ 4)).
% 0.34/1.39  ncf('1.1.3',plain,[-(overflow = overflow)],extension(2 ^ 4,bind([[_114296], [overflow]]))).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------