TSTP Solution File: RNG111+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG111+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:49:51 EDT 2023
% Result : Theorem 1.60s 2.41s
% Output : Proof 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : RNG111+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n010.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 : Thu May 18 20:20:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.60/2.41
% 1.60/2.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.60/2.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/2.41 %-----------------------------------------------------
% 1.60/2.41 ncf(matrix, plain, [(950 ^ _123720) ^ [] : [-(aElementOf0(948 ^ [], xI))], (952 ^ _123720) ^ [] : [948 ^ [] = sz00], (981 ^ _123720) ^ [_156639] : [aElementOf0(_156639, xI), -(_156639 = sz00), 989 ^ _123720 : [(990 ^ _123720) ^ [] : [-(aElementOf0(988 ^ [_156639], xI))], (992 ^ _123720) ^ [] : [988 ^ [_156639] = sz00], (994 ^ _123720) ^ [] : [-(iLess0(sbrdtbr0(988 ^ [_156639]), sbrdtbr0(_156639)))]]], (954 ^ _123720) ^ [_155779] : [aElementOf0(_155779, xI), -(_155779 = sz00), iLess0(sbrdtbr0(_155779), sbrdtbr0(948 ^ [])), 966 ^ _123720 : [(967 ^ _123720) ^ [] : [-(aElementOf0(965 ^ [_155779], xI))], (969 ^ _123720) ^ [] : [965 ^ [_155779] = sz00], (971 ^ _123720) ^ [_156335] : [iLess0(sbrdtbr0(_156335), sbrdtbr0(965 ^ [_155779])), aElementOf0(_156335, xI), -(_156335 = sz00)]]], (166 ^ _123720) ^ [_129140, _129142, _129144, _129146] : [-(sdtasasdt0(_129146, _129142) = sdtasasdt0(_129144, _129140)), _129146 = _129144, _129142 = _129140], (176 ^ _123720) ^ [_129471, _129473] : [_129473 = _129471, -(smndt0(_129473) = smndt0(_129471))], (182 ^ _123720) ^ [_129717, _129719, _129721, _129723] : [-(sdtpldt0(_129723, _129719) = sdtpldt0(_129721, _129717)), _129723 = _129721, _129719 = _129717], (192 ^ _123720) ^ [_130076, _130078, _130080, _130082] : [-(sdtasdt0(_130082, _130078) = sdtasdt0(_130080, _130076)), _130082 = _130080, _130078 = _130076], (202 ^ _123720) ^ [_130435, _130437, _130439, _130441] : [-(sdtpldt1(_130441, _130437) = sdtpldt1(_130439, _130435)), _130441 = _130439, _130437 = _130435], (212 ^ _123720) ^ [_130766, _130768] : [_130768 = _130766, -(slsdtgt0(_130768) = slsdtgt0(_130766))], (218 ^ _123720) ^ [_130964, _130966] : [_130966 = _130964, -(sbrdtbr0(_130966) = sbrdtbr0(_130964))], (2 ^ _123720) ^ [_123864] : [-(_123864 = _123864)], (4 ^ _123720) ^ [_123971, _123973] : [_123973 = _123971, -(_123971 = _123973)], (10 ^ _123720) ^ [_124175, _124177, _124179] : [-(_124179 = _124175), _124179 = _124177, _124177 = _124175], (20 ^ _123720) ^ [_124544, _124546, _124548, _124550, _124552, _124554] : [-(sdteqdtlpzmzozddtrp0(_124552, _124548, _124544)), sdteqdtlpzmzozddtrp0(_124554, _124550, _124546), _124554 = _124552, _124550 = _124548, _124546 = _124544], (38 ^ _123720) ^ [_125097, _125099] : [-(aNaturalNumber0(_125097)), _125099 = _125097, aNaturalNumber0(_125099)], (48 ^ _123720) ^ [_125420, _125422, _125424, _125426] : [-(aDivisorOf0(_125424, _125420)), aDivisorOf0(_125426, _125422), _125426 = _125424, _125422 = _125420], (62 ^ _123720) ^ [_125864, _125866, _125868, _125870] : [-(doDivides0(_125868, _125864)), doDivides0(_125870, _125866), _125870 = _125868, _125866 = _125864], (76 ^ _123720) ^ [_126308, _126310, _126312, _126314] : [-(misRelativelyPrime0(_126312, _126308)), misRelativelyPrime0(_126314, _126310), _126314 = _126312, _126310 = _126308], (90 ^ _123720) ^ [_126724, _126726] : [-(aSet0(_126724)), _126726 = _126724, aSet0(_126726)], (100 ^ _123720) ^ [_127019, _127021] : [-(aElement0(_127019)), _127021 = _127019, aElement0(_127021)], (110 ^ _123720) ^ [_127370, _127372, _127374, _127376, _127378, _127380] : [-(aGcdOfAnd0(_127378, _127374, _127370)), aGcdOfAnd0(_127380, _127376, _127372), _127380 = _127378, _127376 = _127374, _127372 = _127370], (128 ^ _123720) ^ [_127923, _127925] : [-(aIdeal0(_127923)), _127925 = _127923, aIdeal0(_127925)], (138 ^ _123720) ^ [_128246, _128248, _128250, _128252] : [-(aElementOf0(_128250, _128246)), aElementOf0(_128252, _128248), _128252 = _128250, _128248 = _128246], (152 ^ _123720) ^ [_128670, _128672, _128674, _128676] : [-(iLess0(_128674, _128670)), iLess0(_128676, _128672), _128676 = _128674, _128672 = _128670], (224 ^ _123720) ^ [_131226] : [aElement0(_131226), true___, -(true___)], (234 ^ _123720) ^ [] : [-(aElement0(sz00))], (236 ^ _123720) ^ [] : [-(aElement0(sz10))], (238 ^ _123720) ^ [_131587] : [aElement0(_131587), -(aElement0(smndt0(_131587)))], (244 ^ _123720) ^ [_131791, _131793] : [-(aElement0(sdtpldt0(_131793, _131791))), aElement0(_131793), aElement0(_131791)], (254 ^ _123720) ^ [_132090, _132092] : [-(aElement0(sdtasdt0(_132092, _132090))), aElement0(_132092), aElement0(_132090)], (264 ^ _123720) ^ [_132389, _132391] : [-(sdtpldt0(_132391, _132389) = sdtpldt0(_132389, _132391)), aElement0(_132391), aElement0(_132389)], (274 ^ _123720) ^ [_132710, _132712, _132714] : [-(sdtpldt0(sdtpldt0(_132714, _132712), _132710) = sdtpldt0(_132714, sdtpldt0(_132712, _132710))), aElement0(_132714), aElement0(_132712), aElement0(_132710)], (288 ^ _123720) ^ [_133116] : [aElement0(_133116), 291 ^ _123720 : [(292 ^ _123720) ^ [] : [-(sdtpldt0(_133116, sz00) = _133116)], (294 ^ _123720) ^ [] : [-(_133116 = sdtpldt0(sz00, _133116))]]], (296 ^ _123720) ^ [_133389] : [aElement0(_133389), 299 ^ _123720 : [(300 ^ _123720) ^ [] : [-(sdtpldt0(_133389, smndt0(_133389)) = sz00)], (302 ^ _123720) ^ [] : [-(sz00 = sdtpldt0(smndt0(_133389), _133389))]]], (304 ^ _123720) ^ [_133684, _133686] : [-(sdtasdt0(_133686, _133684) = sdtasdt0(_133684, _133686)), aElement0(_133686), aElement0(_133684)], (314 ^ _123720) ^ [_134005, _134007, _134009] : [-(sdtasdt0(sdtasdt0(_134009, _134007), _134005) = sdtasdt0(_134009, sdtasdt0(_134007, _134005))), aElement0(_134009), aElement0(_134007), aElement0(_134005)], (328 ^ _123720) ^ [_134411] : [aElement0(_134411), 331 ^ _123720 : [(332 ^ _123720) ^ [] : [-(sdtasdt0(_134411, sz10) = _134411)], (334 ^ _123720) ^ [] : [-(_134411 = sdtasdt0(sz10, _134411))]]], (336 ^ _123720) ^ [_134712, _134714, _134716] : [347 ^ _123720 : [(348 ^ _123720) ^ [] : [-(sdtasdt0(_134716, sdtpldt0(_134714, _134712)) = sdtpldt0(sdtasdt0(_134716, _134714), sdtasdt0(_134716, _134712)))], (350 ^ _123720) ^ [] : [-(sdtasdt0(sdtpldt0(_134714, _134712), _134716) = sdtpldt0(sdtasdt0(_134714, _134716), sdtasdt0(_134712, _134716)))]], aElement0(_134716), aElement0(_134714), aElement0(_134712)], (352 ^ _123720) ^ [_135231] : [aElement0(_135231), 355 ^ _123720 : [(356 ^ _123720) ^ [] : [-(sdtasdt0(smndt0(sz10), _135231) = smndt0(_135231))], (358 ^ _123720) ^ [] : [-(smndt0(_135231) = sdtasdt0(_135231, smndt0(sz10)))]]], (360 ^ _123720) ^ [_135512] : [aElement0(_135512), 363 ^ _123720 : [(364 ^ _123720) ^ [] : [-(sdtasdt0(_135512, sz00) = sz00)], (366 ^ _123720) ^ [] : [-(sz00 = sdtasdt0(sz00, _135512))]]], (368 ^ _123720) ^ [_135799, _135801] : [aElement0(_135801), aElement0(_135799), sdtasdt0(_135801, _135799) = sz00, -(_135801 = sz00), -(_135799 = sz00)], (386 ^ _123720) ^ [] : [sz10 = sz00], (388 ^ _123720) ^ [_136319] : [aSet0(_136319), true___, -(true___)], (398 ^ _123720) ^ [_136574] : [aSet0(_136574), 401 ^ _123720 : [(402 ^ _123720) ^ [_136704] : [aElementOf0(_136704, _136574), -(aElement0(_136704))]]], (408 ^ _123720) ^ [_136919, _136921] : [aSet0(_136921), aSet0(_136919), -(_136921 = _136919), 420 ^ _123720 : [(421 ^ _123720) ^ [] : [-(aElementOf0(419 ^ [_136919, _136921], _136921))], (423 ^ _123720) ^ [] : [aElementOf0(419 ^ [_136919, _136921], _136919)]], 425 ^ _123720 : [(426 ^ _123720) ^ [] : [-(aElementOf0(424 ^ [_136919, _136921], _136919))], (428 ^ _123720) ^ [] : [aElementOf0(424 ^ [_136919, _136921], _136921)]]], (432 ^ _123720) ^ [_137684, _137686] : [aSet0(_137686), aSet0(_137684), 439 ^ _123720 : [(472 ^ _123720) ^ [_139314] : [-(_139314 = sdtpldt1(_137686, _137684)), aSet0(_139314), 494 ^ _123720 : [(495 ^ _123720) ^ [] : [-(aElementOf0(492 ^ [_137684, _137686, _139314], _137686))], (497 ^ _123720) ^ [] : [-(aElementOf0(493 ^ [_137684, _137686, _139314], _137684))], (499 ^ _123720) ^ [] : [-(sdtpldt0(492 ^ [_137684, _137686, _139314], 493 ^ [_137684, _137686, _139314]) = 477 ^ [_137684, _137686, _139314])], (501 ^ _123720) ^ [] : [aElementOf0(477 ^ [_137684, _137686, _139314], _139314)]], 480 ^ _123720 : [(481 ^ _123720) ^ [] : [-(aElementOf0(477 ^ [_137684, _137686, _139314], _139314))], (483 ^ _123720) ^ [_139743, _139745] : [aElementOf0(_139745, _137686), aElementOf0(_139743, _137684), sdtpldt0(_139745, _139743) = 477 ^ [_137684, _137686, _139314]]]], (440 ^ _123720) ^ [_137979] : [_137979 = sdtpldt1(_137686, _137684), 443 ^ _123720 : [(444 ^ _123720) ^ [] : [-(aSet0(_137979))], (446 ^ _123720) ^ [_138256] : [aElementOf0(_138256, _137979), 451 ^ _123720 : [(452 ^ _123720) ^ [] : [-(aElementOf0(449 ^ [_137684, _137686, _137979, _138256], _137686))], (454 ^ _123720) ^ [] : [-(aElementOf0(450 ^ [_137684, _137686, _137979, _138256], _137684))], (456 ^ _123720) ^ [] : [-(sdtpldt0(449 ^ [_137684, _137686, _137979, _138256], 450 ^ [_137684, _137686, _137979, _138256]) = _138256)]]], (458 ^ _123720) ^ [_138816] : [-(aElementOf0(_138816, _137979)), 459 ^ _123720 : [(460 ^ _123720) ^ [_138946, _138948] : [aElementOf0(_138948, _137686), aElementOf0(_138946, _137684), sdtpldt0(_138948, _138946) = _138816]]]]]]], (505 ^ _123720) ^ [_140664, _140666] : [aSet0(_140666), aSet0(_140664), 512 ^ _123720 : [(537 ^ _123720) ^ [_141743] : [-(_141743 = sdtasasdt0(_140666, _140664)), aSet0(_141743), 553 ^ _123720 : [(554 ^ _123720) ^ [] : [-(aElementOf0(542 ^ [_140664, _140666, _141743], _140666))], (556 ^ _123720) ^ [] : [-(aElementOf0(542 ^ [_140664, _140666, _141743], _140664))], (558 ^ _123720) ^ [] : [aElementOf0(542 ^ [_140664, _140666, _141743], _141743)]], 545 ^ _123720 : [(546 ^ _123720) ^ [] : [-(aElementOf0(542 ^ [_140664, _140666, _141743], _141743))], (548 ^ _123720) ^ [] : [aElementOf0(542 ^ [_140664, _140666, _141743], _140666), aElementOf0(542 ^ [_140664, _140666, _141743], _140664)]]], (513 ^ _123720) ^ [_140940] : [_140940 = sdtasasdt0(_140666, _140664), 516 ^ _123720 : [(517 ^ _123720) ^ [] : [-(aSet0(_140940))], (519 ^ _123720) ^ [_141198] : [aElementOf0(_141198, _140940), 522 ^ _123720 : [(523 ^ _123720) ^ [] : [-(aElementOf0(_141198, _140666))], (525 ^ _123720) ^ [] : [-(aElementOf0(_141198, _140664))]]], (527 ^ _123720) ^ [_141457] : [-(aElementOf0(_141457, _140940)), aElementOf0(_141457, _140666), aElementOf0(_141457, _140664)]]]]], (584 ^ _123720) ^ [_143408] : [-(aIdeal0(_143408)), aSet0(_143408), 590 ^ _123720 : [(591 ^ _123720) ^ [] : [-(aElementOf0(589 ^ [_143408], _143408))], (593 ^ _123720) ^ [] : [595 ^ _123720 : [(596 ^ _123720) ^ [] : [-(aElementOf0(594 ^ [_143408], _143408))], (598 ^ _123720) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_143408], 594 ^ [_143408]), _143408)]], 600 ^ _123720 : [(601 ^ _123720) ^ [] : [-(aElement0(599 ^ [_143408]))], (603 ^ _123720) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_143408], 589 ^ [_143408]), _143408)]]]]], (562 ^ _123720) ^ [_142613] : [aIdeal0(_142613), 565 ^ _123720 : [(566 ^ _123720) ^ [] : [-(aSet0(_142613))], (568 ^ _123720) ^ [_142845] : [aElementOf0(_142845, _142613), 571 ^ _123720 : [(572 ^ _123720) ^ [_143026] : [aElementOf0(_143026, _142613), -(aElementOf0(sdtpldt0(_142845, _143026), _142613))], (578 ^ _123720) ^ [_143218] : [aElement0(_143218), -(aElementOf0(sdtasdt0(_143218, _142845), _142613))]]]]], (607 ^ _123720) ^ [_144248, _144250] : [-(aIdeal0(sdtpldt1(_144250, _144248))), aIdeal0(_144250), aIdeal0(_144248)], (617 ^ _123720) ^ [_144547, _144549] : [-(aIdeal0(sdtasasdt0(_144549, _144547))), aIdeal0(_144549), aIdeal0(_144547)], (627 ^ _123720) ^ [_144860, _144862, _144864] : [aElement0(_144864), aElement0(_144862), aIdeal0(_144860), 638 ^ _123720 : [(639 ^ _123720) ^ [] : [sdteqdtlpzmzozddtrp0(_144864, _144862, _144860), -(aElementOf0(sdtpldt0(_144864, smndt0(_144862)), _144860))], (645 ^ _123720) ^ [] : [aElementOf0(sdtpldt0(_144864, smndt0(_144862)), _144860), -(sdteqdtlpzmzozddtrp0(_144864, _144862, _144860))]]], (651 ^ _123720) ^ [_145538, _145540] : [aIdeal0(_145540), aIdeal0(_145538), 661 ^ _123720 : [(662 ^ _123720) ^ [] : [-(aElement0(660 ^ [_145538, _145540]))], (664 ^ _123720) ^ [] : [aElementOf0(660 ^ [_145538, _145540], sdtpldt1(_145540, _145538))]], 665 ^ _123720 : [(666 ^ _123720) ^ [_146036, _146038] : [674 ^ _123720 : [(675 ^ _123720) ^ [] : [-(aElement0(673 ^ [_145538, _145540, _146036, _146038]))], (677 ^ _123720) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_145538, _145540, _146036, _146038], _146038, _145540))], (679 ^ _123720) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_145538, _145540, _146036, _146038], _146036, _145538))]], aElement0(_146038), aElement0(_146036)]]], (681 ^ _123720) ^ [_146616] : [aNaturalNumber0(_146616), true___, -(true___)], (691 ^ _123720) ^ [_146871] : [-(aNaturalNumber0(sbrdtbr0(_146871))), aElement0(_146871), -(_146871 = sz00)], (701 ^ _123720) ^ [_147163, _147165] : [aNaturalNumber0(_147165), aNaturalNumber0(_147163), iLess0(_147165, _147163), true___, -(true___)], (719 ^ _123720) ^ [_147623, _147625] : [732 ^ _123720 : [(733 ^ _123720) ^ [] : [-(aElement0(730 ^ [_147623, _147625]))], (735 ^ _123720) ^ [] : [-(aElement0(731 ^ [_147623, _147625]))], (737 ^ _123720) ^ [] : [-(_147625 = sdtpldt0(sdtasdt0(730 ^ [_147623, _147625], _147623), 731 ^ [_147623, _147625]))], (739 ^ _123720) ^ [] : [-(731 ^ [_147623, _147625] = sz00), -(iLess0(sbrdtbr0(731 ^ [_147623, _147625]), sbrdtbr0(_147623)))]], aElement0(_147625), aElement0(_147623), -(_147623 = sz00)], (745 ^ _123720) ^ [_148570, _148572] : [aElement0(_148572), aElement0(_148570), 752 ^ _123720 : [(753 ^ _123720) ^ [] : [doDivides0(_148572, _148570), 757 ^ _123720 : [(758 ^ _123720) ^ [] : [-(aElement0(756 ^ [_148570, _148572]))], (760 ^ _123720) ^ [] : [-(sdtasdt0(_148572, 756 ^ [_148570, _148572]) = _148570)]]], (762 ^ _123720) ^ [] : [-(doDivides0(_148572, _148570)), 763 ^ _123720 : [(764 ^ _123720) ^ [_149130] : [aElement0(_149130), sdtasdt0(_148572, _149130) = _148570]]]]], (772 ^ _123720) ^ [_149399] : [aElement0(_149399), 775 ^ _123720 : [(776 ^ _123720) ^ [_149564] : [aDivisorOf0(_149564, _149399), 779 ^ _123720 : [(780 ^ _123720) ^ [] : [-(aElement0(_149564))], (782 ^ _123720) ^ [] : [-(doDivides0(_149564, _149399))]]], (784 ^ _123720) ^ [_149801] : [-(aDivisorOf0(_149801, _149399)), aElement0(_149801), doDivides0(_149801, _149399)]]], (794 ^ _123720) ^ [_150107, _150109] : [aElement0(_150109), aElement0(_150107), 801 ^ _123720 : [(802 ^ _123720) ^ [_150388] : [aGcdOfAnd0(_150388, _150109, _150107), 805 ^ _123720 : [(806 ^ _123720) ^ [] : [-(aDivisorOf0(_150388, _150109))], (808 ^ _123720) ^ [] : [-(aDivisorOf0(_150388, _150107))], (810 ^ _123720) ^ [_150689] : [-(doDivides0(_150689, _150388)), aDivisorOf0(_150689, _150109), aDivisorOf0(_150689, _150107)]]], (820 ^ _123720) ^ [_150975] : [-(aGcdOfAnd0(_150975, _150109, _150107)), aDivisorOf0(_150975, _150109), aDivisorOf0(_150975, _150107), 830 ^ _123720 : [(831 ^ _123720) ^ [] : [-(aDivisorOf0(829 ^ [_150107, _150109, _150975], _150109))], (833 ^ _123720) ^ [] : [-(aDivisorOf0(829 ^ [_150107, _150109, _150975], _150107))], (835 ^ _123720) ^ [] : [doDivides0(829 ^ [_150107, _150109, _150975], _150975)]]]]], (839 ^ _123720) ^ [_151640, _151642] : [aElement0(_151642), aElement0(_151640), 846 ^ _123720 : [(847 ^ _123720) ^ [] : [misRelativelyPrime0(_151642, _151640), -(aGcdOfAnd0(sz10, _151642, _151640))], (853 ^ _123720) ^ [] : [aGcdOfAnd0(sz10, _151642, _151640), -(misRelativelyPrime0(_151642, _151640))]]], (914 ^ _123720) ^ [_154239] : [aElement0(_154239), -(aIdeal0(slsdtgt0(_154239)))], (920 ^ _123720) ^ [] : [-(aElement0(xa))], (922 ^ _123720) ^ [] : [-(aElement0(xb))], (930 ^ _123720) ^ [] : [-(aGcdOfAnd0(xc, xa, xb))], (932 ^ _123720) ^ [] : [-(aIdeal0(xI))], (934 ^ _123720) ^ [] : [-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))], (936 ^ _123720) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xa)))], (938 ^ _123720) ^ [] : [-(aElementOf0(xa, slsdtgt0(xa)))], (940 ^ _123720) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xb)))], (942 ^ _123720) ^ [] : [-(aElementOf0(xb, slsdtgt0(xb)))], (945 ^ _123720) ^ [] : [-(aElementOf0(943 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))], (947 ^ _123720) ^ [] : [943 ^ [] = sz00], (924 ^ _123720) ^ [] : [xa = sz00, xb = sz00], (859 ^ _123720) ^ [_152176] : [aElement0(_152176), 862 ^ _123720 : [(888 ^ _123720) ^ [_153300] : [-(_153300 = slsdtgt0(_152176)), aSet0(_153300), 905 ^ _123720 : [(906 ^ _123720) ^ [] : [-(aElement0(904 ^ [_152176, _153300]))], (908 ^ _123720) ^ [] : [-(sdtasdt0(_152176, 904 ^ [_152176, _153300]) = 893 ^ [_152176, _153300])], (910 ^ _123720) ^ [] : [aElementOf0(893 ^ [_152176, _153300], _153300)]], 896 ^ _123720 : [(897 ^ _123720) ^ [] : [-(aElementOf0(893 ^ [_152176, _153300], _153300))], (899 ^ _123720) ^ [_153672] : [aElement0(_153672), sdtasdt0(_152176, _153672) = 893 ^ [_152176, _153300]]]], (863 ^ _123720) ^ [_152367] : [_152367 = slsdtgt0(_152176), 866 ^ _123720 : [(867 ^ _123720) ^ [] : [-(aSet0(_152367))], (869 ^ _123720) ^ [_152622] : [aElementOf0(_152622, _152367), 873 ^ _123720 : [(874 ^ _123720) ^ [] : [-(aElement0(872 ^ [_152176, _152367, _152622]))], (876 ^ _123720) ^ [] : [-(sdtasdt0(_152176, 872 ^ [_152176, _152367, _152622]) = _152622)]]], (878 ^ _123720) ^ [_152955] : [-(aElementOf0(_152955, _152367)), 879 ^ _123720 : [(880 ^ _123720) ^ [_153055] : [aElement0(_153055), sdtasdt0(_152176, _153055) = _152955]]]]]]]], input).
% 1.60/2.41 ncf('1',plain,[948 ^ [] = sz00],start(952 ^ 0)).
% 1.60/2.41 ncf('1.1',plain,[-(948 ^ [] = sz00), aElementOf0(948 ^ [], xI), 990 : -(aElementOf0(988 ^ [948 ^ []], xI))],extension(981 ^ 1,bind([[_156639], [948 ^ []]]))).
% 1.60/2.41 ncf('1.1.1',plain,[-(aElementOf0(948 ^ [], xI))],extension(950 ^ 2)).
% 1.60/2.41 ncf('1.1.2',plain,[aElementOf0(988 ^ [948 ^ []], xI), -(988 ^ [948 ^ []] = sz00), iLess0(sbrdtbr0(988 ^ [948 ^ []]), sbrdtbr0(948 ^ [])), 971 : iLess0(sbrdtbr0(988 ^ [965 ^ [988 ^ [948 ^ []]]]), sbrdtbr0(965 ^ [988 ^ [948 ^ []]])), 971 : aElementOf0(988 ^ [965 ^ [988 ^ [948 ^ []]]], xI), 971 : -(988 ^ [965 ^ [988 ^ [948 ^ []]]] = sz00)],extension(954 ^ 4,bind([[_155779, _156335], [988 ^ [948 ^ []], 988 ^ [965 ^ [988 ^ [948 ^ []]]]]]))).
% 1.60/2.41 ncf('1.1.2.1',plain,[988 ^ [948 ^ []] = sz00],extension(992 ^ 5)).
% 1.60/2.41 ncf('1.1.2.2',plain,[-(iLess0(sbrdtbr0(988 ^ [948 ^ []]), sbrdtbr0(948 ^ [])))],extension(994 ^ 5)).
% 1.60/2.41 ncf('1.1.2.3',plain,[-(iLess0(sbrdtbr0(988 ^ [965 ^ [988 ^ [948 ^ []]]]), sbrdtbr0(965 ^ [988 ^ [948 ^ []]]))), aElementOf0(965 ^ [988 ^ [948 ^ []]], xI), -(965 ^ [988 ^ [948 ^ []]] = sz00)],extension(981 ^ 7,bind([[_156639], [965 ^ [988 ^ [948 ^ []]]]]))).
% 1.60/2.41 ncf('1.1.2.3.1',plain,[-(aElementOf0(965 ^ [988 ^ [948 ^ []]], xI))],extension(967 ^ 8)).
% 1.60/2.41 ncf('1.1.2.3.2',plain,[965 ^ [988 ^ [948 ^ []]] = sz00],extension(969 ^ 8)).
% 1.60/2.41 ncf('1.1.2.4',plain,[-(aElementOf0(988 ^ [965 ^ [988 ^ [948 ^ []]]], xI)), aElementOf0(965 ^ [988 ^ [948 ^ []]], xI), -(965 ^ [988 ^ [948 ^ []]] = sz00)],extension(981 ^ 7,bind([[_156639], [965 ^ [988 ^ [948 ^ []]]]]))).
% 1.60/2.41 ncf('1.1.2.4.1',plain,[-(aElementOf0(965 ^ [988 ^ [948 ^ []]], xI))],extension(967 ^ 8)).
% 1.60/2.41 ncf('1.1.2.4.2',plain,[965 ^ [988 ^ [948 ^ []]] = sz00],extension(969 ^ 8)).
% 1.60/2.41 ncf('1.1.2.5',plain,[988 ^ [965 ^ [988 ^ [948 ^ []]]] = sz00, aElementOf0(965 ^ [988 ^ [948 ^ []]], xI), -(965 ^ [988 ^ [948 ^ []]] = sz00)],extension(981 ^ 7,bind([[_156639], [965 ^ [988 ^ [948 ^ []]]]]))).
% 1.60/2.41 ncf('1.1.2.5.1',plain,[-(aElementOf0(965 ^ [988 ^ [948 ^ []]], xI))],extension(967 ^ 8)).
% 1.60/2.41 ncf('1.1.2.5.2',plain,[965 ^ [988 ^ [948 ^ []]] = sz00],extension(969 ^ 8)).
% 1.60/2.41 %-----------------------------------------------------
% 1.60/2.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------