TSTP Solution File: RNG125+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 11:49:54 EDT 2023
% Result : Theorem 1.19s 1.38s
% Output : Proof 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 20:15:32 EDT 2023
% 0.11/0.33 % CPUTime :
% 1.19/1.38
% 1.19/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.19/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.19/1.38 %-----------------------------------------------------
% 1.19/1.38 ncf(matrix, plain, [(981 ^ _123802) ^ [] : [false___, -(false___)], (166 ^ _123802) ^ [_129222, _129224, _129226, _129228] : [-(sdtasasdt0(_129228, _129224) = sdtasasdt0(_129226, _129222)), _129228 = _129226, _129224 = _129222], (176 ^ _123802) ^ [_129553, _129555] : [_129555 = _129553, -(smndt0(_129555) = smndt0(_129553))], (182 ^ _123802) ^ [_129799, _129801, _129803, _129805] : [-(sdtpldt1(_129805, _129801) = sdtpldt1(_129803, _129799)), _129805 = _129803, _129801 = _129799], (192 ^ _123802) ^ [_130130, _130132] : [_130132 = _130130, -(slsdtgt0(_130132) = slsdtgt0(_130130))], (198 ^ _123802) ^ [_130348, _130350] : [_130350 = _130348, -(sbrdtbr0(_130350) = sbrdtbr0(_130348))], (204 ^ _123802) ^ [_130594, _130596, _130598, _130600] : [-(sdtpldt0(_130600, _130596) = sdtpldt0(_130598, _130594)), _130600 = _130598, _130596 = _130594], (214 ^ _123802) ^ [_130933, _130935, _130937, _130939] : [-(sdtasdt0(_130939, _130935) = sdtasdt0(_130937, _130933)), _130939 = _130937, _130935 = _130933], (2 ^ _123802) ^ [_123946] : [-(_123946 = _123946)], (4 ^ _123802) ^ [_124053, _124055] : [_124055 = _124053, -(_124053 = _124055)], (10 ^ _123802) ^ [_124257, _124259, _124261] : [-(_124261 = _124257), _124261 = _124259, _124259 = _124257], (20 ^ _123802) ^ [_124626, _124628, _124630, _124632, _124634, _124636] : [-(sdteqdtlpzmzozddtrp0(_124634, _124630, _124626)), sdteqdtlpzmzozddtrp0(_124636, _124632, _124628), _124636 = _124634, _124632 = _124630, _124628 = _124626], (38 ^ _123802) ^ [_125179, _125181] : [-(aNaturalNumber0(_125179)), _125181 = _125179, aNaturalNumber0(_125181)], (48 ^ _123802) ^ [_125502, _125504, _125506, _125508] : [-(misRelativelyPrime0(_125506, _125502)), misRelativelyPrime0(_125508, _125504), _125508 = _125506, _125504 = _125502], (62 ^ _123802) ^ [_125918, _125920] : [-(aSet0(_125918)), _125920 = _125918, aSet0(_125920)], (72 ^ _123802) ^ [_126269, _126271, _126273, _126275, _126277, _126279] : [-(aGcdOfAnd0(_126277, _126273, _126269)), aGcdOfAnd0(_126279, _126275, _126271), _126279 = _126277, _126275 = _126273, _126271 = _126269], (90 ^ _123802) ^ [_126822, _126824] : [-(aIdeal0(_126822)), _126824 = _126822, aIdeal0(_126824)], (100 ^ _123802) ^ [_127145, _127147, _127149, _127151] : [-(aElementOf0(_127149, _127145)), aElementOf0(_127151, _127147), _127151 = _127149, _127147 = _127145], (114 ^ _123802) ^ [_127589, _127591, _127593, _127595] : [-(iLess0(_127593, _127589)), iLess0(_127595, _127591), _127595 = _127593, _127591 = _127589], (128 ^ _123802) ^ [_128033, _128035, _128037, _128039] : [-(aDivisorOf0(_128037, _128033)), aDivisorOf0(_128039, _128035), _128039 = _128037, _128035 = _128033], (142 ^ _123802) ^ [_128449, _128451] : [-(aElement0(_128449)), _128451 = _128449, aElement0(_128451)], (152 ^ _123802) ^ [_128752, _128754, _128756, _128758] : [-(doDivides0(_128756, _128752)), doDivides0(_128758, _128754), _128758 = _128756, _128754 = _128752], (224 ^ _123802) ^ [_131308] : [aElement0(_131308), true___, -(true___)], (234 ^ _123802) ^ [] : [-(aElement0(sz00))], (236 ^ _123802) ^ [] : [-(aElement0(sz10))], (238 ^ _123802) ^ [_131669] : [aElement0(_131669), -(aElement0(smndt0(_131669)))], (244 ^ _123802) ^ [_131873, _131875] : [-(aElement0(sdtpldt0(_131875, _131873))), aElement0(_131875), aElement0(_131873)], (254 ^ _123802) ^ [_132172, _132174] : [-(aElement0(sdtasdt0(_132174, _132172))), aElement0(_132174), aElement0(_132172)], (264 ^ _123802) ^ [_132471, _132473] : [-(sdtpldt0(_132473, _132471) = sdtpldt0(_132471, _132473)), aElement0(_132473), aElement0(_132471)], (274 ^ _123802) ^ [_132792, _132794, _132796] : [-(sdtpldt0(sdtpldt0(_132796, _132794), _132792) = sdtpldt0(_132796, sdtpldt0(_132794, _132792))), aElement0(_132796), aElement0(_132794), aElement0(_132792)], (288 ^ _123802) ^ [_133198] : [aElement0(_133198), 291 ^ _123802 : [(292 ^ _123802) ^ [] : [-(sdtpldt0(_133198, sz00) = _133198)], (294 ^ _123802) ^ [] : [-(_133198 = sdtpldt0(sz00, _133198))]]], (296 ^ _123802) ^ [_133471] : [aElement0(_133471), 299 ^ _123802 : [(300 ^ _123802) ^ [] : [-(sdtpldt0(_133471, smndt0(_133471)) = sz00)], (302 ^ _123802) ^ [] : [-(sz00 = sdtpldt0(smndt0(_133471), _133471))]]], (304 ^ _123802) ^ [_133766, _133768] : [-(sdtasdt0(_133768, _133766) = sdtasdt0(_133766, _133768)), aElement0(_133768), aElement0(_133766)], (314 ^ _123802) ^ [_134087, _134089, _134091] : [-(sdtasdt0(sdtasdt0(_134091, _134089), _134087) = sdtasdt0(_134091, sdtasdt0(_134089, _134087))), aElement0(_134091), aElement0(_134089), aElement0(_134087)], (328 ^ _123802) ^ [_134493] : [aElement0(_134493), 331 ^ _123802 : [(332 ^ _123802) ^ [] : [-(sdtasdt0(_134493, sz10) = _134493)], (334 ^ _123802) ^ [] : [-(_134493 = sdtasdt0(sz10, _134493))]]], (336 ^ _123802) ^ [_134794, _134796, _134798] : [347 ^ _123802 : [(348 ^ _123802) ^ [] : [-(sdtasdt0(_134798, sdtpldt0(_134796, _134794)) = sdtpldt0(sdtasdt0(_134798, _134796), sdtasdt0(_134798, _134794)))], (350 ^ _123802) ^ [] : [-(sdtasdt0(sdtpldt0(_134796, _134794), _134798) = sdtpldt0(sdtasdt0(_134796, _134798), sdtasdt0(_134794, _134798)))]], aElement0(_134798), aElement0(_134796), aElement0(_134794)], (352 ^ _123802) ^ [_135313] : [aElement0(_135313), 355 ^ _123802 : [(356 ^ _123802) ^ [] : [-(sdtasdt0(smndt0(sz10), _135313) = smndt0(_135313))], (358 ^ _123802) ^ [] : [-(smndt0(_135313) = sdtasdt0(_135313, smndt0(sz10)))]]], (360 ^ _123802) ^ [_135594] : [aElement0(_135594), 363 ^ _123802 : [(364 ^ _123802) ^ [] : [-(sdtasdt0(_135594, sz00) = sz00)], (366 ^ _123802) ^ [] : [-(sz00 = sdtasdt0(sz00, _135594))]]], (368 ^ _123802) ^ [_135881, _135883] : [aElement0(_135883), aElement0(_135881), sdtasdt0(_135883, _135881) = sz00, -(_135883 = sz00), -(_135881 = sz00)], (386 ^ _123802) ^ [] : [sz10 = sz00], (388 ^ _123802) ^ [_136401] : [aSet0(_136401), true___, -(true___)], (398 ^ _123802) ^ [_136656] : [aSet0(_136656), 401 ^ _123802 : [(402 ^ _123802) ^ [_136786] : [aElementOf0(_136786, _136656), -(aElement0(_136786))]]], (408 ^ _123802) ^ [_137001, _137003] : [aSet0(_137003), aSet0(_137001), -(_137003 = _137001), 420 ^ _123802 : [(421 ^ _123802) ^ [] : [-(aElementOf0(419 ^ [_137001, _137003], _137003))], (423 ^ _123802) ^ [] : [aElementOf0(419 ^ [_137001, _137003], _137001)]], 425 ^ _123802 : [(426 ^ _123802) ^ [] : [-(aElementOf0(424 ^ [_137001, _137003], _137001))], (428 ^ _123802) ^ [] : [aElementOf0(424 ^ [_137001, _137003], _137003)]]], (432 ^ _123802) ^ [_137766, _137768] : [aSet0(_137768), aSet0(_137766), 439 ^ _123802 : [(472 ^ _123802) ^ [_139396] : [-(_139396 = sdtpldt1(_137768, _137766)), aSet0(_139396), 494 ^ _123802 : [(495 ^ _123802) ^ [] : [-(aElementOf0(492 ^ [_137766, _137768, _139396], _137768))], (497 ^ _123802) ^ [] : [-(aElementOf0(493 ^ [_137766, _137768, _139396], _137766))], (499 ^ _123802) ^ [] : [-(sdtpldt0(492 ^ [_137766, _137768, _139396], 493 ^ [_137766, _137768, _139396]) = 477 ^ [_137766, _137768, _139396])], (501 ^ _123802) ^ [] : [aElementOf0(477 ^ [_137766, _137768, _139396], _139396)]], 480 ^ _123802 : [(481 ^ _123802) ^ [] : [-(aElementOf0(477 ^ [_137766, _137768, _139396], _139396))], (483 ^ _123802) ^ [_139825, _139827] : [aElementOf0(_139827, _137768), aElementOf0(_139825, _137766), sdtpldt0(_139827, _139825) = 477 ^ [_137766, _137768, _139396]]]], (440 ^ _123802) ^ [_138061] : [_138061 = sdtpldt1(_137768, _137766), 443 ^ _123802 : [(444 ^ _123802) ^ [] : [-(aSet0(_138061))], (446 ^ _123802) ^ [_138338] : [aElementOf0(_138338, _138061), 451 ^ _123802 : [(452 ^ _123802) ^ [] : [-(aElementOf0(449 ^ [_137766, _137768, _138061, _138338], _137768))], (454 ^ _123802) ^ [] : [-(aElementOf0(450 ^ [_137766, _137768, _138061, _138338], _137766))], (456 ^ _123802) ^ [] : [-(sdtpldt0(449 ^ [_137766, _137768, _138061, _138338], 450 ^ [_137766, _137768, _138061, _138338]) = _138338)]]], (458 ^ _123802) ^ [_138898] : [-(aElementOf0(_138898, _138061)), 459 ^ _123802 : [(460 ^ _123802) ^ [_139028, _139030] : [aElementOf0(_139030, _137768), aElementOf0(_139028, _137766), sdtpldt0(_139030, _139028) = _138898]]]]]]], (505 ^ _123802) ^ [_140746, _140748] : [aSet0(_140748), aSet0(_140746), 512 ^ _123802 : [(537 ^ _123802) ^ [_141825] : [-(_141825 = sdtasasdt0(_140748, _140746)), aSet0(_141825), 553 ^ _123802 : [(554 ^ _123802) ^ [] : [-(aElementOf0(542 ^ [_140746, _140748, _141825], _140748))], (556 ^ _123802) ^ [] : [-(aElementOf0(542 ^ [_140746, _140748, _141825], _140746))], (558 ^ _123802) ^ [] : [aElementOf0(542 ^ [_140746, _140748, _141825], _141825)]], 545 ^ _123802 : [(546 ^ _123802) ^ [] : [-(aElementOf0(542 ^ [_140746, _140748, _141825], _141825))], (548 ^ _123802) ^ [] : [aElementOf0(542 ^ [_140746, _140748, _141825], _140748), aElementOf0(542 ^ [_140746, _140748, _141825], _140746)]]], (513 ^ _123802) ^ [_141022] : [_141022 = sdtasasdt0(_140748, _140746), 516 ^ _123802 : [(517 ^ _123802) ^ [] : [-(aSet0(_141022))], (519 ^ _123802) ^ [_141280] : [aElementOf0(_141280, _141022), 522 ^ _123802 : [(523 ^ _123802) ^ [] : [-(aElementOf0(_141280, _140748))], (525 ^ _123802) ^ [] : [-(aElementOf0(_141280, _140746))]]], (527 ^ _123802) ^ [_141539] : [-(aElementOf0(_141539, _141022)), aElementOf0(_141539, _140748), aElementOf0(_141539, _140746)]]]]], (584 ^ _123802) ^ [_143490] : [-(aIdeal0(_143490)), aSet0(_143490), 590 ^ _123802 : [(591 ^ _123802) ^ [] : [-(aElementOf0(589 ^ [_143490], _143490))], (593 ^ _123802) ^ [] : [595 ^ _123802 : [(596 ^ _123802) ^ [] : [-(aElementOf0(594 ^ [_143490], _143490))], (598 ^ _123802) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_143490], 594 ^ [_143490]), _143490)]], 600 ^ _123802 : [(601 ^ _123802) ^ [] : [-(aElement0(599 ^ [_143490]))], (603 ^ _123802) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_143490], 589 ^ [_143490]), _143490)]]]]], (562 ^ _123802) ^ [_142695] : [aIdeal0(_142695), 565 ^ _123802 : [(566 ^ _123802) ^ [] : [-(aSet0(_142695))], (568 ^ _123802) ^ [_142927] : [aElementOf0(_142927, _142695), 571 ^ _123802 : [(572 ^ _123802) ^ [_143108] : [aElementOf0(_143108, _142695), -(aElementOf0(sdtpldt0(_142927, _143108), _142695))], (578 ^ _123802) ^ [_143300] : [aElement0(_143300), -(aElementOf0(sdtasdt0(_143300, _142927), _142695))]]]]], (607 ^ _123802) ^ [_144330, _144332] : [-(aIdeal0(sdtpldt1(_144332, _144330))), aIdeal0(_144332), aIdeal0(_144330)], (617 ^ _123802) ^ [_144629, _144631] : [-(aIdeal0(sdtasasdt0(_144631, _144629))), aIdeal0(_144631), aIdeal0(_144629)], (627 ^ _123802) ^ [_144942, _144944, _144946] : [aElement0(_144946), aElement0(_144944), aIdeal0(_144942), 638 ^ _123802 : [(639 ^ _123802) ^ [] : [sdteqdtlpzmzozddtrp0(_144946, _144944, _144942), -(aElementOf0(sdtpldt0(_144946, smndt0(_144944)), _144942))], (645 ^ _123802) ^ [] : [aElementOf0(sdtpldt0(_144946, smndt0(_144944)), _144942), -(sdteqdtlpzmzozddtrp0(_144946, _144944, _144942))]]], (651 ^ _123802) ^ [_145620, _145622] : [aIdeal0(_145622), aIdeal0(_145620), 661 ^ _123802 : [(662 ^ _123802) ^ [] : [-(aElement0(660 ^ [_145620, _145622]))], (664 ^ _123802) ^ [] : [aElementOf0(660 ^ [_145620, _145622], sdtpldt1(_145622, _145620))]], 665 ^ _123802 : [(666 ^ _123802) ^ [_146118, _146120] : [674 ^ _123802 : [(675 ^ _123802) ^ [] : [-(aElement0(673 ^ [_145620, _145622, _146118, _146120]))], (677 ^ _123802) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_145620, _145622, _146118, _146120], _146120, _145622))], (679 ^ _123802) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_145620, _145622, _146118, _146120], _146118, _145620))]], aElement0(_146120), aElement0(_146118)]]], (681 ^ _123802) ^ [_146698] : [aNaturalNumber0(_146698), true___, -(true___)], (691 ^ _123802) ^ [_146953] : [-(aNaturalNumber0(sbrdtbr0(_146953))), aElement0(_146953), -(_146953 = sz00)], (701 ^ _123802) ^ [_147245, _147247] : [aNaturalNumber0(_147247), aNaturalNumber0(_147245), iLess0(_147247, _147245), true___, -(true___)], (719 ^ _123802) ^ [_147705, _147707] : [732 ^ _123802 : [(733 ^ _123802) ^ [] : [-(aElement0(730 ^ [_147705, _147707]))], (735 ^ _123802) ^ [] : [-(aElement0(731 ^ [_147705, _147707]))], (737 ^ _123802) ^ [] : [-(_147707 = sdtpldt0(sdtasdt0(730 ^ [_147705, _147707], _147705), 731 ^ [_147705, _147707]))], (739 ^ _123802) ^ [] : [-(731 ^ [_147705, _147707] = sz00), -(iLess0(sbrdtbr0(731 ^ [_147705, _147707]), sbrdtbr0(_147705)))]], aElement0(_147707), aElement0(_147705), -(_147705 = sz00)], (745 ^ _123802) ^ [_148652, _148654] : [aElement0(_148654), aElement0(_148652), 752 ^ _123802 : [(753 ^ _123802) ^ [] : [doDivides0(_148654, _148652), 757 ^ _123802 : [(758 ^ _123802) ^ [] : [-(aElement0(756 ^ [_148652, _148654]))], (760 ^ _123802) ^ [] : [-(sdtasdt0(_148654, 756 ^ [_148652, _148654]) = _148652)]]], (762 ^ _123802) ^ [] : [-(doDivides0(_148654, _148652)), 763 ^ _123802 : [(764 ^ _123802) ^ [_149212] : [aElement0(_149212), sdtasdt0(_148654, _149212) = _148652]]]]], (772 ^ _123802) ^ [_149481] : [aElement0(_149481), 775 ^ _123802 : [(776 ^ _123802) ^ [_149646] : [aDivisorOf0(_149646, _149481), 779 ^ _123802 : [(780 ^ _123802) ^ [] : [-(aElement0(_149646))], (782 ^ _123802) ^ [] : [-(doDivides0(_149646, _149481))]]], (784 ^ _123802) ^ [_149883] : [-(aDivisorOf0(_149883, _149481)), aElement0(_149883), doDivides0(_149883, _149481)]]], (794 ^ _123802) ^ [_150189, _150191] : [aElement0(_150191), aElement0(_150189), 801 ^ _123802 : [(802 ^ _123802) ^ [_150470] : [aGcdOfAnd0(_150470, _150191, _150189), 805 ^ _123802 : [(806 ^ _123802) ^ [] : [-(aDivisorOf0(_150470, _150191))], (808 ^ _123802) ^ [] : [-(aDivisorOf0(_150470, _150189))], (810 ^ _123802) ^ [_150771] : [-(doDivides0(_150771, _150470)), aDivisorOf0(_150771, _150191), aDivisorOf0(_150771, _150189)]]], (820 ^ _123802) ^ [_151057] : [-(aGcdOfAnd0(_151057, _150191, _150189)), aDivisorOf0(_151057, _150191), aDivisorOf0(_151057, _150189), 830 ^ _123802 : [(831 ^ _123802) ^ [] : [-(aDivisorOf0(829 ^ [_150189, _150191, _151057], _150191))], (833 ^ _123802) ^ [] : [-(aDivisorOf0(829 ^ [_150189, _150191, _151057], _150189))], (835 ^ _123802) ^ [] : [doDivides0(829 ^ [_150189, _150191, _151057], _151057)]]]]], (839 ^ _123802) ^ [_151722, _151724] : [aElement0(_151724), aElement0(_151722), 846 ^ _123802 : [(847 ^ _123802) ^ [] : [misRelativelyPrime0(_151724, _151722), -(aGcdOfAnd0(sz10, _151724, _151722))], (853 ^ _123802) ^ [] : [aGcdOfAnd0(sz10, _151724, _151722), -(misRelativelyPrime0(_151724, _151722))]]], (914 ^ _123802) ^ [_154321] : [aElement0(_154321), -(aIdeal0(slsdtgt0(_154321)))], (920 ^ _123802) ^ [] : [-(aElement0(xa))], (922 ^ _123802) ^ [] : [-(aElement0(xb))], (924 ^ _123802) ^ [] : [xa = sz00, xb = sz00], (930 ^ _123802) ^ [] : [-(aGcdOfAnd0(xc, xa, xb))], (932 ^ _123802) ^ [] : [-(aIdeal0(xI))], (934 ^ _123802) ^ [] : [-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))], (936 ^ _123802) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xa)))], (938 ^ _123802) ^ [] : [-(aElementOf0(xa, slsdtgt0(xa)))], (940 ^ _123802) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xb)))], (942 ^ _123802) ^ [] : [-(aElementOf0(xb, slsdtgt0(xb)))], (945 ^ _123802) ^ [] : [-(aElementOf0(943 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))], (947 ^ _123802) ^ [] : [943 ^ [] = sz00], (971 ^ _123802) ^ [] : [-(aElement0(968 ^ []))], (973 ^ _123802) ^ [] : [-(aElement0(969 ^ []))], (975 ^ _123802) ^ [] : [-(xu = sdtpldt0(sdtasdt0(xa, 968 ^ []), sdtasdt0(xb, 969 ^ [])))], (977 ^ _123802) ^ [] : [-(doDivides0(xu, xa))], (979 ^ _123802) ^ [] : [-(doDivides0(xu, xb))], (963 ^ _123802) ^ [] : [aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)], (949 ^ _123802) ^ [] : [-(aElementOf0(xu, xI))], (951 ^ _123802) ^ [] : [xu = sz00], (953 ^ _123802) ^ [_155373] : [iLess0(sbrdtbr0(_155373), sbrdtbr0(xu)), aElementOf0(_155373, xI), -(_155373 = sz00)], (859 ^ _123802) ^ [_152258] : [aElement0(_152258), 862 ^ _123802 : [(888 ^ _123802) ^ [_153382] : [-(_153382 = slsdtgt0(_152258)), aSet0(_153382), 905 ^ _123802 : [(906 ^ _123802) ^ [] : [-(aElement0(904 ^ [_152258, _153382]))], (908 ^ _123802) ^ [] : [-(sdtasdt0(_152258, 904 ^ [_152258, _153382]) = 893 ^ [_152258, _153382])], (910 ^ _123802) ^ [] : [aElementOf0(893 ^ [_152258, _153382], _153382)]], 896 ^ _123802 : [(897 ^ _123802) ^ [] : [-(aElementOf0(893 ^ [_152258, _153382], _153382))], (899 ^ _123802) ^ [_153754] : [aElement0(_153754), sdtasdt0(_152258, _153754) = 893 ^ [_152258, _153382]]]], (863 ^ _123802) ^ [_152449] : [_152449 = slsdtgt0(_152258), 866 ^ _123802 : [(867 ^ _123802) ^ [] : [-(aSet0(_152449))], (869 ^ _123802) ^ [_152704] : [aElementOf0(_152704, _152449), 873 ^ _123802 : [(874 ^ _123802) ^ [] : [-(aElement0(872 ^ [_152258, _152449, _152704]))], (876 ^ _123802) ^ [] : [-(sdtasdt0(_152258, 872 ^ [_152258, _152449, _152704]) = _152704)]]], (878 ^ _123802) ^ [_153037] : [-(aElementOf0(_153037, _152449)), 879 ^ _123802 : [(880 ^ _123802) ^ [_153137] : [aElement0(_153137), sdtasdt0(_152258, _153137) = _153037]]]]]]]], input).
% 1.19/1.38 ncf('1',plain,[aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)],start(963 ^ 0)).
% 1.19/1.38 ncf('1.1',plain,[-(aDivisorOf0(xu, xa)), 784 : aElement0(xu), 784 : doDivides0(xu, xa), 784 : aElement0(xa)],extension(772 ^ 1,bind([[_149481, _149883], [xa, xu]]))).
% 1.19/1.38 ncf('1.1.1',plain,[-(aElement0(xu)), 402 : aElementOf0(xu, xI), 402 : aSet0(xI)],extension(398 ^ 4,bind([[_136656, _136786], [xI, xu]]))).
% 1.19/1.38 ncf('1.1.1.1',plain,[-(aElementOf0(xu, xI))],extension(949 ^ 7)).
% 1.19/1.38 ncf('1.1.1.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(562 ^ 5,bind([[_142695], [xI]]))).
% 1.19/1.38 ncf('1.1.1.2.1',plain,[-(aIdeal0(xI))],extension(932 ^ 6)).
% 1.19/1.38 ncf('1.1.2',plain,[-(doDivides0(xu, xa)), doDivides0(xu, xa), xu = xu, xa = xa],extension(152 ^ 4,bind([[_128752, _128754, _128756, _128758], [xa, xa, xu, xu]]))).
% 1.19/1.38 ncf('1.1.2.1',plain,[-(doDivides0(xu, xa))],extension(977 ^ 5)).
% 1.19/1.38 ncf('1.1.2.2',plain,[-(xu = xu)],extension(2 ^ 5,bind([[_123946], [xu]]))).
% 1.19/1.38 ncf('1.1.2.3',plain,[-(xa = xa)],extension(2 ^ 5,bind([[_123946], [xa]]))).
% 1.19/1.38 ncf('1.1.3',plain,[-(aElement0(xa))],extension(920 ^ 2)).
% 1.19/1.38 ncf('1.2',plain,[-(aDivisorOf0(xu, xb)), 784 : aElement0(xu), 784 : doDivides0(xu, xb), 784 : aElement0(xb)],extension(772 ^ 1,bind([[_149481, _149883], [xb, xu]]))).
% 1.19/1.38 ncf('1.2.1',plain,[-(aElement0(xu)), 402 : aElementOf0(xu, xI), 402 : aSet0(xI)],extension(398 ^ 4,bind([[_136656, _136786], [xI, xu]]))).
% 1.19/1.38 ncf('1.2.1.1',plain,[-(aElementOf0(xu, xI))],extension(949 ^ 7)).
% 1.19/1.38 ncf('1.2.1.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(562 ^ 5,bind([[_142695], [xI]]))).
% 1.19/1.38 ncf('1.2.1.2.1',plain,[-(aIdeal0(xI))],extension(932 ^ 6)).
% 1.19/1.38 ncf('1.2.2',plain,[-(doDivides0(xu, xb))],extension(979 ^ 4)).
% 1.19/1.38 ncf('1.2.3',plain,[-(aElement0(xb))],extension(922 ^ 2)).
% 1.19/1.38 %-----------------------------------------------------
% 1.19/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------