TSTP Solution File: RNG123+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG123+1 : TPTP v8.1.2. Released v4.0.0.
% 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 11:49:54 EDT 2023
% Result : Theorem 100.94s 98.50s
% Output : Proof 100.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : RNG123+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % 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 : Thu May 18 20:44:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 100.94/98.50
% 100.94/98.50 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 100.94/98.50 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.94/98.50 %-----------------------------------------------------
% 100.94/98.50 ncf(matrix, plain, [(1001 ^ _123583) ^ [] : [aElementOf0(xr, xI)], (166 ^ _123583) ^ [_129003, _129005, _129007, _129009] : [-(sdtasasdt0(_129009, _129005) = sdtasasdt0(_129007, _129003)), _129009 = _129007, _129005 = _129003], (176 ^ _123583) ^ [_129362, _129364, _129366, _129368] : [-(sdtpldt1(_129368, _129364) = sdtpldt1(_129366, _129362)), _129368 = _129366, _129364 = _129362], (186 ^ _123583) ^ [_129693, _129695] : [_129695 = _129693, -(slsdtgt0(_129695) = slsdtgt0(_129693))], (192 ^ _123583) ^ [_129911, _129913] : [_129913 = _129911, -(sbrdtbr0(_129913) = sbrdtbr0(_129911))], (198 ^ _123583) ^ [_130157, _130159, _130161, _130163] : [-(sdtpldt0(_130163, _130159) = sdtpldt0(_130161, _130157)), _130163 = _130161, _130159 = _130157], (208 ^ _123583) ^ [_130488, _130490] : [_130490 = _130488, -(smndt0(_130490) = smndt0(_130488))], (214 ^ _123583) ^ [_130714, _130716, _130718, _130720] : [-(sdtasdt0(_130720, _130716) = sdtasdt0(_130718, _130714)), _130720 = _130718, _130716 = _130714], (2 ^ _123583) ^ [_123727] : [-(_123727 = _123727)], (4 ^ _123583) ^ [_123834, _123836] : [_123836 = _123834, -(_123834 = _123836)], (10 ^ _123583) ^ [_124038, _124040, _124042] : [-(_124042 = _124038), _124042 = _124040, _124040 = _124038], (20 ^ _123583) ^ [_124407, _124409, _124411, _124413, _124415, _124417] : [-(sdteqdtlpzmzozddtrp0(_124415, _124411, _124407)), sdteqdtlpzmzozddtrp0(_124417, _124413, _124409), _124417 = _124415, _124413 = _124411, _124409 = _124407], (38 ^ _123583) ^ [_124960, _124962] : [-(aNaturalNumber0(_124960)), _124962 = _124960, aNaturalNumber0(_124962)], (48 ^ _123583) ^ [_125283, _125285, _125287, _125289] : [-(misRelativelyPrime0(_125287, _125283)), misRelativelyPrime0(_125289, _125285), _125289 = _125287, _125285 = _125283], (62 ^ _123583) ^ [_125699, _125701] : [-(aSet0(_125699)), _125701 = _125699, aSet0(_125701)], (72 ^ _123583) ^ [_126050, _126052, _126054, _126056, _126058, _126060] : [-(aGcdOfAnd0(_126058, _126054, _126050)), aGcdOfAnd0(_126060, _126056, _126052), _126060 = _126058, _126056 = _126054, _126052 = _126050], (90 ^ _123583) ^ [_126603, _126605] : [-(aIdeal0(_126603)), _126605 = _126603, aIdeal0(_126605)], (100 ^ _123583) ^ [_126926, _126928, _126930, _126932] : [-(aDivisorOf0(_126930, _126926)), aDivisorOf0(_126932, _126928), _126932 = _126930, _126928 = _126926], (114 ^ _123583) ^ [_127370, _127372, _127374, _127376] : [-(doDivides0(_127374, _127370)), doDivides0(_127376, _127372), _127376 = _127374, _127372 = _127370], (128 ^ _123583) ^ [_127786, _127788] : [-(aElement0(_127786)), _127788 = _127786, aElement0(_127788)], (138 ^ _123583) ^ [_128109, _128111, _128113, _128115] : [-(iLess0(_128113, _128109)), iLess0(_128115, _128111), _128115 = _128113, _128111 = _128109], (152 ^ _123583) ^ [_128533, _128535, _128537, _128539] : [-(aElementOf0(_128537, _128533)), aElementOf0(_128539, _128535), _128539 = _128537, _128535 = _128533], (224 ^ _123583) ^ [_131089] : [aElement0(_131089), true___, -(true___)], (234 ^ _123583) ^ [] : [-(aElement0(sz00))], (236 ^ _123583) ^ [] : [-(aElement0(sz10))], (238 ^ _123583) ^ [_131450] : [aElement0(_131450), -(aElement0(smndt0(_131450)))], (244 ^ _123583) ^ [_131654, _131656] : [-(aElement0(sdtpldt0(_131656, _131654))), aElement0(_131656), aElement0(_131654)], (254 ^ _123583) ^ [_131953, _131955] : [-(aElement0(sdtasdt0(_131955, _131953))), aElement0(_131955), aElement0(_131953)], (264 ^ _123583) ^ [_132252, _132254] : [-(sdtpldt0(_132254, _132252) = sdtpldt0(_132252, _132254)), aElement0(_132254), aElement0(_132252)], (274 ^ _123583) ^ [_132573, _132575, _132577] : [-(sdtpldt0(sdtpldt0(_132577, _132575), _132573) = sdtpldt0(_132577, sdtpldt0(_132575, _132573))), aElement0(_132577), aElement0(_132575), aElement0(_132573)], (288 ^ _123583) ^ [_132979] : [aElement0(_132979), 291 ^ _123583 : [(292 ^ _123583) ^ [] : [-(sdtpldt0(_132979, sz00) = _132979)], (294 ^ _123583) ^ [] : [-(_132979 = sdtpldt0(sz00, _132979))]]], (296 ^ _123583) ^ [_133252] : [aElement0(_133252), 299 ^ _123583 : [(300 ^ _123583) ^ [] : [-(sdtpldt0(_133252, smndt0(_133252)) = sz00)], (302 ^ _123583) ^ [] : [-(sz00 = sdtpldt0(smndt0(_133252), _133252))]]], (304 ^ _123583) ^ [_133547, _133549] : [-(sdtasdt0(_133549, _133547) = sdtasdt0(_133547, _133549)), aElement0(_133549), aElement0(_133547)], (314 ^ _123583) ^ [_133868, _133870, _133872] : [-(sdtasdt0(sdtasdt0(_133872, _133870), _133868) = sdtasdt0(_133872, sdtasdt0(_133870, _133868))), aElement0(_133872), aElement0(_133870), aElement0(_133868)], (328 ^ _123583) ^ [_134274] : [aElement0(_134274), 331 ^ _123583 : [(332 ^ _123583) ^ [] : [-(sdtasdt0(_134274, sz10) = _134274)], (334 ^ _123583) ^ [] : [-(_134274 = sdtasdt0(sz10, _134274))]]], (336 ^ _123583) ^ [_134575, _134577, _134579] : [347 ^ _123583 : [(348 ^ _123583) ^ [] : [-(sdtasdt0(_134579, sdtpldt0(_134577, _134575)) = sdtpldt0(sdtasdt0(_134579, _134577), sdtasdt0(_134579, _134575)))], (350 ^ _123583) ^ [] : [-(sdtasdt0(sdtpldt0(_134577, _134575), _134579) = sdtpldt0(sdtasdt0(_134577, _134579), sdtasdt0(_134575, _134579)))]], aElement0(_134579), aElement0(_134577), aElement0(_134575)], (352 ^ _123583) ^ [_135094] : [aElement0(_135094), 355 ^ _123583 : [(356 ^ _123583) ^ [] : [-(sdtasdt0(smndt0(sz10), _135094) = smndt0(_135094))], (358 ^ _123583) ^ [] : [-(smndt0(_135094) = sdtasdt0(_135094, smndt0(sz10)))]]], (360 ^ _123583) ^ [_135375] : [aElement0(_135375), 363 ^ _123583 : [(364 ^ _123583) ^ [] : [-(sdtasdt0(_135375, sz00) = sz00)], (366 ^ _123583) ^ [] : [-(sz00 = sdtasdt0(sz00, _135375))]]], (368 ^ _123583) ^ [_135662, _135664] : [aElement0(_135664), aElement0(_135662), sdtasdt0(_135664, _135662) = sz00, -(_135664 = sz00), -(_135662 = sz00)], (386 ^ _123583) ^ [] : [sz10 = sz00], (388 ^ _123583) ^ [_136182] : [aSet0(_136182), true___, -(true___)], (398 ^ _123583) ^ [_136437] : [aSet0(_136437), 401 ^ _123583 : [(402 ^ _123583) ^ [_136567] : [aElementOf0(_136567, _136437), -(aElement0(_136567))]]], (408 ^ _123583) ^ [_136782, _136784] : [aSet0(_136784), aSet0(_136782), -(_136784 = _136782), 420 ^ _123583 : [(421 ^ _123583) ^ [] : [-(aElementOf0(419 ^ [_136782, _136784], _136784))], (423 ^ _123583) ^ [] : [aElementOf0(419 ^ [_136782, _136784], _136782)]], 425 ^ _123583 : [(426 ^ _123583) ^ [] : [-(aElementOf0(424 ^ [_136782, _136784], _136782))], (428 ^ _123583) ^ [] : [aElementOf0(424 ^ [_136782, _136784], _136784)]]], (432 ^ _123583) ^ [_137547, _137549] : [aSet0(_137549), aSet0(_137547), 439 ^ _123583 : [(472 ^ _123583) ^ [_139177] : [-(_139177 = sdtpldt1(_137549, _137547)), aSet0(_139177), 494 ^ _123583 : [(495 ^ _123583) ^ [] : [-(aElementOf0(492 ^ [_137547, _137549, _139177], _137549))], (497 ^ _123583) ^ [] : [-(aElementOf0(493 ^ [_137547, _137549, _139177], _137547))], (499 ^ _123583) ^ [] : [-(sdtpldt0(492 ^ [_137547, _137549, _139177], 493 ^ [_137547, _137549, _139177]) = 477 ^ [_137547, _137549, _139177])], (501 ^ _123583) ^ [] : [aElementOf0(477 ^ [_137547, _137549, _139177], _139177)]], 480 ^ _123583 : [(481 ^ _123583) ^ [] : [-(aElementOf0(477 ^ [_137547, _137549, _139177], _139177))], (483 ^ _123583) ^ [_139606, _139608] : [aElementOf0(_139608, _137549), aElementOf0(_139606, _137547), sdtpldt0(_139608, _139606) = 477 ^ [_137547, _137549, _139177]]]], (440 ^ _123583) ^ [_137842] : [_137842 = sdtpldt1(_137549, _137547), 443 ^ _123583 : [(444 ^ _123583) ^ [] : [-(aSet0(_137842))], (446 ^ _123583) ^ [_138119] : [aElementOf0(_138119, _137842), 451 ^ _123583 : [(452 ^ _123583) ^ [] : [-(aElementOf0(449 ^ [_137547, _137549, _137842, _138119], _137549))], (454 ^ _123583) ^ [] : [-(aElementOf0(450 ^ [_137547, _137549, _137842, _138119], _137547))], (456 ^ _123583) ^ [] : [-(sdtpldt0(449 ^ [_137547, _137549, _137842, _138119], 450 ^ [_137547, _137549, _137842, _138119]) = _138119)]]], (458 ^ _123583) ^ [_138679] : [-(aElementOf0(_138679, _137842)), 459 ^ _123583 : [(460 ^ _123583) ^ [_138809, _138811] : [aElementOf0(_138811, _137549), aElementOf0(_138809, _137547), sdtpldt0(_138811, _138809) = _138679]]]]]]], (505 ^ _123583) ^ [_140527, _140529] : [aSet0(_140529), aSet0(_140527), 512 ^ _123583 : [(537 ^ _123583) ^ [_141606] : [-(_141606 = sdtasasdt0(_140529, _140527)), aSet0(_141606), 553 ^ _123583 : [(554 ^ _123583) ^ [] : [-(aElementOf0(542 ^ [_140527, _140529, _141606], _140529))], (556 ^ _123583) ^ [] : [-(aElementOf0(542 ^ [_140527, _140529, _141606], _140527))], (558 ^ _123583) ^ [] : [aElementOf0(542 ^ [_140527, _140529, _141606], _141606)]], 545 ^ _123583 : [(546 ^ _123583) ^ [] : [-(aElementOf0(542 ^ [_140527, _140529, _141606], _141606))], (548 ^ _123583) ^ [] : [aElementOf0(542 ^ [_140527, _140529, _141606], _140529), aElementOf0(542 ^ [_140527, _140529, _141606], _140527)]]], (513 ^ _123583) ^ [_140803] : [_140803 = sdtasasdt0(_140529, _140527), 516 ^ _123583 : [(517 ^ _123583) ^ [] : [-(aSet0(_140803))], (519 ^ _123583) ^ [_141061] : [aElementOf0(_141061, _140803), 522 ^ _123583 : [(523 ^ _123583) ^ [] : [-(aElementOf0(_141061, _140529))], (525 ^ _123583) ^ [] : [-(aElementOf0(_141061, _140527))]]], (527 ^ _123583) ^ [_141320] : [-(aElementOf0(_141320, _140803)), aElementOf0(_141320, _140529), aElementOf0(_141320, _140527)]]]]], (584 ^ _123583) ^ [_143271] : [-(aIdeal0(_143271)), aSet0(_143271), 590 ^ _123583 : [(591 ^ _123583) ^ [] : [-(aElementOf0(589 ^ [_143271], _143271))], (593 ^ _123583) ^ [] : [595 ^ _123583 : [(596 ^ _123583) ^ [] : [-(aElementOf0(594 ^ [_143271], _143271))], (598 ^ _123583) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_143271], 594 ^ [_143271]), _143271)]], 600 ^ _123583 : [(601 ^ _123583) ^ [] : [-(aElement0(599 ^ [_143271]))], (603 ^ _123583) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_143271], 589 ^ [_143271]), _143271)]]]]], (562 ^ _123583) ^ [_142476] : [aIdeal0(_142476), 565 ^ _123583 : [(566 ^ _123583) ^ [] : [-(aSet0(_142476))], (568 ^ _123583) ^ [_142708] : [aElementOf0(_142708, _142476), 571 ^ _123583 : [(572 ^ _123583) ^ [_142889] : [aElementOf0(_142889, _142476), -(aElementOf0(sdtpldt0(_142708, _142889), _142476))], (578 ^ _123583) ^ [_143081] : [aElement0(_143081), -(aElementOf0(sdtasdt0(_143081, _142708), _142476))]]]]], (607 ^ _123583) ^ [_144111, _144113] : [-(aIdeal0(sdtpldt1(_144113, _144111))), aIdeal0(_144113), aIdeal0(_144111)], (617 ^ _123583) ^ [_144410, _144412] : [-(aIdeal0(sdtasasdt0(_144412, _144410))), aIdeal0(_144412), aIdeal0(_144410)], (627 ^ _123583) ^ [_144723, _144725, _144727] : [aElement0(_144727), aElement0(_144725), aIdeal0(_144723), 638 ^ _123583 : [(639 ^ _123583) ^ [] : [sdteqdtlpzmzozddtrp0(_144727, _144725, _144723), -(aElementOf0(sdtpldt0(_144727, smndt0(_144725)), _144723))], (645 ^ _123583) ^ [] : [aElementOf0(sdtpldt0(_144727, smndt0(_144725)), _144723), -(sdteqdtlpzmzozddtrp0(_144727, _144725, _144723))]]], (651 ^ _123583) ^ [_145401, _145403] : [aIdeal0(_145403), aIdeal0(_145401), 661 ^ _123583 : [(662 ^ _123583) ^ [] : [-(aElement0(660 ^ [_145401, _145403]))], (664 ^ _123583) ^ [] : [aElementOf0(660 ^ [_145401, _145403], sdtpldt1(_145403, _145401))]], 665 ^ _123583 : [(666 ^ _123583) ^ [_145899, _145901] : [674 ^ _123583 : [(675 ^ _123583) ^ [] : [-(aElement0(673 ^ [_145401, _145403, _145899, _145901]))], (677 ^ _123583) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_145401, _145403, _145899, _145901], _145901, _145403))], (679 ^ _123583) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_145401, _145403, _145899, _145901], _145899, _145401))]], aElement0(_145901), aElement0(_145899)]]], (681 ^ _123583) ^ [_146479] : [aNaturalNumber0(_146479), true___, -(true___)], (691 ^ _123583) ^ [_146734] : [-(aNaturalNumber0(sbrdtbr0(_146734))), aElement0(_146734), -(_146734 = sz00)], (701 ^ _123583) ^ [_147026, _147028] : [aNaturalNumber0(_147028), aNaturalNumber0(_147026), iLess0(_147028, _147026), true___, -(true___)], (719 ^ _123583) ^ [_147486, _147488] : [732 ^ _123583 : [(733 ^ _123583) ^ [] : [-(aElement0(730 ^ [_147486, _147488]))], (735 ^ _123583) ^ [] : [-(aElement0(731 ^ [_147486, _147488]))], (737 ^ _123583) ^ [] : [-(_147488 = sdtpldt0(sdtasdt0(730 ^ [_147486, _147488], _147486), 731 ^ [_147486, _147488]))], (739 ^ _123583) ^ [] : [-(731 ^ [_147486, _147488] = sz00), -(iLess0(sbrdtbr0(731 ^ [_147486, _147488]), sbrdtbr0(_147486)))]], aElement0(_147488), aElement0(_147486), -(_147486 = sz00)], (745 ^ _123583) ^ [_148433, _148435] : [aElement0(_148435), aElement0(_148433), 752 ^ _123583 : [(753 ^ _123583) ^ [] : [doDivides0(_148435, _148433), 757 ^ _123583 : [(758 ^ _123583) ^ [] : [-(aElement0(756 ^ [_148433, _148435]))], (760 ^ _123583) ^ [] : [-(sdtasdt0(_148435, 756 ^ [_148433, _148435]) = _148433)]]], (762 ^ _123583) ^ [] : [-(doDivides0(_148435, _148433)), 763 ^ _123583 : [(764 ^ _123583) ^ [_148993] : [aElement0(_148993), sdtasdt0(_148435, _148993) = _148433]]]]], (772 ^ _123583) ^ [_149262] : [aElement0(_149262), 775 ^ _123583 : [(776 ^ _123583) ^ [_149427] : [aDivisorOf0(_149427, _149262), 779 ^ _123583 : [(780 ^ _123583) ^ [] : [-(aElement0(_149427))], (782 ^ _123583) ^ [] : [-(doDivides0(_149427, _149262))]]], (784 ^ _123583) ^ [_149664] : [-(aDivisorOf0(_149664, _149262)), aElement0(_149664), doDivides0(_149664, _149262)]]], (794 ^ _123583) ^ [_149970, _149972] : [aElement0(_149972), aElement0(_149970), 801 ^ _123583 : [(802 ^ _123583) ^ [_150251] : [aGcdOfAnd0(_150251, _149972, _149970), 805 ^ _123583 : [(806 ^ _123583) ^ [] : [-(aDivisorOf0(_150251, _149972))], (808 ^ _123583) ^ [] : [-(aDivisorOf0(_150251, _149970))], (810 ^ _123583) ^ [_150552] : [-(doDivides0(_150552, _150251)), aDivisorOf0(_150552, _149972), aDivisorOf0(_150552, _149970)]]], (820 ^ _123583) ^ [_150838] : [-(aGcdOfAnd0(_150838, _149972, _149970)), aDivisorOf0(_150838, _149972), aDivisorOf0(_150838, _149970), 830 ^ _123583 : [(831 ^ _123583) ^ [] : [-(aDivisorOf0(829 ^ [_149970, _149972, _150838], _149972))], (833 ^ _123583) ^ [] : [-(aDivisorOf0(829 ^ [_149970, _149972, _150838], _149970))], (835 ^ _123583) ^ [] : [doDivides0(829 ^ [_149970, _149972, _150838], _150838)]]]]], (839 ^ _123583) ^ [_151503, _151505] : [aElement0(_151505), aElement0(_151503), 846 ^ _123583 : [(847 ^ _123583) ^ [] : [misRelativelyPrime0(_151505, _151503), -(aGcdOfAnd0(sz10, _151505, _151503))], (853 ^ _123583) ^ [] : [aGcdOfAnd0(sz10, _151505, _151503), -(misRelativelyPrime0(_151505, _151503))]]], (859 ^ _123583) ^ [_152039] : [aElement0(_152039), 862 ^ _123583 : [(888 ^ _123583) ^ [_153163] : [-(_153163 = slsdtgt0(_152039)), aSet0(_153163), 905 ^ _123583 : [(906 ^ _123583) ^ [] : [-(aElement0(904 ^ [_152039, _153163]))], (908 ^ _123583) ^ [] : [-(sdtasdt0(_152039, 904 ^ [_152039, _153163]) = 893 ^ [_152039, _153163])], (910 ^ _123583) ^ [] : [aElementOf0(893 ^ [_152039, _153163], _153163)]], 896 ^ _123583 : [(897 ^ _123583) ^ [] : [-(aElementOf0(893 ^ [_152039, _153163], _153163))], (899 ^ _123583) ^ [_153535] : [aElement0(_153535), sdtasdt0(_152039, _153535) = 893 ^ [_152039, _153163]]]], (863 ^ _123583) ^ [_152230] : [_152230 = slsdtgt0(_152039), 866 ^ _123583 : [(867 ^ _123583) ^ [] : [-(aSet0(_152230))], (869 ^ _123583) ^ [_152485] : [aElementOf0(_152485, _152230), 873 ^ _123583 : [(874 ^ _123583) ^ [] : [-(aElement0(872 ^ [_152039, _152230, _152485]))], (876 ^ _123583) ^ [] : [-(sdtasdt0(_152039, 872 ^ [_152039, _152230, _152485]) = _152485)]]], (878 ^ _123583) ^ [_152818] : [-(aElementOf0(_152818, _152230)), 879 ^ _123583 : [(880 ^ _123583) ^ [_152918] : [aElement0(_152918), sdtasdt0(_152039, _152918) = _152818]]]]]]], (914 ^ _123583) ^ [_154102] : [aElement0(_154102), -(aIdeal0(slsdtgt0(_154102)))], (920 ^ _123583) ^ [] : [-(aElement0(xa))], (922 ^ _123583) ^ [] : [-(aElement0(xb))], (924 ^ _123583) ^ [] : [xa = sz00, xb = sz00], (930 ^ _123583) ^ [] : [-(aGcdOfAnd0(xc, xa, xb))], (932 ^ _123583) ^ [] : [-(aIdeal0(xI))], (934 ^ _123583) ^ [] : [-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))], (936 ^ _123583) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xa)))], (938 ^ _123583) ^ [] : [-(aElementOf0(xa, slsdtgt0(xa)))], (940 ^ _123583) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xb)))], (942 ^ _123583) ^ [] : [-(aElementOf0(xb, slsdtgt0(xb)))], (945 ^ _123583) ^ [] : [-(aElementOf0(943 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))], (947 ^ _123583) ^ [] : [943 ^ [] = sz00], (949 ^ _123583) ^ [] : [-(aElementOf0(xu, xI))], (951 ^ _123583) ^ [] : [xu = sz00], (953 ^ _123583) ^ [_155154] : [iLess0(sbrdtbr0(_155154), sbrdtbr0(xu)), aElementOf0(_155154, xI), -(_155154 = sz00)], (963 ^ _123583) ^ [] : [aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)], (971 ^ _123583) ^ [] : [-(aElement0(968 ^ []))], (973 ^ _123583) ^ [] : [-(aElement0(969 ^ []))], (975 ^ _123583) ^ [] : [-(xu = sdtpldt0(sdtasdt0(xa, 968 ^ []), sdtasdt0(xb, 969 ^ [])))], (977 ^ _123583) ^ [] : [-(doDivides0(xu, xa))], (979 ^ _123583) ^ [] : [doDivides0(xu, xb)], (993 ^ _123583) ^ [] : [xr = sz00], (995 ^ _123583) ^ [] : [-(aElementOf0(smndt0(sdtasdt0(xq, xu)), xI))], (997 ^ _123583) ^ [] : [-(aElementOf0(xb, xI))], (999 ^ _123583) ^ [] : [-(xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb))], (981 ^ _123583) ^ [] : [-(aElement0(xq))], (983 ^ _123583) ^ [] : [-(aElement0(xr))], (985 ^ _123583) ^ [] : [-(xb = sdtpldt0(sdtasdt0(xq, xu), xr))], (987 ^ _123583) ^ [] : [-(xr = sz00), -(iLess0(sbrdtbr0(xr), sbrdtbr0(xu)))]], input).
% 100.94/98.50 ncf('1',plain,[aElementOf0(xr, xI)],start(1001 ^ 0)).
% 100.94/98.50 ncf('1.1',plain,[-(aElementOf0(xr, xI)), aElementOf0(sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), xI), sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb) = xr, xI = xI],extension(152 ^ 1,bind([[_128533, _128535, _128537, _128539], [xI, xI, xr, sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb)]]))).
% 100.94/98.50 ncf('1.1.1',plain,[-(aElementOf0(sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), xI)), 572 : aElementOf0(xb, xI), 572 : aElementOf0(smndt0(sdtasdt0(xq, xu)), xI), 568 : aIdeal0(xI)],extension(562 ^ 2,bind([[_142476, _142708, _142889], [xI, smndt0(sdtasdt0(xq, xu)), xb]]))).
% 100.94/98.50 ncf('1.1.1.1',plain,[-(aElementOf0(xb, xI))],extension(997 ^ 7)).
% 100.94/98.50 ncf('1.1.1.2',plain,[-(aElementOf0(smndt0(sdtasdt0(xq, xu)), xI))],extension(995 ^ 5)).
% 100.94/98.50 ncf('1.1.1.3',plain,[-(aIdeal0(xI))],extension(932 ^ 3)).
% 100.94/98.50 ncf('1.1.2',plain,[-(sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb) = xr), xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb)],extension(4 ^ 2,bind([[_123834, _123836], [sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), xr]]))).
% 100.94/98.50 ncf('1.1.2.1',plain,[-(xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb))],extension(999 ^ 3)).
% 100.94/98.50 ncf('1.1.3',plain,[-(xI = xI)],extension(2 ^ 2,bind([[_123727], [xI]]))).
% 100.94/98.50 %-----------------------------------------------------
% 100.94/98.50 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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