TSTP Solution File: RNG118+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG118+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 11:49:53 EDT 2023
% Result : Theorem 28.87s 28.26s
% Output : Proof 28.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG118+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n022.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 20:26:01 EDT 2023
% 0.12/0.33 % CPUTime :
% 28.87/28.26
% 28.87/28.26 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 28.87/28.26 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.87/28.26 %-----------------------------------------------------
% 28.87/28.26 ncf(matrix, plain, [(981 ^ _126679) ^ [_159383, _159385] : [aElement0(_159385), aElement0(_159383), xb = sdtpldt0(sdtasdt0(_159385, xu), _159383), 992 ^ _126679 : [(993 ^ _126679) ^ [] : [_159383 = sz00], (995 ^ _126679) ^ [] : [iLess0(sbrdtbr0(_159383), sbrdtbr0(xu))]]], (166 ^ _126679) ^ [_132099, _132101, _132103, _132105] : [-(sdtasasdt0(_132105, _132101) = sdtasasdt0(_132103, _132099)), _132105 = _132103, _132101 = _132099], (176 ^ _126679) ^ [_132430, _132432] : [_132432 = _132430, -(smndt0(_132432) = smndt0(_132430))], (182 ^ _126679) ^ [_132676, _132678, _132680, _132682] : [-(sdtpldt1(_132682, _132678) = sdtpldt1(_132680, _132676)), _132682 = _132680, _132678 = _132676], (192 ^ _126679) ^ [_133007, _133009] : [_133009 = _133007, -(slsdtgt0(_133009) = slsdtgt0(_133007))], (198 ^ _126679) ^ [_133253, _133255, _133257, _133259] : [-(sdtpldt0(_133259, _133255) = sdtpldt0(_133257, _133253)), _133259 = _133257, _133255 = _133253], (218 ^ _126679) ^ [_133923, _133925] : [_133925 = _133923, -(sbrdtbr0(_133925) = sbrdtbr0(_133923))], (208 ^ _126679) ^ [_133612, _133614, _133616, _133618] : [-(sdtasdt0(_133618, _133614) = sdtasdt0(_133616, _133612)), _133618 = _133616, _133614 = _133612], (2 ^ _126679) ^ [_126823] : [-(_126823 = _126823)], (4 ^ _126679) ^ [_126930, _126932] : [_126932 = _126930, -(_126930 = _126932)], (10 ^ _126679) ^ [_127134, _127136, _127138] : [-(_127138 = _127134), _127138 = _127136, _127136 = _127134], (20 ^ _126679) ^ [_127503, _127505, _127507, _127509, _127511, _127513] : [-(sdteqdtlpzmzozddtrp0(_127511, _127507, _127503)), sdteqdtlpzmzozddtrp0(_127513, _127509, _127505), _127513 = _127511, _127509 = _127507, _127505 = _127503], (38 ^ _126679) ^ [_128056, _128058] : [-(aNaturalNumber0(_128056)), _128058 = _128056, aNaturalNumber0(_128058)], (48 ^ _126679) ^ [_128379, _128381, _128383, _128385] : [-(misRelativelyPrime0(_128383, _128379)), misRelativelyPrime0(_128385, _128381), _128385 = _128383, _128381 = _128379], (62 ^ _126679) ^ [_128795, _128797] : [-(aSet0(_128795)), _128797 = _128795, aSet0(_128797)], (72 ^ _126679) ^ [_129146, _129148, _129150, _129152, _129154, _129156] : [-(aGcdOfAnd0(_129154, _129150, _129146)), aGcdOfAnd0(_129156, _129152, _129148), _129156 = _129154, _129152 = _129150, _129148 = _129146], (90 ^ _126679) ^ [_129699, _129701] : [-(aIdeal0(_129699)), _129701 = _129699, aIdeal0(_129701)], (100 ^ _126679) ^ [_130022, _130024, _130026, _130028] : [-(aElementOf0(_130026, _130022)), aElementOf0(_130028, _130024), _130028 = _130026, _130024 = _130022], (114 ^ _126679) ^ [_130466, _130468, _130470, _130472] : [-(aDivisorOf0(_130470, _130466)), aDivisorOf0(_130472, _130468), _130472 = _130470, _130468 = _130466], (128 ^ _126679) ^ [_130910, _130912, _130914, _130916] : [-(doDivides0(_130914, _130910)), doDivides0(_130916, _130912), _130916 = _130914, _130912 = _130910], (142 ^ _126679) ^ [_131326, _131328] : [-(aElement0(_131326)), _131328 = _131326, aElement0(_131328)], (152 ^ _126679) ^ [_131629, _131631, _131633, _131635] : [-(iLess0(_131633, _131629)), iLess0(_131635, _131631), _131635 = _131633, _131631 = _131629], (224 ^ _126679) ^ [_134185] : [aElement0(_134185), true___, -(true___)], (234 ^ _126679) ^ [] : [-(aElement0(sz00))], (236 ^ _126679) ^ [] : [-(aElement0(sz10))], (238 ^ _126679) ^ [_134546] : [aElement0(_134546), -(aElement0(smndt0(_134546)))], (244 ^ _126679) ^ [_134750, _134752] : [-(aElement0(sdtpldt0(_134752, _134750))), aElement0(_134752), aElement0(_134750)], (254 ^ _126679) ^ [_135049, _135051] : [-(aElement0(sdtasdt0(_135051, _135049))), aElement0(_135051), aElement0(_135049)], (264 ^ _126679) ^ [_135348, _135350] : [-(sdtpldt0(_135350, _135348) = sdtpldt0(_135348, _135350)), aElement0(_135350), aElement0(_135348)], (274 ^ _126679) ^ [_135669, _135671, _135673] : [-(sdtpldt0(sdtpldt0(_135673, _135671), _135669) = sdtpldt0(_135673, sdtpldt0(_135671, _135669))), aElement0(_135673), aElement0(_135671), aElement0(_135669)], (288 ^ _126679) ^ [_136075] : [aElement0(_136075), 291 ^ _126679 : [(292 ^ _126679) ^ [] : [-(sdtpldt0(_136075, sz00) = _136075)], (294 ^ _126679) ^ [] : [-(_136075 = sdtpldt0(sz00, _136075))]]], (296 ^ _126679) ^ [_136348] : [aElement0(_136348), 299 ^ _126679 : [(300 ^ _126679) ^ [] : [-(sdtpldt0(_136348, smndt0(_136348)) = sz00)], (302 ^ _126679) ^ [] : [-(sz00 = sdtpldt0(smndt0(_136348), _136348))]]], (304 ^ _126679) ^ [_136643, _136645] : [-(sdtasdt0(_136645, _136643) = sdtasdt0(_136643, _136645)), aElement0(_136645), aElement0(_136643)], (314 ^ _126679) ^ [_136964, _136966, _136968] : [-(sdtasdt0(sdtasdt0(_136968, _136966), _136964) = sdtasdt0(_136968, sdtasdt0(_136966, _136964))), aElement0(_136968), aElement0(_136966), aElement0(_136964)], (328 ^ _126679) ^ [_137370] : [aElement0(_137370), 331 ^ _126679 : [(332 ^ _126679) ^ [] : [-(sdtasdt0(_137370, sz10) = _137370)], (334 ^ _126679) ^ [] : [-(_137370 = sdtasdt0(sz10, _137370))]]], (336 ^ _126679) ^ [_137671, _137673, _137675] : [347 ^ _126679 : [(348 ^ _126679) ^ [] : [-(sdtasdt0(_137675, sdtpldt0(_137673, _137671)) = sdtpldt0(sdtasdt0(_137675, _137673), sdtasdt0(_137675, _137671)))], (350 ^ _126679) ^ [] : [-(sdtasdt0(sdtpldt0(_137673, _137671), _137675) = sdtpldt0(sdtasdt0(_137673, _137675), sdtasdt0(_137671, _137675)))]], aElement0(_137675), aElement0(_137673), aElement0(_137671)], (352 ^ _126679) ^ [_138190] : [aElement0(_138190), 355 ^ _126679 : [(356 ^ _126679) ^ [] : [-(sdtasdt0(smndt0(sz10), _138190) = smndt0(_138190))], (358 ^ _126679) ^ [] : [-(smndt0(_138190) = sdtasdt0(_138190, smndt0(sz10)))]]], (360 ^ _126679) ^ [_138471] : [aElement0(_138471), 363 ^ _126679 : [(364 ^ _126679) ^ [] : [-(sdtasdt0(_138471, sz00) = sz00)], (366 ^ _126679) ^ [] : [-(sz00 = sdtasdt0(sz00, _138471))]]], (368 ^ _126679) ^ [_138758, _138760] : [aElement0(_138760), aElement0(_138758), sdtasdt0(_138760, _138758) = sz00, -(_138760 = sz00), -(_138758 = sz00)], (386 ^ _126679) ^ [] : [sz10 = sz00], (388 ^ _126679) ^ [_139278] : [aSet0(_139278), true___, -(true___)], (398 ^ _126679) ^ [_139533] : [aSet0(_139533), 401 ^ _126679 : [(402 ^ _126679) ^ [_139663] : [aElementOf0(_139663, _139533), -(aElement0(_139663))]]], (408 ^ _126679) ^ [_139878, _139880] : [aSet0(_139880), aSet0(_139878), -(_139880 = _139878), 420 ^ _126679 : [(421 ^ _126679) ^ [] : [-(aElementOf0(419 ^ [_139878, _139880], _139880))], (423 ^ _126679) ^ [] : [aElementOf0(419 ^ [_139878, _139880], _139878)]], 425 ^ _126679 : [(426 ^ _126679) ^ [] : [-(aElementOf0(424 ^ [_139878, _139880], _139878))], (428 ^ _126679) ^ [] : [aElementOf0(424 ^ [_139878, _139880], _139880)]]], (432 ^ _126679) ^ [_140643, _140645] : [aSet0(_140645), aSet0(_140643), 439 ^ _126679 : [(472 ^ _126679) ^ [_142273] : [-(_142273 = sdtpldt1(_140645, _140643)), aSet0(_142273), 494 ^ _126679 : [(495 ^ _126679) ^ [] : [-(aElementOf0(492 ^ [_140643, _140645, _142273], _140645))], (497 ^ _126679) ^ [] : [-(aElementOf0(493 ^ [_140643, _140645, _142273], _140643))], (499 ^ _126679) ^ [] : [-(sdtpldt0(492 ^ [_140643, _140645, _142273], 493 ^ [_140643, _140645, _142273]) = 477 ^ [_140643, _140645, _142273])], (501 ^ _126679) ^ [] : [aElementOf0(477 ^ [_140643, _140645, _142273], _142273)]], 480 ^ _126679 : [(481 ^ _126679) ^ [] : [-(aElementOf0(477 ^ [_140643, _140645, _142273], _142273))], (483 ^ _126679) ^ [_142702, _142704] : [aElementOf0(_142704, _140645), aElementOf0(_142702, _140643), sdtpldt0(_142704, _142702) = 477 ^ [_140643, _140645, _142273]]]], (440 ^ _126679) ^ [_140938] : [_140938 = sdtpldt1(_140645, _140643), 443 ^ _126679 : [(444 ^ _126679) ^ [] : [-(aSet0(_140938))], (446 ^ _126679) ^ [_141215] : [aElementOf0(_141215, _140938), 451 ^ _126679 : [(452 ^ _126679) ^ [] : [-(aElementOf0(449 ^ [_140643, _140645, _140938, _141215], _140645))], (454 ^ _126679) ^ [] : [-(aElementOf0(450 ^ [_140643, _140645, _140938, _141215], _140643))], (456 ^ _126679) ^ [] : [-(sdtpldt0(449 ^ [_140643, _140645, _140938, _141215], 450 ^ [_140643, _140645, _140938, _141215]) = _141215)]]], (458 ^ _126679) ^ [_141775] : [-(aElementOf0(_141775, _140938)), 459 ^ _126679 : [(460 ^ _126679) ^ [_141905, _141907] : [aElementOf0(_141907, _140645), aElementOf0(_141905, _140643), sdtpldt0(_141907, _141905) = _141775]]]]]]], (505 ^ _126679) ^ [_143623, _143625] : [aSet0(_143625), aSet0(_143623), 512 ^ _126679 : [(537 ^ _126679) ^ [_144702] : [-(_144702 = sdtasasdt0(_143625, _143623)), aSet0(_144702), 553 ^ _126679 : [(554 ^ _126679) ^ [] : [-(aElementOf0(542 ^ [_143623, _143625, _144702], _143625))], (556 ^ _126679) ^ [] : [-(aElementOf0(542 ^ [_143623, _143625, _144702], _143623))], (558 ^ _126679) ^ [] : [aElementOf0(542 ^ [_143623, _143625, _144702], _144702)]], 545 ^ _126679 : [(546 ^ _126679) ^ [] : [-(aElementOf0(542 ^ [_143623, _143625, _144702], _144702))], (548 ^ _126679) ^ [] : [aElementOf0(542 ^ [_143623, _143625, _144702], _143625), aElementOf0(542 ^ [_143623, _143625, _144702], _143623)]]], (513 ^ _126679) ^ [_143899] : [_143899 = sdtasasdt0(_143625, _143623), 516 ^ _126679 : [(517 ^ _126679) ^ [] : [-(aSet0(_143899))], (519 ^ _126679) ^ [_144157] : [aElementOf0(_144157, _143899), 522 ^ _126679 : [(523 ^ _126679) ^ [] : [-(aElementOf0(_144157, _143625))], (525 ^ _126679) ^ [] : [-(aElementOf0(_144157, _143623))]]], (527 ^ _126679) ^ [_144416] : [-(aElementOf0(_144416, _143899)), aElementOf0(_144416, _143625), aElementOf0(_144416, _143623)]]]]], (584 ^ _126679) ^ [_146367] : [-(aIdeal0(_146367)), aSet0(_146367), 590 ^ _126679 : [(591 ^ _126679) ^ [] : [-(aElementOf0(589 ^ [_146367], _146367))], (593 ^ _126679) ^ [] : [595 ^ _126679 : [(596 ^ _126679) ^ [] : [-(aElementOf0(594 ^ [_146367], _146367))], (598 ^ _126679) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_146367], 594 ^ [_146367]), _146367)]], 600 ^ _126679 : [(601 ^ _126679) ^ [] : [-(aElement0(599 ^ [_146367]))], (603 ^ _126679) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_146367], 589 ^ [_146367]), _146367)]]]]], (562 ^ _126679) ^ [_145572] : [aIdeal0(_145572), 565 ^ _126679 : [(566 ^ _126679) ^ [] : [-(aSet0(_145572))], (568 ^ _126679) ^ [_145804] : [aElementOf0(_145804, _145572), 571 ^ _126679 : [(572 ^ _126679) ^ [_145985] : [aElementOf0(_145985, _145572), -(aElementOf0(sdtpldt0(_145804, _145985), _145572))], (578 ^ _126679) ^ [_146177] : [aElement0(_146177), -(aElementOf0(sdtasdt0(_146177, _145804), _145572))]]]]], (607 ^ _126679) ^ [_147207, _147209] : [-(aIdeal0(sdtpldt1(_147209, _147207))), aIdeal0(_147209), aIdeal0(_147207)], (617 ^ _126679) ^ [_147506, _147508] : [-(aIdeal0(sdtasasdt0(_147508, _147506))), aIdeal0(_147508), aIdeal0(_147506)], (627 ^ _126679) ^ [_147819, _147821, _147823] : [aElement0(_147823), aElement0(_147821), aIdeal0(_147819), 638 ^ _126679 : [(639 ^ _126679) ^ [] : [sdteqdtlpzmzozddtrp0(_147823, _147821, _147819), -(aElementOf0(sdtpldt0(_147823, smndt0(_147821)), _147819))], (645 ^ _126679) ^ [] : [aElementOf0(sdtpldt0(_147823, smndt0(_147821)), _147819), -(sdteqdtlpzmzozddtrp0(_147823, _147821, _147819))]]], (651 ^ _126679) ^ [_148497, _148499] : [aIdeal0(_148499), aIdeal0(_148497), 661 ^ _126679 : [(662 ^ _126679) ^ [] : [-(aElement0(660 ^ [_148497, _148499]))], (664 ^ _126679) ^ [] : [aElementOf0(660 ^ [_148497, _148499], sdtpldt1(_148499, _148497))]], 665 ^ _126679 : [(666 ^ _126679) ^ [_148995, _148997] : [674 ^ _126679 : [(675 ^ _126679) ^ [] : [-(aElement0(673 ^ [_148497, _148499, _148995, _148997]))], (677 ^ _126679) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_148497, _148499, _148995, _148997], _148997, _148499))], (679 ^ _126679) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_148497, _148499, _148995, _148997], _148995, _148497))]], aElement0(_148997), aElement0(_148995)]]], (681 ^ _126679) ^ [_149575] : [aNaturalNumber0(_149575), true___, -(true___)], (691 ^ _126679) ^ [_149830] : [-(aNaturalNumber0(sbrdtbr0(_149830))), aElement0(_149830), -(_149830 = sz00)], (701 ^ _126679) ^ [_150122, _150124] : [aNaturalNumber0(_150124), aNaturalNumber0(_150122), iLess0(_150124, _150122), true___, -(true___)], (719 ^ _126679) ^ [_150582, _150584] : [732 ^ _126679 : [(733 ^ _126679) ^ [] : [-(aElement0(730 ^ [_150582, _150584]))], (735 ^ _126679) ^ [] : [-(aElement0(731 ^ [_150582, _150584]))], (737 ^ _126679) ^ [] : [-(_150584 = sdtpldt0(sdtasdt0(730 ^ [_150582, _150584], _150582), 731 ^ [_150582, _150584]))], (739 ^ _126679) ^ [] : [-(731 ^ [_150582, _150584] = sz00), -(iLess0(sbrdtbr0(731 ^ [_150582, _150584]), sbrdtbr0(_150582)))]], aElement0(_150584), aElement0(_150582), -(_150582 = sz00)], (745 ^ _126679) ^ [_151529, _151531] : [aElement0(_151531), aElement0(_151529), 752 ^ _126679 : [(753 ^ _126679) ^ [] : [doDivides0(_151531, _151529), 757 ^ _126679 : [(758 ^ _126679) ^ [] : [-(aElement0(756 ^ [_151529, _151531]))], (760 ^ _126679) ^ [] : [-(sdtasdt0(_151531, 756 ^ [_151529, _151531]) = _151529)]]], (762 ^ _126679) ^ [] : [-(doDivides0(_151531, _151529)), 763 ^ _126679 : [(764 ^ _126679) ^ [_152089] : [aElement0(_152089), sdtasdt0(_151531, _152089) = _151529]]]]], (772 ^ _126679) ^ [_152358] : [aElement0(_152358), 775 ^ _126679 : [(776 ^ _126679) ^ [_152523] : [aDivisorOf0(_152523, _152358), 779 ^ _126679 : [(780 ^ _126679) ^ [] : [-(aElement0(_152523))], (782 ^ _126679) ^ [] : [-(doDivides0(_152523, _152358))]]], (784 ^ _126679) ^ [_152760] : [-(aDivisorOf0(_152760, _152358)), aElement0(_152760), doDivides0(_152760, _152358)]]], (794 ^ _126679) ^ [_153066, _153068] : [aElement0(_153068), aElement0(_153066), 801 ^ _126679 : [(802 ^ _126679) ^ [_153347] : [aGcdOfAnd0(_153347, _153068, _153066), 805 ^ _126679 : [(806 ^ _126679) ^ [] : [-(aDivisorOf0(_153347, _153068))], (808 ^ _126679) ^ [] : [-(aDivisorOf0(_153347, _153066))], (810 ^ _126679) ^ [_153648] : [-(doDivides0(_153648, _153347)), aDivisorOf0(_153648, _153068), aDivisorOf0(_153648, _153066)]]], (820 ^ _126679) ^ [_153934] : [-(aGcdOfAnd0(_153934, _153068, _153066)), aDivisorOf0(_153934, _153068), aDivisorOf0(_153934, _153066), 830 ^ _126679 : [(831 ^ _126679) ^ [] : [-(aDivisorOf0(829 ^ [_153066, _153068, _153934], _153068))], (833 ^ _126679) ^ [] : [-(aDivisorOf0(829 ^ [_153066, _153068, _153934], _153066))], (835 ^ _126679) ^ [] : [doDivides0(829 ^ [_153066, _153068, _153934], _153934)]]]]], (839 ^ _126679) ^ [_154599, _154601] : [aElement0(_154601), aElement0(_154599), 846 ^ _126679 : [(847 ^ _126679) ^ [] : [misRelativelyPrime0(_154601, _154599), -(aGcdOfAnd0(sz10, _154601, _154599))], (853 ^ _126679) ^ [] : [aGcdOfAnd0(sz10, _154601, _154599), -(misRelativelyPrime0(_154601, _154599))]]], (914 ^ _126679) ^ [_157198] : [aElement0(_157198), -(aIdeal0(slsdtgt0(_157198)))], (920 ^ _126679) ^ [] : [-(aElement0(xa))], (922 ^ _126679) ^ [] : [-(aElement0(xb))], (924 ^ _126679) ^ [] : [xa = sz00, xb = sz00], (930 ^ _126679) ^ [] : [-(aGcdOfAnd0(xc, xa, xb))], (932 ^ _126679) ^ [] : [-(aIdeal0(xI))], (934 ^ _126679) ^ [] : [-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))], (936 ^ _126679) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xa)))], (938 ^ _126679) ^ [] : [-(aElementOf0(xa, slsdtgt0(xa)))], (940 ^ _126679) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xb)))], (942 ^ _126679) ^ [] : [-(aElementOf0(xb, slsdtgt0(xb)))], (945 ^ _126679) ^ [] : [-(aElementOf0(943 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))], (947 ^ _126679) ^ [] : [943 ^ [] = sz00], (971 ^ _126679) ^ [] : [-(aElement0(968 ^ []))], (973 ^ _126679) ^ [] : [-(aElement0(969 ^ []))], (975 ^ _126679) ^ [] : [-(xu = sdtpldt0(sdtasdt0(xa, 968 ^ []), sdtasdt0(xb, 969 ^ [])))], (977 ^ _126679) ^ [] : [-(doDivides0(xu, xa))], (979 ^ _126679) ^ [] : [doDivides0(xu, xb)], (963 ^ _126679) ^ [] : [aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)], (949 ^ _126679) ^ [] : [-(aElementOf0(xu, xI))], (951 ^ _126679) ^ [] : [xu = sz00], (953 ^ _126679) ^ [_158250] : [iLess0(sbrdtbr0(_158250), sbrdtbr0(xu)), aElementOf0(_158250, xI), -(_158250 = sz00)], (859 ^ _126679) ^ [_155135] : [aElement0(_155135), 862 ^ _126679 : [(888 ^ _126679) ^ [_156259] : [-(_156259 = slsdtgt0(_155135)), aSet0(_156259), 905 ^ _126679 : [(906 ^ _126679) ^ [] : [-(aElement0(904 ^ [_155135, _156259]))], (908 ^ _126679) ^ [] : [-(sdtasdt0(_155135, 904 ^ [_155135, _156259]) = 893 ^ [_155135, _156259])], (910 ^ _126679) ^ [] : [aElementOf0(893 ^ [_155135, _156259], _156259)]], 896 ^ _126679 : [(897 ^ _126679) ^ [] : [-(aElementOf0(893 ^ [_155135, _156259], _156259))], (899 ^ _126679) ^ [_156631] : [aElement0(_156631), sdtasdt0(_155135, _156631) = 893 ^ [_155135, _156259]]]], (863 ^ _126679) ^ [_155326] : [_155326 = slsdtgt0(_155135), 866 ^ _126679 : [(867 ^ _126679) ^ [] : [-(aSet0(_155326))], (869 ^ _126679) ^ [_155581] : [aElementOf0(_155581, _155326), 873 ^ _126679 : [(874 ^ _126679) ^ [] : [-(aElement0(872 ^ [_155135, _155326, _155581]))], (876 ^ _126679) ^ [] : [-(sdtasdt0(_155135, 872 ^ [_155135, _155326, _155581]) = _155581)]]], (878 ^ _126679) ^ [_155914] : [-(aElementOf0(_155914, _155326)), 879 ^ _126679 : [(880 ^ _126679) ^ [_156014] : [aElement0(_156014), sdtasdt0(_155135, _156014) = _155914]]]]]]]], input).
% 28.87/28.26 ncf('1',plain,[xu = sz00],start(951 ^ 0)).
% 28.87/28.26 ncf('1.1',plain,[-(xu = sz00), 737 : -(xb = sdtpldt0(sdtasdt0(730 ^ [xu, xb], xu), 731 ^ [xu, xb])), 737 : aElement0(xb), 737 : aElement0(xu)],extension(719 ^ 1,bind([[_150582, _150584], [xu, xb]]))).
% 28.87/28.26 ncf('1.1.1',plain,[xb = sdtpldt0(sdtasdt0(730 ^ [xu, xb], xu), 731 ^ [xu, xb]), aElement0(730 ^ [xu, xb]), aElement0(731 ^ [xu, xb]), 993 : 731 ^ [xu, xb] = sz00],extension(981 ^ 4,bind([[_159383, _159385], [731 ^ [xu, xb], 730 ^ [xu, xb]]]))).
% 28.87/28.26 ncf('1.1.1.1',plain,[-(aElement0(730 ^ [xu, xb]))],extension(733 ^ 5)).
% 28.87/28.26 ncf('1.1.1.2',plain,[-(aElement0(731 ^ [xu, xb]))],extension(735 ^ 5)).
% 28.87/28.26 ncf('1.1.1.3',plain,[-(731 ^ [xu, xb] = sz00), -(iLess0(sbrdtbr0(731 ^ [xu, xb]), sbrdtbr0(xu)))],extension(739 ^ 7)).
% 28.87/28.26 ncf('1.1.1.3.1',plain,[iLess0(sbrdtbr0(731 ^ [xu, xb]), sbrdtbr0(xu))],extension(995 ^ 8)).
% 28.87/28.26 ncf('1.1.2',plain,[-(aElement0(xb))],extension(922 ^ 2)).
% 28.87/28.26 ncf('1.1.3',plain,[-(aElement0(xu)), 402 : aElementOf0(xu, sdtasasdt0(xI, xI)), 402 : aSet0(sdtasasdt0(xI, xI))],extension(398 ^ 2,bind([[_139533, _139663], [sdtasasdt0(xI, xI), xu]]))).
% 28.87/28.26 ncf('1.1.3.1',plain,[-(aElementOf0(xu, sdtasasdt0(xI, xI))), 527 : aElementOf0(xu, xI), 527 : aElementOf0(xu, xI), 527 : sdtasasdt0(xI, xI) = sdtasasdt0(xI, xI), 513 : aSet0(xI), 513 : aSet0(xI)],extension(505 ^ 5,bind([[_143623, _143625, _143899, _144416], [xI, xI, sdtasasdt0(xI, xI), xu]]))).
% 28.87/28.26 ncf('1.1.3.1.1',plain,[-(aElementOf0(xu, xI))],extension(949 ^ 10)).
% 28.87/28.26 ncf('1.1.3.1.2',plain,[-(aElementOf0(xu, xI))],extension(949 ^ 10)).
% 28.87/28.26 ncf('1.1.3.1.3',plain,[-(sdtasasdt0(xI, xI) = sdtasasdt0(xI, xI))],extension(2 ^ 8,bind([[_126823], [sdtasasdt0(xI, xI)]]))).
% 28.87/28.26 ncf('1.1.3.1.4',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(562 ^ 6,bind([[_145572], [xI]]))).
% 28.87/28.26 ncf('1.1.3.1.4.1',plain,[-(aIdeal0(xI))],extension(932 ^ 7)).
% 28.87/28.26 ncf('1.1.3.1.5',plain,[-(aSet0(xI))],lemmata('[3, 1, 1].x')).
% 28.87/28.26 ncf('1.1.3.2',plain,[-(aSet0(sdtasasdt0(xI, xI))), aIdeal0(sdtasasdt0(xI, xI))],extension(562 ^ 3,bind([[_145572], [sdtasasdt0(xI, xI)]]))).
% 28.87/28.26 ncf('1.1.3.2.1',plain,[-(aIdeal0(sdtasasdt0(xI, xI))), aIdeal0(xI), aIdeal0(xI)],extension(617 ^ 4,bind([[_147506, _147508], [xI, xI]]))).
% 28.87/28.26 ncf('1.1.3.2.1.1',plain,[-(aIdeal0(xI))],extension(932 ^ 5)).
% 28.87/28.26 ncf('1.1.3.2.1.2',plain,[-(aIdeal0(xI))],lemmata('[2, 3, 1, 1].x')).
% 28.87/28.26 %-----------------------------------------------------
% 28.87/28.26 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------