TSTP Solution File: RNG101+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG101+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:49:50 EDT 2023
% Result : Theorem 113.49s 109.88s
% Output : Proof 113.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG101+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 18 20:48:56 EDT 2023
% 0.12/0.33 % CPUTime :
% 113.49/109.88
% 113.49/109.88 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 113.49/109.88 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.49/109.88 %-----------------------------------------------------
% 113.49/109.88 ncf(matrix, plain, [(922 ^ _112515) ^ [_143483] : [aElement0(_143483), sdtasdt0(xc, _143483) = xx], (166 ^ _112515) ^ [_117935, _117937, _117939, _117941] : [-(sdtasasdt0(_117941, _117937) = sdtasasdt0(_117939, _117935)), _117941 = _117939, _117937 = _117935], (176 ^ _112515) ^ [_118266, _118268] : [_118268 = _118266, -(smndt0(_118268) = smndt0(_118266))], (182 ^ _112515) ^ [_118512, _118514, _118516, _118518] : [-(sdtpldt1(_118518, _118514) = sdtpldt1(_118516, _118512)), _118518 = _118516, _118514 = _118512], (192 ^ _112515) ^ [_118871, _118873, _118875, _118877] : [-(sdtpldt0(_118877, _118873) = sdtpldt0(_118875, _118871)), _118877 = _118875, _118873 = _118871], (202 ^ _112515) ^ [_119202, _119204] : [_119204 = _119202, -(sbrdtbr0(_119204) = sbrdtbr0(_119202))], (208 ^ _112515) ^ [_119420, _119422] : [_119422 = _119420, -(slsdtgt0(_119422) = slsdtgt0(_119420))], (214 ^ _112515) ^ [_119646, _119648, _119650, _119652] : [-(sdtasdt0(_119652, _119648) = sdtasdt0(_119650, _119646)), _119652 = _119650, _119648 = _119646], (2 ^ _112515) ^ [_112659] : [-(_112659 = _112659)], (4 ^ _112515) ^ [_112766, _112768] : [_112768 = _112766, -(_112766 = _112768)], (10 ^ _112515) ^ [_112970, _112972, _112974] : [-(_112974 = _112970), _112974 = _112972, _112972 = _112970], (20 ^ _112515) ^ [_113283, _113285] : [-(aIdeal0(_113283)), _113285 = _113283, aIdeal0(_113285)], (30 ^ _112515) ^ [_113634, _113636, _113638, _113640, _113642, _113644] : [-(sdteqdtlpzmzozddtrp0(_113642, _113638, _113634)), sdteqdtlpzmzozddtrp0(_113644, _113640, _113636), _113644 = _113642, _113640 = _113638, _113636 = _113634], (48 ^ _112515) ^ [_114187, _114189] : [-(aNaturalNumber0(_114187)), _114189 = _114187, aNaturalNumber0(_114189)], (58 ^ _112515) ^ [_114510, _114512, _114514, _114516] : [-(iLess0(_114514, _114510)), iLess0(_114516, _114512), _114516 = _114514, _114512 = _114510], (72 ^ _112515) ^ [_114954, _114956, _114958, _114960] : [-(aDivisorOf0(_114958, _114954)), aDivisorOf0(_114960, _114956), _114960 = _114958, _114956 = _114954], (86 ^ _112515) ^ [_115398, _115400, _115402, _115404] : [-(doDivides0(_115402, _115398)), doDivides0(_115404, _115400), _115404 = _115402, _115400 = _115398], (100 ^ _112515) ^ [_115842, _115844, _115846, _115848] : [-(misRelativelyPrime0(_115846, _115842)), misRelativelyPrime0(_115848, _115844), _115848 = _115846, _115844 = _115842], (114 ^ _112515) ^ [_116314, _116316, _116318, _116320, _116322, _116324] : [-(aGcdOfAnd0(_116322, _116318, _116314)), aGcdOfAnd0(_116324, _116320, _116316), _116324 = _116322, _116320 = _116318, _116316 = _116314], (132 ^ _112515) ^ [_116867, _116869] : [-(aSet0(_116867)), _116869 = _116867, aSet0(_116869)], (156 ^ _112515) ^ [_117586, _117588] : [-(aElement0(_117586)), _117588 = _117586, aElement0(_117588)], (142 ^ _112515) ^ [_117190, _117192, _117194, _117196] : [-(aElementOf0(_117194, _117190)), aElementOf0(_117196, _117192), _117196 = _117194, _117192 = _117190], (224 ^ _112515) ^ [_120021] : [aElement0(_120021), true___, -(true___)], (234 ^ _112515) ^ [] : [-(aElement0(sz00))], (236 ^ _112515) ^ [] : [-(aElement0(sz10))], (238 ^ _112515) ^ [_120382] : [aElement0(_120382), -(aElement0(smndt0(_120382)))], (244 ^ _112515) ^ [_120586, _120588] : [-(aElement0(sdtpldt0(_120588, _120586))), aElement0(_120588), aElement0(_120586)], (254 ^ _112515) ^ [_120885, _120887] : [-(aElement0(sdtasdt0(_120887, _120885))), aElement0(_120887), aElement0(_120885)], (264 ^ _112515) ^ [_121184, _121186] : [-(sdtpldt0(_121186, _121184) = sdtpldt0(_121184, _121186)), aElement0(_121186), aElement0(_121184)], (274 ^ _112515) ^ [_121505, _121507, _121509] : [-(sdtpldt0(sdtpldt0(_121509, _121507), _121505) = sdtpldt0(_121509, sdtpldt0(_121507, _121505))), aElement0(_121509), aElement0(_121507), aElement0(_121505)], (288 ^ _112515) ^ [_121911] : [aElement0(_121911), 291 ^ _112515 : [(292 ^ _112515) ^ [] : [-(sdtpldt0(_121911, sz00) = _121911)], (294 ^ _112515) ^ [] : [-(_121911 = sdtpldt0(sz00, _121911))]]], (296 ^ _112515) ^ [_122184] : [aElement0(_122184), 299 ^ _112515 : [(300 ^ _112515) ^ [] : [-(sdtpldt0(_122184, smndt0(_122184)) = sz00)], (302 ^ _112515) ^ [] : [-(sz00 = sdtpldt0(smndt0(_122184), _122184))]]], (304 ^ _112515) ^ [_122479, _122481] : [-(sdtasdt0(_122481, _122479) = sdtasdt0(_122479, _122481)), aElement0(_122481), aElement0(_122479)], (314 ^ _112515) ^ [_122800, _122802, _122804] : [-(sdtasdt0(sdtasdt0(_122804, _122802), _122800) = sdtasdt0(_122804, sdtasdt0(_122802, _122800))), aElement0(_122804), aElement0(_122802), aElement0(_122800)], (328 ^ _112515) ^ [_123206] : [aElement0(_123206), 331 ^ _112515 : [(332 ^ _112515) ^ [] : [-(sdtasdt0(_123206, sz10) = _123206)], (334 ^ _112515) ^ [] : [-(_123206 = sdtasdt0(sz10, _123206))]]], (336 ^ _112515) ^ [_123507, _123509, _123511] : [347 ^ _112515 : [(348 ^ _112515) ^ [] : [-(sdtasdt0(_123511, sdtpldt0(_123509, _123507)) = sdtpldt0(sdtasdt0(_123511, _123509), sdtasdt0(_123511, _123507)))], (350 ^ _112515) ^ [] : [-(sdtasdt0(sdtpldt0(_123509, _123507), _123511) = sdtpldt0(sdtasdt0(_123509, _123511), sdtasdt0(_123507, _123511)))]], aElement0(_123511), aElement0(_123509), aElement0(_123507)], (352 ^ _112515) ^ [_124026] : [aElement0(_124026), 355 ^ _112515 : [(356 ^ _112515) ^ [] : [-(sdtasdt0(smndt0(sz10), _124026) = smndt0(_124026))], (358 ^ _112515) ^ [] : [-(smndt0(_124026) = sdtasdt0(_124026, smndt0(sz10)))]]], (360 ^ _112515) ^ [_124307] : [aElement0(_124307), 363 ^ _112515 : [(364 ^ _112515) ^ [] : [-(sdtasdt0(_124307, sz00) = sz00)], (366 ^ _112515) ^ [] : [-(sz00 = sdtasdt0(sz00, _124307))]]], (368 ^ _112515) ^ [_124594, _124596] : [aElement0(_124596), aElement0(_124594), sdtasdt0(_124596, _124594) = sz00, -(_124596 = sz00), -(_124594 = sz00)], (386 ^ _112515) ^ [] : [sz10 = sz00], (388 ^ _112515) ^ [_125114] : [aSet0(_125114), true___, -(true___)], (398 ^ _112515) ^ [_125369] : [aSet0(_125369), 401 ^ _112515 : [(402 ^ _112515) ^ [_125499] : [aElementOf0(_125499, _125369), -(aElement0(_125499))]]], (408 ^ _112515) ^ [_125714, _125716] : [aSet0(_125716), aSet0(_125714), -(_125716 = _125714), 420 ^ _112515 : [(421 ^ _112515) ^ [] : [-(aElementOf0(419 ^ [_125714, _125716], _125716))], (423 ^ _112515) ^ [] : [aElementOf0(419 ^ [_125714, _125716], _125714)]], 425 ^ _112515 : [(426 ^ _112515) ^ [] : [-(aElementOf0(424 ^ [_125714, _125716], _125714))], (428 ^ _112515) ^ [] : [aElementOf0(424 ^ [_125714, _125716], _125716)]]], (432 ^ _112515) ^ [_126479, _126481] : [aSet0(_126481), aSet0(_126479), 439 ^ _112515 : [(472 ^ _112515) ^ [_128109] : [-(_128109 = sdtpldt1(_126481, _126479)), aSet0(_128109), 494 ^ _112515 : [(495 ^ _112515) ^ [] : [-(aElementOf0(492 ^ [_126479, _126481, _128109], _126481))], (497 ^ _112515) ^ [] : [-(aElementOf0(493 ^ [_126479, _126481, _128109], _126479))], (499 ^ _112515) ^ [] : [-(sdtpldt0(492 ^ [_126479, _126481, _128109], 493 ^ [_126479, _126481, _128109]) = 477 ^ [_126479, _126481, _128109])], (501 ^ _112515) ^ [] : [aElementOf0(477 ^ [_126479, _126481, _128109], _128109)]], 480 ^ _112515 : [(481 ^ _112515) ^ [] : [-(aElementOf0(477 ^ [_126479, _126481, _128109], _128109))], (483 ^ _112515) ^ [_128538, _128540] : [aElementOf0(_128540, _126481), aElementOf0(_128538, _126479), sdtpldt0(_128540, _128538) = 477 ^ [_126479, _126481, _128109]]]], (440 ^ _112515) ^ [_126774] : [_126774 = sdtpldt1(_126481, _126479), 443 ^ _112515 : [(444 ^ _112515) ^ [] : [-(aSet0(_126774))], (446 ^ _112515) ^ [_127051] : [aElementOf0(_127051, _126774), 451 ^ _112515 : [(452 ^ _112515) ^ [] : [-(aElementOf0(449 ^ [_126479, _126481, _126774, _127051], _126481))], (454 ^ _112515) ^ [] : [-(aElementOf0(450 ^ [_126479, _126481, _126774, _127051], _126479))], (456 ^ _112515) ^ [] : [-(sdtpldt0(449 ^ [_126479, _126481, _126774, _127051], 450 ^ [_126479, _126481, _126774, _127051]) = _127051)]]], (458 ^ _112515) ^ [_127611] : [-(aElementOf0(_127611, _126774)), 459 ^ _112515 : [(460 ^ _112515) ^ [_127741, _127743] : [aElementOf0(_127743, _126481), aElementOf0(_127741, _126479), sdtpldt0(_127743, _127741) = _127611]]]]]]], (505 ^ _112515) ^ [_129459, _129461] : [aSet0(_129461), aSet0(_129459), 512 ^ _112515 : [(537 ^ _112515) ^ [_130538] : [-(_130538 = sdtasasdt0(_129461, _129459)), aSet0(_130538), 553 ^ _112515 : [(554 ^ _112515) ^ [] : [-(aElementOf0(542 ^ [_129459, _129461, _130538], _129461))], (556 ^ _112515) ^ [] : [-(aElementOf0(542 ^ [_129459, _129461, _130538], _129459))], (558 ^ _112515) ^ [] : [aElementOf0(542 ^ [_129459, _129461, _130538], _130538)]], 545 ^ _112515 : [(546 ^ _112515) ^ [] : [-(aElementOf0(542 ^ [_129459, _129461, _130538], _130538))], (548 ^ _112515) ^ [] : [aElementOf0(542 ^ [_129459, _129461, _130538], _129461), aElementOf0(542 ^ [_129459, _129461, _130538], _129459)]]], (513 ^ _112515) ^ [_129735] : [_129735 = sdtasasdt0(_129461, _129459), 516 ^ _112515 : [(517 ^ _112515) ^ [] : [-(aSet0(_129735))], (519 ^ _112515) ^ [_129993] : [aElementOf0(_129993, _129735), 522 ^ _112515 : [(523 ^ _112515) ^ [] : [-(aElementOf0(_129993, _129461))], (525 ^ _112515) ^ [] : [-(aElementOf0(_129993, _129459))]]], (527 ^ _112515) ^ [_130252] : [-(aElementOf0(_130252, _129735)), aElementOf0(_130252, _129461), aElementOf0(_130252, _129459)]]]]], (584 ^ _112515) ^ [_132203] : [-(aIdeal0(_132203)), aSet0(_132203), 590 ^ _112515 : [(591 ^ _112515) ^ [] : [-(aElementOf0(589 ^ [_132203], _132203))], (593 ^ _112515) ^ [] : [595 ^ _112515 : [(596 ^ _112515) ^ [] : [-(aElementOf0(594 ^ [_132203], _132203))], (598 ^ _112515) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_132203], 594 ^ [_132203]), _132203)]], 600 ^ _112515 : [(601 ^ _112515) ^ [] : [-(aElement0(599 ^ [_132203]))], (603 ^ _112515) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_132203], 589 ^ [_132203]), _132203)]]]]], (562 ^ _112515) ^ [_131408] : [aIdeal0(_131408), 565 ^ _112515 : [(566 ^ _112515) ^ [] : [-(aSet0(_131408))], (568 ^ _112515) ^ [_131640] : [aElementOf0(_131640, _131408), 571 ^ _112515 : [(572 ^ _112515) ^ [_131821] : [aElementOf0(_131821, _131408), -(aElementOf0(sdtpldt0(_131640, _131821), _131408))], (578 ^ _112515) ^ [_132013] : [aElement0(_132013), -(aElementOf0(sdtasdt0(_132013, _131640), _131408))]]]]], (607 ^ _112515) ^ [_133043, _133045] : [-(aIdeal0(sdtpldt1(_133045, _133043))), aIdeal0(_133045), aIdeal0(_133043)], (617 ^ _112515) ^ [_133342, _133344] : [-(aIdeal0(sdtasasdt0(_133344, _133342))), aIdeal0(_133344), aIdeal0(_133342)], (627 ^ _112515) ^ [_133655, _133657, _133659] : [aElement0(_133659), aElement0(_133657), aIdeal0(_133655), 638 ^ _112515 : [(639 ^ _112515) ^ [] : [sdteqdtlpzmzozddtrp0(_133659, _133657, _133655), -(aElementOf0(sdtpldt0(_133659, smndt0(_133657)), _133655))], (645 ^ _112515) ^ [] : [aElementOf0(sdtpldt0(_133659, smndt0(_133657)), _133655), -(sdteqdtlpzmzozddtrp0(_133659, _133657, _133655))]]], (651 ^ _112515) ^ [_134333, _134335] : [aIdeal0(_134335), aIdeal0(_134333), 661 ^ _112515 : [(662 ^ _112515) ^ [] : [-(aElement0(660 ^ [_134333, _134335]))], (664 ^ _112515) ^ [] : [aElementOf0(660 ^ [_134333, _134335], sdtpldt1(_134335, _134333))]], 665 ^ _112515 : [(666 ^ _112515) ^ [_134831, _134833] : [674 ^ _112515 : [(675 ^ _112515) ^ [] : [-(aElement0(673 ^ [_134333, _134335, _134831, _134833]))], (677 ^ _112515) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_134333, _134335, _134831, _134833], _134833, _134335))], (679 ^ _112515) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_134333, _134335, _134831, _134833], _134831, _134333))]], aElement0(_134833), aElement0(_134831)]]], (681 ^ _112515) ^ [_135411] : [aNaturalNumber0(_135411), true___, -(true___)], (691 ^ _112515) ^ [_135666] : [-(aNaturalNumber0(sbrdtbr0(_135666))), aElement0(_135666), -(_135666 = sz00)], (701 ^ _112515) ^ [_135958, _135960] : [aNaturalNumber0(_135960), aNaturalNumber0(_135958), iLess0(_135960, _135958), true___, -(true___)], (719 ^ _112515) ^ [_136418, _136420] : [732 ^ _112515 : [(733 ^ _112515) ^ [] : [-(aElement0(730 ^ [_136418, _136420]))], (735 ^ _112515) ^ [] : [-(aElement0(731 ^ [_136418, _136420]))], (737 ^ _112515) ^ [] : [-(_136420 = sdtpldt0(sdtasdt0(730 ^ [_136418, _136420], _136418), 731 ^ [_136418, _136420]))], (739 ^ _112515) ^ [] : [-(731 ^ [_136418, _136420] = sz00), -(iLess0(sbrdtbr0(731 ^ [_136418, _136420]), sbrdtbr0(_136418)))]], aElement0(_136420), aElement0(_136418), -(_136418 = sz00)], (745 ^ _112515) ^ [_137365, _137367] : [aElement0(_137367), aElement0(_137365), 752 ^ _112515 : [(753 ^ _112515) ^ [] : [doDivides0(_137367, _137365), 757 ^ _112515 : [(758 ^ _112515) ^ [] : [-(aElement0(756 ^ [_137365, _137367]))], (760 ^ _112515) ^ [] : [-(sdtasdt0(_137367, 756 ^ [_137365, _137367]) = _137365)]]], (762 ^ _112515) ^ [] : [-(doDivides0(_137367, _137365)), 763 ^ _112515 : [(764 ^ _112515) ^ [_137925] : [aElement0(_137925), sdtasdt0(_137367, _137925) = _137365]]]]], (772 ^ _112515) ^ [_138194] : [aElement0(_138194), 775 ^ _112515 : [(776 ^ _112515) ^ [_138359] : [aDivisorOf0(_138359, _138194), 779 ^ _112515 : [(780 ^ _112515) ^ [] : [-(aElement0(_138359))], (782 ^ _112515) ^ [] : [-(doDivides0(_138359, _138194))]]], (784 ^ _112515) ^ [_138596] : [-(aDivisorOf0(_138596, _138194)), aElement0(_138596), doDivides0(_138596, _138194)]]], (794 ^ _112515) ^ [_138902, _138904] : [aElement0(_138904), aElement0(_138902), 801 ^ _112515 : [(802 ^ _112515) ^ [_139183] : [aGcdOfAnd0(_139183, _138904, _138902), 805 ^ _112515 : [(806 ^ _112515) ^ [] : [-(aDivisorOf0(_139183, _138904))], (808 ^ _112515) ^ [] : [-(aDivisorOf0(_139183, _138902))], (810 ^ _112515) ^ [_139484] : [-(doDivides0(_139484, _139183)), aDivisorOf0(_139484, _138904), aDivisorOf0(_139484, _138902)]]], (820 ^ _112515) ^ [_139770] : [-(aGcdOfAnd0(_139770, _138904, _138902)), aDivisorOf0(_139770, _138904), aDivisorOf0(_139770, _138902), 830 ^ _112515 : [(831 ^ _112515) ^ [] : [-(aDivisorOf0(829 ^ [_138902, _138904, _139770], _138904))], (833 ^ _112515) ^ [] : [-(aDivisorOf0(829 ^ [_138902, _138904, _139770], _138902))], (835 ^ _112515) ^ [] : [doDivides0(829 ^ [_138902, _138904, _139770], _139770)]]]]], (839 ^ _112515) ^ [_140435, _140437] : [aElement0(_140437), aElement0(_140435), 846 ^ _112515 : [(847 ^ _112515) ^ [] : [misRelativelyPrime0(_140437, _140435), -(aGcdOfAnd0(sz10, _140437, _140435))], (853 ^ _112515) ^ [] : [aGcdOfAnd0(sz10, _140437, _140435), -(misRelativelyPrime0(_140437, _140435))]]], (914 ^ _112515) ^ [] : [-(aElement0(xc))], (916 ^ _112515) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (918 ^ _112515) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (920 ^ _112515) ^ [] : [-(aElement0(xz))], (859 ^ _112515) ^ [_140971] : [aElement0(_140971), 862 ^ _112515 : [(888 ^ _112515) ^ [_142095] : [-(_142095 = slsdtgt0(_140971)), aSet0(_142095), 905 ^ _112515 : [(906 ^ _112515) ^ [] : [-(aElement0(904 ^ [_140971, _142095]))], (908 ^ _112515) ^ [] : [-(sdtasdt0(_140971, 904 ^ [_140971, _142095]) = 893 ^ [_140971, _142095])], (910 ^ _112515) ^ [] : [aElementOf0(893 ^ [_140971, _142095], _142095)]], 896 ^ _112515 : [(897 ^ _112515) ^ [] : [-(aElementOf0(893 ^ [_140971, _142095], _142095))], (899 ^ _112515) ^ [_142467] : [aElement0(_142467), sdtasdt0(_140971, _142467) = 893 ^ [_140971, _142095]]]], (863 ^ _112515) ^ [_141162] : [_141162 = slsdtgt0(_140971), 866 ^ _112515 : [(867 ^ _112515) ^ [] : [-(aSet0(_141162))], (869 ^ _112515) ^ [_141417] : [aElementOf0(_141417, _141162), 873 ^ _112515 : [(874 ^ _112515) ^ [] : [-(aElement0(872 ^ [_140971, _141162, _141417]))], (876 ^ _112515) ^ [] : [-(sdtasdt0(_140971, 872 ^ [_140971, _141162, _141417]) = _141417)]]], (878 ^ _112515) ^ [_141750] : [-(aElementOf0(_141750, _141162)), 879 ^ _112515 : [(880 ^ _112515) ^ [_141850] : [aElement0(_141850), sdtasdt0(_140971, _141850) = _141750]]]]]]]], input).
% 113.49/109.88 ncf('1',plain,[aElement0(872 ^ [xc, slsdtgt0(xc), xx]), sdtasdt0(xc, 872 ^ [xc, slsdtgt0(xc), xx]) = xx],start(922 ^ 0,bind([[_143483], [872 ^ [xc, slsdtgt0(xc), xx]]]))).
% 113.49/109.88 ncf('1.1',plain,[-(aElement0(872 ^ [xc, slsdtgt0(xc), xx])), 869 : aElementOf0(xx, slsdtgt0(xc)), 869 : slsdtgt0(xc) = slsdtgt0(xc), 863 : aElement0(xc)],extension(859 ^ 1,bind([[_140971, _141162, _141417], [xc, slsdtgt0(xc), xx]]))).
% 113.49/109.88 ncf('1.1.1',plain,[-(aElementOf0(xx, slsdtgt0(xc)))],extension(916 ^ 6)).
% 113.49/109.88 ncf('1.1.2',plain,[-(slsdtgt0(xc) = slsdtgt0(xc))],extension(2 ^ 4,bind([[_112659], [slsdtgt0(xc)]]))).
% 113.49/109.88 ncf('1.1.3',plain,[-(aElement0(xc))],extension(914 ^ 2)).
% 113.49/109.88 ncf('1.2',plain,[-(sdtasdt0(xc, 872 ^ [xc, slsdtgt0(xc), xx]) = xx), 869 : aElementOf0(xx, slsdtgt0(xc)), 869 : slsdtgt0(xc) = slsdtgt0(xc), 863 : aElement0(xc)],extension(859 ^ 1,bind([[_140971, _141162, _141417], [xc, slsdtgt0(xc), xx]]))).
% 113.49/109.88 ncf('1.2.1',plain,[-(aElementOf0(xx, slsdtgt0(xc)))],extension(916 ^ 6)).
% 113.49/109.88 ncf('1.2.2',plain,[-(slsdtgt0(xc) = slsdtgt0(xc))],extension(2 ^ 4,bind([[_112659], [slsdtgt0(xc)]]))).
% 113.49/109.88 ncf('1.2.3',plain,[-(aElement0(xc))],extension(914 ^ 2)).
% 113.49/109.88 %-----------------------------------------------------
% 113.49/109.88 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------