TSTP Solution File: RNG124+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 0.35s 1.40s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 20:44:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.35/1.40
% 0.35/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.40 %-----------------------------------------------------
% 0.35/1.40 ncf(matrix, plain, [(1003 ^ _122809) ^ [] : [false___, -(false___)], (166 ^ _122809) ^ [_128229, _128231, _128233, _128235] : [-(sdtasasdt0(_128235, _128231) = sdtasasdt0(_128233, _128229)), _128235 = _128233, _128231 = _128229], (176 ^ _122809) ^ [_128588, _128590, _128592, _128594] : [-(sdtpldt1(_128594, _128590) = sdtpldt1(_128592, _128588)), _128594 = _128592, _128590 = _128588], (186 ^ _122809) ^ [_128919, _128921] : [_128921 = _128919, -(slsdtgt0(_128921) = slsdtgt0(_128919))], (192 ^ _122809) ^ [_129137, _129139] : [_129139 = _129137, -(sbrdtbr0(_129139) = sbrdtbr0(_129137))], (198 ^ _122809) ^ [_129383, _129385, _129387, _129389] : [-(sdtpldt0(_129389, _129385) = sdtpldt0(_129387, _129383)), _129389 = _129387, _129385 = _129383], (208 ^ _122809) ^ [_129714, _129716] : [_129716 = _129714, -(smndt0(_129716) = smndt0(_129714))], (214 ^ _122809) ^ [_129940, _129942, _129944, _129946] : [-(sdtasdt0(_129946, _129942) = sdtasdt0(_129944, _129940)), _129946 = _129944, _129942 = _129940], (2 ^ _122809) ^ [_122953] : [-(_122953 = _122953)], (4 ^ _122809) ^ [_123060, _123062] : [_123062 = _123060, -(_123060 = _123062)], (10 ^ _122809) ^ [_123264, _123266, _123268] : [-(_123268 = _123264), _123268 = _123266, _123266 = _123264], (20 ^ _122809) ^ [_123633, _123635, _123637, _123639, _123641, _123643] : [-(sdteqdtlpzmzozddtrp0(_123641, _123637, _123633)), sdteqdtlpzmzozddtrp0(_123643, _123639, _123635), _123643 = _123641, _123639 = _123637, _123635 = _123633], (38 ^ _122809) ^ [_124186, _124188] : [-(aNaturalNumber0(_124186)), _124188 = _124186, aNaturalNumber0(_124188)], (48 ^ _122809) ^ [_124509, _124511, _124513, _124515] : [-(misRelativelyPrime0(_124513, _124509)), misRelativelyPrime0(_124515, _124511), _124515 = _124513, _124511 = _124509], (62 ^ _122809) ^ [_124925, _124927] : [-(aSet0(_124925)), _124927 = _124925, aSet0(_124927)], (72 ^ _122809) ^ [_125276, _125278, _125280, _125282, _125284, _125286] : [-(aGcdOfAnd0(_125284, _125280, _125276)), aGcdOfAnd0(_125286, _125282, _125278), _125286 = _125284, _125282 = _125280, _125278 = _125276], (90 ^ _122809) ^ [_125829, _125831] : [-(aIdeal0(_125829)), _125831 = _125829, aIdeal0(_125831)], (100 ^ _122809) ^ [_126152, _126154, _126156, _126158] : [-(aDivisorOf0(_126156, _126152)), aDivisorOf0(_126158, _126154), _126158 = _126156, _126154 = _126152], (114 ^ _122809) ^ [_126596, _126598, _126600, _126602] : [-(doDivides0(_126600, _126596)), doDivides0(_126602, _126598), _126602 = _126600, _126598 = _126596], (128 ^ _122809) ^ [_127012, _127014] : [-(aElement0(_127012)), _127014 = _127012, aElement0(_127014)], (138 ^ _122809) ^ [_127335, _127337, _127339, _127341] : [-(iLess0(_127339, _127335)), iLess0(_127341, _127337), _127341 = _127339, _127337 = _127335], (152 ^ _122809) ^ [_127759, _127761, _127763, _127765] : [-(aElementOf0(_127763, _127759)), aElementOf0(_127765, _127761), _127765 = _127763, _127761 = _127759], (224 ^ _122809) ^ [_130315] : [aElement0(_130315), true___, -(true___)], (234 ^ _122809) ^ [] : [-(aElement0(sz00))], (236 ^ _122809) ^ [] : [-(aElement0(sz10))], (238 ^ _122809) ^ [_130676] : [aElement0(_130676), -(aElement0(smndt0(_130676)))], (244 ^ _122809) ^ [_130880, _130882] : [-(aElement0(sdtpldt0(_130882, _130880))), aElement0(_130882), aElement0(_130880)], (254 ^ _122809) ^ [_131179, _131181] : [-(aElement0(sdtasdt0(_131181, _131179))), aElement0(_131181), aElement0(_131179)], (264 ^ _122809) ^ [_131478, _131480] : [-(sdtpldt0(_131480, _131478) = sdtpldt0(_131478, _131480)), aElement0(_131480), aElement0(_131478)], (274 ^ _122809) ^ [_131799, _131801, _131803] : [-(sdtpldt0(sdtpldt0(_131803, _131801), _131799) = sdtpldt0(_131803, sdtpldt0(_131801, _131799))), aElement0(_131803), aElement0(_131801), aElement0(_131799)], (288 ^ _122809) ^ [_132205] : [aElement0(_132205), 291 ^ _122809 : [(292 ^ _122809) ^ [] : [-(sdtpldt0(_132205, sz00) = _132205)], (294 ^ _122809) ^ [] : [-(_132205 = sdtpldt0(sz00, _132205))]]], (296 ^ _122809) ^ [_132478] : [aElement0(_132478), 299 ^ _122809 : [(300 ^ _122809) ^ [] : [-(sdtpldt0(_132478, smndt0(_132478)) = sz00)], (302 ^ _122809) ^ [] : [-(sz00 = sdtpldt0(smndt0(_132478), _132478))]]], (304 ^ _122809) ^ [_132773, _132775] : [-(sdtasdt0(_132775, _132773) = sdtasdt0(_132773, _132775)), aElement0(_132775), aElement0(_132773)], (314 ^ _122809) ^ [_133094, _133096, _133098] : [-(sdtasdt0(sdtasdt0(_133098, _133096), _133094) = sdtasdt0(_133098, sdtasdt0(_133096, _133094))), aElement0(_133098), aElement0(_133096), aElement0(_133094)], (328 ^ _122809) ^ [_133500] : [aElement0(_133500), 331 ^ _122809 : [(332 ^ _122809) ^ [] : [-(sdtasdt0(_133500, sz10) = _133500)], (334 ^ _122809) ^ [] : [-(_133500 = sdtasdt0(sz10, _133500))]]], (336 ^ _122809) ^ [_133801, _133803, _133805] : [347 ^ _122809 : [(348 ^ _122809) ^ [] : [-(sdtasdt0(_133805, sdtpldt0(_133803, _133801)) = sdtpldt0(sdtasdt0(_133805, _133803), sdtasdt0(_133805, _133801)))], (350 ^ _122809) ^ [] : [-(sdtasdt0(sdtpldt0(_133803, _133801), _133805) = sdtpldt0(sdtasdt0(_133803, _133805), sdtasdt0(_133801, _133805)))]], aElement0(_133805), aElement0(_133803), aElement0(_133801)], (352 ^ _122809) ^ [_134320] : [aElement0(_134320), 355 ^ _122809 : [(356 ^ _122809) ^ [] : [-(sdtasdt0(smndt0(sz10), _134320) = smndt0(_134320))], (358 ^ _122809) ^ [] : [-(smndt0(_134320) = sdtasdt0(_134320, smndt0(sz10)))]]], (360 ^ _122809) ^ [_134601] : [aElement0(_134601), 363 ^ _122809 : [(364 ^ _122809) ^ [] : [-(sdtasdt0(_134601, sz00) = sz00)], (366 ^ _122809) ^ [] : [-(sz00 = sdtasdt0(sz00, _134601))]]], (368 ^ _122809) ^ [_134888, _134890] : [aElement0(_134890), aElement0(_134888), sdtasdt0(_134890, _134888) = sz00, -(_134890 = sz00), -(_134888 = sz00)], (386 ^ _122809) ^ [] : [sz10 = sz00], (388 ^ _122809) ^ [_135408] : [aSet0(_135408), true___, -(true___)], (398 ^ _122809) ^ [_135663] : [aSet0(_135663), 401 ^ _122809 : [(402 ^ _122809) ^ [_135793] : [aElementOf0(_135793, _135663), -(aElement0(_135793))]]], (408 ^ _122809) ^ [_136008, _136010] : [aSet0(_136010), aSet0(_136008), -(_136010 = _136008), 420 ^ _122809 : [(421 ^ _122809) ^ [] : [-(aElementOf0(419 ^ [_136008, _136010], _136010))], (423 ^ _122809) ^ [] : [aElementOf0(419 ^ [_136008, _136010], _136008)]], 425 ^ _122809 : [(426 ^ _122809) ^ [] : [-(aElementOf0(424 ^ [_136008, _136010], _136008))], (428 ^ _122809) ^ [] : [aElementOf0(424 ^ [_136008, _136010], _136010)]]], (432 ^ _122809) ^ [_136773, _136775] : [aSet0(_136775), aSet0(_136773), 439 ^ _122809 : [(472 ^ _122809) ^ [_138403] : [-(_138403 = sdtpldt1(_136775, _136773)), aSet0(_138403), 494 ^ _122809 : [(495 ^ _122809) ^ [] : [-(aElementOf0(492 ^ [_136773, _136775, _138403], _136775))], (497 ^ _122809) ^ [] : [-(aElementOf0(493 ^ [_136773, _136775, _138403], _136773))], (499 ^ _122809) ^ [] : [-(sdtpldt0(492 ^ [_136773, _136775, _138403], 493 ^ [_136773, _136775, _138403]) = 477 ^ [_136773, _136775, _138403])], (501 ^ _122809) ^ [] : [aElementOf0(477 ^ [_136773, _136775, _138403], _138403)]], 480 ^ _122809 : [(481 ^ _122809) ^ [] : [-(aElementOf0(477 ^ [_136773, _136775, _138403], _138403))], (483 ^ _122809) ^ [_138832, _138834] : [aElementOf0(_138834, _136775), aElementOf0(_138832, _136773), sdtpldt0(_138834, _138832) = 477 ^ [_136773, _136775, _138403]]]], (440 ^ _122809) ^ [_137068] : [_137068 = sdtpldt1(_136775, _136773), 443 ^ _122809 : [(444 ^ _122809) ^ [] : [-(aSet0(_137068))], (446 ^ _122809) ^ [_137345] : [aElementOf0(_137345, _137068), 451 ^ _122809 : [(452 ^ _122809) ^ [] : [-(aElementOf0(449 ^ [_136773, _136775, _137068, _137345], _136775))], (454 ^ _122809) ^ [] : [-(aElementOf0(450 ^ [_136773, _136775, _137068, _137345], _136773))], (456 ^ _122809) ^ [] : [-(sdtpldt0(449 ^ [_136773, _136775, _137068, _137345], 450 ^ [_136773, _136775, _137068, _137345]) = _137345)]]], (458 ^ _122809) ^ [_137905] : [-(aElementOf0(_137905, _137068)), 459 ^ _122809 : [(460 ^ _122809) ^ [_138035, _138037] : [aElementOf0(_138037, _136775), aElementOf0(_138035, _136773), sdtpldt0(_138037, _138035) = _137905]]]]]]], (505 ^ _122809) ^ [_139753, _139755] : [aSet0(_139755), aSet0(_139753), 512 ^ _122809 : [(537 ^ _122809) ^ [_140832] : [-(_140832 = sdtasasdt0(_139755, _139753)), aSet0(_140832), 553 ^ _122809 : [(554 ^ _122809) ^ [] : [-(aElementOf0(542 ^ [_139753, _139755, _140832], _139755))], (556 ^ _122809) ^ [] : [-(aElementOf0(542 ^ [_139753, _139755, _140832], _139753))], (558 ^ _122809) ^ [] : [aElementOf0(542 ^ [_139753, _139755, _140832], _140832)]], 545 ^ _122809 : [(546 ^ _122809) ^ [] : [-(aElementOf0(542 ^ [_139753, _139755, _140832], _140832))], (548 ^ _122809) ^ [] : [aElementOf0(542 ^ [_139753, _139755, _140832], _139755), aElementOf0(542 ^ [_139753, _139755, _140832], _139753)]]], (513 ^ _122809) ^ [_140029] : [_140029 = sdtasasdt0(_139755, _139753), 516 ^ _122809 : [(517 ^ _122809) ^ [] : [-(aSet0(_140029))], (519 ^ _122809) ^ [_140287] : [aElementOf0(_140287, _140029), 522 ^ _122809 : [(523 ^ _122809) ^ [] : [-(aElementOf0(_140287, _139755))], (525 ^ _122809) ^ [] : [-(aElementOf0(_140287, _139753))]]], (527 ^ _122809) ^ [_140546] : [-(aElementOf0(_140546, _140029)), aElementOf0(_140546, _139755), aElementOf0(_140546, _139753)]]]]], (584 ^ _122809) ^ [_142497] : [-(aIdeal0(_142497)), aSet0(_142497), 590 ^ _122809 : [(591 ^ _122809) ^ [] : [-(aElementOf0(589 ^ [_142497], _142497))], (593 ^ _122809) ^ [] : [595 ^ _122809 : [(596 ^ _122809) ^ [] : [-(aElementOf0(594 ^ [_142497], _142497))], (598 ^ _122809) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_142497], 594 ^ [_142497]), _142497)]], 600 ^ _122809 : [(601 ^ _122809) ^ [] : [-(aElement0(599 ^ [_142497]))], (603 ^ _122809) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_142497], 589 ^ [_142497]), _142497)]]]]], (562 ^ _122809) ^ [_141702] : [aIdeal0(_141702), 565 ^ _122809 : [(566 ^ _122809) ^ [] : [-(aSet0(_141702))], (568 ^ _122809) ^ [_141934] : [aElementOf0(_141934, _141702), 571 ^ _122809 : [(572 ^ _122809) ^ [_142115] : [aElementOf0(_142115, _141702), -(aElementOf0(sdtpldt0(_141934, _142115), _141702))], (578 ^ _122809) ^ [_142307] : [aElement0(_142307), -(aElementOf0(sdtasdt0(_142307, _141934), _141702))]]]]], (607 ^ _122809) ^ [_143337, _143339] : [-(aIdeal0(sdtpldt1(_143339, _143337))), aIdeal0(_143339), aIdeal0(_143337)], (617 ^ _122809) ^ [_143636, _143638] : [-(aIdeal0(sdtasasdt0(_143638, _143636))), aIdeal0(_143638), aIdeal0(_143636)], (627 ^ _122809) ^ [_143949, _143951, _143953] : [aElement0(_143953), aElement0(_143951), aIdeal0(_143949), 638 ^ _122809 : [(639 ^ _122809) ^ [] : [sdteqdtlpzmzozddtrp0(_143953, _143951, _143949), -(aElementOf0(sdtpldt0(_143953, smndt0(_143951)), _143949))], (645 ^ _122809) ^ [] : [aElementOf0(sdtpldt0(_143953, smndt0(_143951)), _143949), -(sdteqdtlpzmzozddtrp0(_143953, _143951, _143949))]]], (651 ^ _122809) ^ [_144627, _144629] : [aIdeal0(_144629), aIdeal0(_144627), 661 ^ _122809 : [(662 ^ _122809) ^ [] : [-(aElement0(660 ^ [_144627, _144629]))], (664 ^ _122809) ^ [] : [aElementOf0(660 ^ [_144627, _144629], sdtpldt1(_144629, _144627))]], 665 ^ _122809 : [(666 ^ _122809) ^ [_145125, _145127] : [674 ^ _122809 : [(675 ^ _122809) ^ [] : [-(aElement0(673 ^ [_144627, _144629, _145125, _145127]))], (677 ^ _122809) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_144627, _144629, _145125, _145127], _145127, _144629))], (679 ^ _122809) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_144627, _144629, _145125, _145127], _145125, _144627))]], aElement0(_145127), aElement0(_145125)]]], (681 ^ _122809) ^ [_145705] : [aNaturalNumber0(_145705), true___, -(true___)], (691 ^ _122809) ^ [_145960] : [-(aNaturalNumber0(sbrdtbr0(_145960))), aElement0(_145960), -(_145960 = sz00)], (701 ^ _122809) ^ [_146252, _146254] : [aNaturalNumber0(_146254), aNaturalNumber0(_146252), iLess0(_146254, _146252), true___, -(true___)], (719 ^ _122809) ^ [_146712, _146714] : [732 ^ _122809 : [(733 ^ _122809) ^ [] : [-(aElement0(730 ^ [_146712, _146714]))], (735 ^ _122809) ^ [] : [-(aElement0(731 ^ [_146712, _146714]))], (737 ^ _122809) ^ [] : [-(_146714 = sdtpldt0(sdtasdt0(730 ^ [_146712, _146714], _146712), 731 ^ [_146712, _146714]))], (739 ^ _122809) ^ [] : [-(731 ^ [_146712, _146714] = sz00), -(iLess0(sbrdtbr0(731 ^ [_146712, _146714]), sbrdtbr0(_146712)))]], aElement0(_146714), aElement0(_146712), -(_146712 = sz00)], (745 ^ _122809) ^ [_147659, _147661] : [aElement0(_147661), aElement0(_147659), 752 ^ _122809 : [(753 ^ _122809) ^ [] : [doDivides0(_147661, _147659), 757 ^ _122809 : [(758 ^ _122809) ^ [] : [-(aElement0(756 ^ [_147659, _147661]))], (760 ^ _122809) ^ [] : [-(sdtasdt0(_147661, 756 ^ [_147659, _147661]) = _147659)]]], (762 ^ _122809) ^ [] : [-(doDivides0(_147661, _147659)), 763 ^ _122809 : [(764 ^ _122809) ^ [_148219] : [aElement0(_148219), sdtasdt0(_147661, _148219) = _147659]]]]], (772 ^ _122809) ^ [_148488] : [aElement0(_148488), 775 ^ _122809 : [(776 ^ _122809) ^ [_148653] : [aDivisorOf0(_148653, _148488), 779 ^ _122809 : [(780 ^ _122809) ^ [] : [-(aElement0(_148653))], (782 ^ _122809) ^ [] : [-(doDivides0(_148653, _148488))]]], (784 ^ _122809) ^ [_148890] : [-(aDivisorOf0(_148890, _148488)), aElement0(_148890), doDivides0(_148890, _148488)]]], (794 ^ _122809) ^ [_149196, _149198] : [aElement0(_149198), aElement0(_149196), 801 ^ _122809 : [(802 ^ _122809) ^ [_149477] : [aGcdOfAnd0(_149477, _149198, _149196), 805 ^ _122809 : [(806 ^ _122809) ^ [] : [-(aDivisorOf0(_149477, _149198))], (808 ^ _122809) ^ [] : [-(aDivisorOf0(_149477, _149196))], (810 ^ _122809) ^ [_149778] : [-(doDivides0(_149778, _149477)), aDivisorOf0(_149778, _149198), aDivisorOf0(_149778, _149196)]]], (820 ^ _122809) ^ [_150064] : [-(aGcdOfAnd0(_150064, _149198, _149196)), aDivisorOf0(_150064, _149198), aDivisorOf0(_150064, _149196), 830 ^ _122809 : [(831 ^ _122809) ^ [] : [-(aDivisorOf0(829 ^ [_149196, _149198, _150064], _149198))], (833 ^ _122809) ^ [] : [-(aDivisorOf0(829 ^ [_149196, _149198, _150064], _149196))], (835 ^ _122809) ^ [] : [doDivides0(829 ^ [_149196, _149198, _150064], _150064)]]]]], (839 ^ _122809) ^ [_150729, _150731] : [aElement0(_150731), aElement0(_150729), 846 ^ _122809 : [(847 ^ _122809) ^ [] : [misRelativelyPrime0(_150731, _150729), -(aGcdOfAnd0(sz10, _150731, _150729))], (853 ^ _122809) ^ [] : [aGcdOfAnd0(sz10, _150731, _150729), -(misRelativelyPrime0(_150731, _150729))]]], (859 ^ _122809) ^ [_151265] : [aElement0(_151265), 862 ^ _122809 : [(888 ^ _122809) ^ [_152389] : [-(_152389 = slsdtgt0(_151265)), aSet0(_152389), 905 ^ _122809 : [(906 ^ _122809) ^ [] : [-(aElement0(904 ^ [_151265, _152389]))], (908 ^ _122809) ^ [] : [-(sdtasdt0(_151265, 904 ^ [_151265, _152389]) = 893 ^ [_151265, _152389])], (910 ^ _122809) ^ [] : [aElementOf0(893 ^ [_151265, _152389], _152389)]], 896 ^ _122809 : [(897 ^ _122809) ^ [] : [-(aElementOf0(893 ^ [_151265, _152389], _152389))], (899 ^ _122809) ^ [_152761] : [aElement0(_152761), sdtasdt0(_151265, _152761) = 893 ^ [_151265, _152389]]]], (863 ^ _122809) ^ [_151456] : [_151456 = slsdtgt0(_151265), 866 ^ _122809 : [(867 ^ _122809) ^ [] : [-(aSet0(_151456))], (869 ^ _122809) ^ [_151711] : [aElementOf0(_151711, _151456), 873 ^ _122809 : [(874 ^ _122809) ^ [] : [-(aElement0(872 ^ [_151265, _151456, _151711]))], (876 ^ _122809) ^ [] : [-(sdtasdt0(_151265, 872 ^ [_151265, _151456, _151711]) = _151711)]]], (878 ^ _122809) ^ [_152044] : [-(aElementOf0(_152044, _151456)), 879 ^ _122809 : [(880 ^ _122809) ^ [_152144] : [aElement0(_152144), sdtasdt0(_151265, _152144) = _152044]]]]]]], (914 ^ _122809) ^ [_153328] : [aElement0(_153328), -(aIdeal0(slsdtgt0(_153328)))], (920 ^ _122809) ^ [] : [-(aElement0(xa))], (922 ^ _122809) ^ [] : [-(aElement0(xb))], (924 ^ _122809) ^ [] : [xa = sz00, xb = sz00], (930 ^ _122809) ^ [] : [-(aGcdOfAnd0(xc, xa, xb))], (932 ^ _122809) ^ [] : [-(aIdeal0(xI))], (934 ^ _122809) ^ [] : [-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))], (936 ^ _122809) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xa)))], (938 ^ _122809) ^ [] : [-(aElementOf0(xa, slsdtgt0(xa)))], (940 ^ _122809) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xb)))], (942 ^ _122809) ^ [] : [-(aElementOf0(xb, slsdtgt0(xb)))], (945 ^ _122809) ^ [] : [-(aElementOf0(943 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))], (947 ^ _122809) ^ [] : [943 ^ [] = sz00], (949 ^ _122809) ^ [] : [-(aElementOf0(xu, xI))], (951 ^ _122809) ^ [] : [xu = sz00], (953 ^ _122809) ^ [_154380] : [iLess0(sbrdtbr0(_154380), sbrdtbr0(xu)), aElementOf0(_154380, xI), -(_154380 = sz00)], (963 ^ _122809) ^ [] : [aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)], (971 ^ _122809) ^ [] : [-(aElement0(968 ^ []))], (973 ^ _122809) ^ [] : [-(aElement0(969 ^ []))], (975 ^ _122809) ^ [] : [-(xu = sdtpldt0(sdtasdt0(xa, 968 ^ []), sdtasdt0(xb, 969 ^ [])))], (977 ^ _122809) ^ [] : [-(doDivides0(xu, xa))], (979 ^ _122809) ^ [] : [doDivides0(xu, xb)], (993 ^ _122809) ^ [] : [xr = sz00], (995 ^ _122809) ^ [] : [-(aElementOf0(smndt0(sdtasdt0(xq, xu)), xI))], (997 ^ _122809) ^ [] : [-(aElementOf0(xb, xI))], (999 ^ _122809) ^ [] : [-(xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb))], (1001 ^ _122809) ^ [] : [-(aElementOf0(xr, xI))], (981 ^ _122809) ^ [] : [-(aElement0(xq))], (983 ^ _122809) ^ [] : [-(aElement0(xr))], (985 ^ _122809) ^ [] : [-(xb = sdtpldt0(sdtasdt0(xq, xu), xr))], (987 ^ _122809) ^ [] : [-(xr = sz00), -(iLess0(sbrdtbr0(xr), sbrdtbr0(xu)))]], input).
% 0.35/1.40 ncf('1',plain,[xr = sz00],start(993 ^ 0)).
% 0.35/1.40 ncf('1.1',plain,[-(xr = sz00), iLess0(sbrdtbr0(xr), sbrdtbr0(xu)), aElementOf0(xr, xI)],extension(953 ^ 1,bind([[_154380], [xr]]))).
% 0.35/1.40 ncf('1.1.1',plain,[-(iLess0(sbrdtbr0(xr), sbrdtbr0(xu))), -(xr = sz00)],extension(987 ^ 2)).
% 0.35/1.40 ncf('1.1.1.1',plain,[xr = sz00],reduction('1')).
% 0.35/1.40 ncf('1.1.2',plain,[-(aElementOf0(xr, xI))],extension(1001 ^ 2)).
% 0.35/1.40 %-----------------------------------------------------
% 0.35/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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