TSTP Solution File: RNG112+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 11:49:52 EDT 2023
% Result : Theorem 45.05s 43.81s
% Output : Proof 45.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 20:07:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 45.05/43.81
% 45.05/43.81 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 45.05/43.81 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.05/43.81 %-----------------------------------------------------
% 45.05/43.81 ncf(matrix, plain, [(1205 ^ _223281) ^ [_223326] : [-(_223326 = sz00), 1225 ^ _223281 : [(1228 ^ _223281) ^ [] : [-(aElementOf0(1224 ^ [_223326], slsdtgt0(xb)))], (1226 ^ _223281) ^ [] : [-(aElementOf0(1223 ^ [_223326], slsdtgt0(xa)))], (1236 ^ _223281) ^ [] : [-(iLess0(sbrdtbr0(1222 ^ [_223326]), sbrdtbr0(_223326)))], (1232 ^ _223281) ^ [] : [-(aElementOf0(1222 ^ [_223326], xI))], (1234 ^ _223281) ^ [] : [1222 ^ [_223326] = sz00], (1230 ^ _223281) ^ [] : [-(sdtpldt0(1223 ^ [_223326], 1224 ^ [_223326]) = 1222 ^ [_223326])]], 1206 ^ _223281 : [(1207 ^ _223281) ^ [_223534, _223536] : [aElementOf0(_223536, slsdtgt0(xa)), aElementOf0(_223534, slsdtgt0(xb)), sdtpldt0(_223536, _223534) = _223326], (1217 ^ _223281) ^ [] : [aElementOf0(_223326, xI)]]], !, (1150 ^ _182410) ^ [] : [-(aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))], (701 ^ _182410) ^ [_205833, _205835] : [aNaturalNumber0(_205835), aNaturalNumber0(_205833), iLess0(_205835, _205833), true___, -(true___)], (408 ^ _182410) ^ [_195589, _195591] : [aSet0(_195591), aSet0(_195589), -(_195591 = _195589), 420 ^ _182410 : [(423 ^ _182410) ^ [] : [aElementOf0(419 ^ [_195589, _195591], _195589)], (421 ^ _182410) ^ [] : [-(aElementOf0(419 ^ [_195589, _195591], _195591))]], 425 ^ _182410 : [(428 ^ _182410) ^ [] : [aElementOf0(424 ^ [_195589, _195591], _195591)], (426 ^ _182410) ^ [] : [-(aElementOf0(424 ^ [_195589, _195591], _195589))]]], (935 ^ _182410) ^ [] : [-(sdtasdt0(xc, 931 ^ []) = xa)], (914 ^ _182410) ^ [_212909] : [aElement0(_212909), -(aIdeal0(slsdtgt0(_212909)))], (952 ^ _182410) ^ [_213969] : [980 ^ _182410 : [(985 ^ _182410) ^ [] : [-(doDivides0(_213969, xc))], (983 ^ _182410) ^ [] : [-(sdtasdt0(_213969, 979 ^ [_213969]) = xc)], (981 ^ _182410) ^ [] : [-(aElement0(979 ^ [_213969]))]], 969 ^ _182410 : [(970 ^ _182410) ^ [_214570] : [aElement0(_214570), sdtasdt0(_213969, _214570) = xb], (978 ^ _182410) ^ [] : [aDivisorOf0(_213969, xb)], (976 ^ _182410) ^ [] : [doDivides0(_213969, xb)]], 955 ^ _182410 : [(956 ^ _182410) ^ [] : [aElement0(_213969), 959 ^ _182410 : [(960 ^ _182410) ^ [_214274] : [aElement0(_214274), sdtasdt0(_213969, _214274) = xa], (966 ^ _182410) ^ [] : [doDivides0(_213969, xa)]]], (968 ^ _182410) ^ [] : [aDivisorOf0(_213969, xa)]]], (745 ^ _182410) ^ [_207240, _207242] : [aElement0(_207242), aElement0(_207240), 752 ^ _182410 : [(762 ^ _182410) ^ [] : [-(doDivides0(_207242, _207240)), 763 ^ _182410 : [(764 ^ _182410) ^ [_207800] : [aElement0(_207800), sdtasdt0(_207242, _207800) = _207240]]], (753 ^ _182410) ^ [] : [doDivides0(_207242, _207240), 757 ^ _182410 : [(760 ^ _182410) ^ [] : [-(sdtasdt0(_207242, 756 ^ [_207240, _207242]) = _207240)], (758 ^ _182410) ^ [] : [-(aElement0(756 ^ [_207240, _207242]))]]]]], (90 ^ _182410) ^ [_185450, _185452, _185454, _185456, _185458, _185460] : [-(aGcdOfAnd0(_185458, _185454, _185450)), aGcdOfAnd0(_185460, _185456, _185452), _185460 = _185458, _185456 = _185454, _185452 = _185450], (681 ^ _182410) ^ [_205286] : [aNaturalNumber0(_205286), true___, -(true___)], (924 ^ _182410) ^ [] : [xa = sz00, xb = sz00], (202 ^ _182410) ^ [_189077, _189079] : [_189079 = _189077, -(slsdtgt0(_189079) = slsdtgt0(_189077))], (360 ^ _182410) ^ [_194182] : [aElement0(_194182), 363 ^ _182410 : [(366 ^ _182410) ^ [] : [-(sz00 = sdtasdt0(sz00, _194182))], (364 ^ _182410) ^ [] : [-(sdtasdt0(_194182, sz00) = sz00)]]], (288 ^ _182410) ^ [_191786] : [aElement0(_191786), 291 ^ _182410 : [(294 ^ _182410) ^ [] : [-(_191786 = sdtpldt0(sz00, _191786))], (292 ^ _182410) ^ [] : [-(sdtpldt0(_191786, sz00) = _191786)]]], (304 ^ _182410) ^ [_192354, _192356] : [-(sdtasdt0(_192356, _192354) = sdtasdt0(_192354, _192356)), aElement0(_192356), aElement0(_192354)], (1037 ^ _182410) ^ [_216878] : [-(aElementOf0(_216878, slsdtgt0(xb))), 1038 ^ _182410 : [(1039 ^ _182410) ^ [_216970] : [aElement0(_216970), sdtasdt0(xb, _216970) = _216878]]], (933 ^ _182410) ^ [] : [-(aElement0(931 ^ []))], (2 ^ _182410) ^ [_182534] : [-(_182534 = _182534)], (627 ^ _182410) ^ [_203530, _203532, _203534] : [aElement0(_203534), aElement0(_203532), aIdeal0(_203530), 638 ^ _182410 : [(645 ^ _182410) ^ [] : [aElementOf0(sdtpldt0(_203534, smndt0(_203532)), _203530), -(sdteqdtlpzmzozddtrp0(_203534, _203532, _203530))], (639 ^ _182410) ^ [] : [sdteqdtlpzmzozddtrp0(_203534, _203532, _203530), -(aElementOf0(sdtpldt0(_203534, smndt0(_203532)), _203530))]]], (182 ^ _182410) ^ [_188387, _188389, _188391, _188393] : [-(sdtasdt0(_188393, _188389) = sdtasdt0(_188391, _188387)), _188393 = _188391, _188389 = _188387], (1083 ^ _182410) ^ [] : [-(aElement0(1081 ^ []))], (20 ^ _182410) ^ [_183214, _183216, _183218, _183220, _183222, _183224] : [-(sdteqdtlpzmzozddtrp0(_183222, _183218, _183214)), sdteqdtlpzmzozddtrp0(_183224, _183220, _183216), _183224 = _183222, _183220 = _183218, _183216 = _183214], (264 ^ _182410) ^ [_191059, _191061] : [-(sdtpldt0(_191061, _191059) = sdtpldt0(_191059, _191061)), aElement0(_191061), aElement0(_191059)], (208 ^ _182410) ^ [_189323, _189325, _189327, _189329] : [-(sdtpldt0(_189329, _189325) = sdtpldt0(_189327, _189323)), _189329 = _189327, _189325 = _189323], (244 ^ _182410) ^ [_190461, _190463] : [-(aElement0(sdtpldt0(_190463, _190461))), aElement0(_190463), aElement0(_190461)], (296 ^ _182410) ^ [_192059] : [aElement0(_192059), 299 ^ _182410 : [(302 ^ _182410) ^ [] : [-(sz00 = sdtpldt0(smndt0(_192059), _192059))], (300 ^ _182410) ^ [] : [-(sdtpldt0(_192059, smndt0(_192059)) = sz00)]]], (238 ^ _182410) ^ [_190257] : [aElement0(_190257), -(aElement0(smndt0(_190257)))], (314 ^ _182410) ^ [_192675, _192677, _192679] : [-(sdtasdt0(sdtasdt0(_192679, _192677), _192675) = sdtasdt0(_192679, sdtasdt0(_192677, _192675))), aElement0(_192679), aElement0(_192677), aElement0(_192675)], (839 ^ _182410) ^ [_210310, _210312] : [aElement0(_210312), aElement0(_210310), 846 ^ _182410 : [(853 ^ _182410) ^ [] : [aGcdOfAnd0(sz10, _210312, _210310), -(misRelativelyPrime0(_210312, _210310))], (847 ^ _182410) ^ [] : [misRelativelyPrime0(_210312, _210310), -(aGcdOfAnd0(sz10, _210312, _210310))]]], (1123 ^ _182410) ^ [_219936] : [aElementOf0(_219936, slsdtgt0(xb)), 1127 ^ _182410 : [(1130 ^ _182410) ^ [] : [-(sdtasdt0(xb, 1126 ^ [_219936]) = _219936)], (1128 ^ _182410) ^ [] : [-(aElement0(1126 ^ [_219936]))]]], (944 ^ _182410) ^ [] : [-(aElement0(942 ^ []))], (1018 ^ _182410) ^ [_216208] : [-(aElementOf0(_216208, slsdtgt0(xa))), 1019 ^ _182410 : [(1020 ^ _182410) ^ [_216300] : [aElement0(_216300), sdtasdt0(xa, _216300) = _216208]]], (352 ^ _182410) ^ [_193901] : [aElement0(_193901), 355 ^ _182410 : [(358 ^ _182410) ^ [] : [-(smndt0(_193901) = sdtasdt0(_193901, smndt0(sz10)))], (356 ^ _182410) ^ [] : [-(sdtasdt0(smndt0(sz10), _193901) = smndt0(_193901))]]], (1146 ^ _182410) ^ [] : [-(aElementOf0(1142 ^ [], slsdtgt0(xb)))], (1007 ^ _182410) ^ [] : [-(aIdeal0(xI))], (1152 ^ _182410) ^ [] : [1102 ^ [] = sz00], (1059 ^ _182410) ^ [_217715] : [-(aElementOf0(_217715, xI)), 1060 ^ _182410 : [(1061 ^ _182410) ^ [_217833, _217835] : [aElementOf0(_217835, slsdtgt0(xa)), aElementOf0(_217833, slsdtgt0(xb)), sdtpldt0(_217835, _217833) = _217715]]], (398 ^ _182410) ^ [_195244] : [aSet0(_195244), 401 ^ _182410 : [(402 ^ _182410) ^ [_195374] : [aElementOf0(_195374, _195244), -(aElement0(_195374))]]], (617 ^ _182410) ^ [_203217, _203219] : [-(aIdeal0(sdtasasdt0(_203219, _203217))), aIdeal0(_203219), aIdeal0(_203217)], (1104 ^ _182410) ^ [_219266] : [aElementOf0(_219266, slsdtgt0(xa)), 1108 ^ _182410 : [(1111 ^ _182410) ^ [] : [-(sdtasdt0(xa, 1107 ^ [_219266]) = _219266)], (1109 ^ _182410) ^ [] : [-(aElement0(1107 ^ [_219266]))]]], (166 ^ _182410) ^ [_187810, _187812, _187814, _187816] : [-(sdtasasdt0(_187816, _187812) = sdtasasdt0(_187814, _187810)), _187816 = _187814, _187812 = _187810], (584 ^ _182410) ^ [_202078] : [-(aIdeal0(_202078)), aSet0(_202078), 590 ^ _182410 : [(593 ^ _182410) ^ [] : [595 ^ _182410 : [(598 ^ _182410) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_202078], 594 ^ [_202078]), _202078)], (596 ^ _182410) ^ [] : [-(aElementOf0(594 ^ [_202078], _202078))]], 600 ^ _182410 : [(603 ^ _182410) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_202078], 589 ^ [_202078]), _202078)], (601 ^ _182410) ^ [] : [-(aElement0(599 ^ [_202078]))]]], (591 ^ _182410) ^ [] : [-(aElementOf0(589 ^ [_202078], _202078))]]], (176 ^ _182410) ^ [_188141, _188143] : [_188143 = _188141, -(smndt0(_188143) = smndt0(_188141))], (236 ^ _182410) ^ [] : [-(aElement0(sz10))], (859 ^ _182410) ^ [_210846] : [aElement0(_210846), 862 ^ _182410 : [(863 ^ _182410) ^ [_211037] : [_211037 = slsdtgt0(_210846), 866 ^ _182410 : [(878 ^ _182410) ^ [_211625] : [-(aElementOf0(_211625, _211037)), 879 ^ _182410 : [(880 ^ _182410) ^ [_211725] : [aElement0(_211725), sdtasdt0(_210846, _211725) = _211625]]], (869 ^ _182410) ^ [_211292] : [aElementOf0(_211292, _211037), 873 ^ _182410 : [(876 ^ _182410) ^ [] : [-(sdtasdt0(_210846, 872 ^ [_210846, _211037, _211292]) = _211292)], (874 ^ _182410) ^ [] : [-(aElement0(872 ^ [_210846, _211037, _211292]))]]], (867 ^ _182410) ^ [] : [-(aSet0(_211037))]]], (888 ^ _182410) ^ [_211970] : [-(_211970 = slsdtgt0(_210846)), aSet0(_211970), 905 ^ _182410 : [(910 ^ _182410) ^ [] : [aElementOf0(893 ^ [_210846, _211970], _211970)], (908 ^ _182410) ^ [] : [-(sdtasdt0(_210846, 904 ^ [_210846, _211970]) = 893 ^ [_210846, _211970])], (906 ^ _182410) ^ [] : [-(aElement0(904 ^ [_210846, _211970]))]], 896 ^ _182410 : [(899 ^ _182410) ^ [_212342] : [aElement0(_212342), sdtasdt0(_210846, _212342) = 893 ^ [_210846, _211970]], (897 ^ _182410) ^ [] : [-(aElementOf0(893 ^ [_210846, _211970], _211970))]]]]], (224 ^ _182410) ^ [_189896] : [aElement0(_189896), true___, -(true___)], (922 ^ _182410) ^ [] : [-(aElement0(xb))], (939 ^ _182410) ^ [] : [-(aDivisorOf0(xc, xa))], (38 ^ _182410) ^ [_183767, _183769] : [-(aNaturalNumber0(_183767)), _183769 = _183767, aNaturalNumber0(_183769)], (1148 ^ _182410) ^ [] : [-(sdtpldt0(1141 ^ [], 1142 ^ []) = 1102 ^ [])], (1078 ^ _182410) ^ [] : [-(sdtasdt0(xa, 1074 ^ []) = sz00)], (328 ^ _182410) ^ [_193081] : [aElement0(_193081), 331 ^ _182410 : [(334 ^ _182410) ^ [] : [-(_193081 = sdtasdt0(sz10, _193081))], (332 ^ _182410) ^ [] : [-(sdtasdt0(_193081, sz10) = _193081)]]], (118 ^ _182410) ^ [_186298, _186300] : [-(aIdeal0(_186298)), _186300 = _186298, aIdeal0(_186300)], (152 ^ _182410) ^ [_187340, _187342, _187344, _187346] : [-(iLess0(_187344, _187340)), iLess0(_187346, _187342), _187346 = _187344, _187342 = _187340], (719 ^ _182410) ^ [_206293, _206295] : [732 ^ _182410 : [(735 ^ _182410) ^ [] : [-(aElement0(731 ^ [_206293, _206295]))], (737 ^ _182410) ^ [] : [-(_206295 = sdtpldt0(sdtasdt0(730 ^ [_206293, _206295], _206293), 731 ^ [_206293, _206295]))], (739 ^ _182410) ^ [] : [-(731 ^ [_206293, _206295] = sz00), -(iLess0(sbrdtbr0(731 ^ [_206293, _206295]), sbrdtbr0(_206293)))], (733 ^ _182410) ^ [] : [-(aElement0(730 ^ [_206293, _206295]))]], aElement0(_206295), aElement0(_206293), -(_206293 = sz00)], (651 ^ _182410) ^ [_204208, _204210] : [aIdeal0(_204210), aIdeal0(_204208), 661 ^ _182410 : [(664 ^ _182410) ^ [] : [aElementOf0(660 ^ [_204208, _204210], sdtpldt1(_204210, _204208))], (662 ^ _182410) ^ [] : [-(aElement0(660 ^ [_204208, _204210]))]], 665 ^ _182410 : [(666 ^ _182410) ^ [_204706, _204708] : [674 ^ _182410 : [(679 ^ _182410) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_204208, _204210, _204706, _204708], _204706, _204208))], (677 ^ _182410) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_204208, _204210, _204706, _204708], _204708, _204210))], (675 ^ _182410) ^ [] : [-(aElement0(673 ^ [_204208, _204210, _204706, _204708]))]], aElement0(_204708), aElement0(_204706)]]], (950 ^ _182410) ^ [] : [-(aDivisorOf0(xc, xb))], (368 ^ _182410) ^ [_194469, _194471] : [aElement0(_194471), aElement0(_194469), sdtasdt0(_194471, _194469) = sz00, -(_194471 = sz00), -(_194469 = sz00)], (254 ^ _182410) ^ [_190760, _190762] : [-(aElement0(sdtasdt0(_190762, _190760))), aElement0(_190762), aElement0(_190760)], (989 ^ _182410) ^ [] : [-(aSet0(xI))], (1087 ^ _182410) ^ [] : [-(aElementOf0(xa, slsdtgt0(xa)))], (218 ^ _182410) ^ [_189634, _189636] : [_189636 = _189634, -(sbrdtbr0(_189636) = sbrdtbr0(_189634))], (274 ^ _182410) ^ [_191380, _191382, _191384] : [-(sdtpldt0(sdtpldt0(_191384, _191382), _191380) = sdtpldt0(_191384, sdtpldt0(_191382, _191380))), aElement0(_191384), aElement0(_191382), aElement0(_191380)], (1099 ^ _182410) ^ [] : [-(sdtasdt0(xb, 1095 ^ []) = xb)], (234 ^ _182410) ^ [] : [-(aElement0(sz00))], (1113 ^ _182410) ^ [_219563] : [-(aElementOf0(_219563, slsdtgt0(xa))), 1114 ^ _182410 : [(1115 ^ _182410) ^ [_219655] : [aElement0(_219655), sdtasdt0(xa, _219655) = _219563]]], (1144 ^ _182410) ^ [] : [-(aElementOf0(1141 ^ [], slsdtgt0(xa)))], (1080 ^ _182410) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xa)))], (4 ^ _182410) ^ [_182641, _182643] : [_182643 = _182641, -(_182641 = _182643)], (1085 ^ _182410) ^ [] : [-(sdtasdt0(xa, 1081 ^ []) = xa)], (920 ^ _182410) ^ [] : [-(aElement0(xa))], (505 ^ _182410) ^ [_199334, _199336] : [aSet0(_199336), aSet0(_199334), 512 ^ _182410 : [(513 ^ _182410) ^ [_199610] : [_199610 = sdtasasdt0(_199336, _199334), 516 ^ _182410 : [(527 ^ _182410) ^ [_200127] : [-(aElementOf0(_200127, _199610)), aElementOf0(_200127, _199336), aElementOf0(_200127, _199334)], (519 ^ _182410) ^ [_199868] : [aElementOf0(_199868, _199610), 522 ^ _182410 : [(525 ^ _182410) ^ [] : [-(aElementOf0(_199868, _199334))], (523 ^ _182410) ^ [] : [-(aElementOf0(_199868, _199336))]]], (517 ^ _182410) ^ [] : [-(aSet0(_199610))]]], (537 ^ _182410) ^ [_200413] : [-(_200413 = sdtasasdt0(_199336, _199334)), aSet0(_200413), 553 ^ _182410 : [(558 ^ _182410) ^ [] : [aElementOf0(542 ^ [_199334, _199336, _200413], _200413)], (556 ^ _182410) ^ [] : [-(aElementOf0(542 ^ [_199334, _199336, _200413], _199334))], (554 ^ _182410) ^ [] : [-(aElementOf0(542 ^ [_199334, _199336, _200413], _199336))]], 545 ^ _182410 : [(548 ^ _182410) ^ [] : [aElementOf0(542 ^ [_199334, _199336, _200413], _199336), aElementOf0(542 ^ [_199334, _199336, _200413], _199334)], (546 ^ _182410) ^ [] : [-(aElementOf0(542 ^ [_199334, _199336, _200413], _200413))]]]]], (386 ^ _182410) ^ [] : [sz10 = sz00], (691 ^ _182410) ^ [_205541] : [-(aNaturalNumber0(sbrdtbr0(_205541))), aElement0(_205541), -(_205541 = sz00)], (1090 ^ _182410) ^ [] : [-(aElement0(1088 ^ []))], (10 ^ _182410) ^ [_182845, _182847, _182849] : [-(_182849 = _182845), _182849 = _182847, _182847 = _182845], (991 ^ _182410) ^ [_215261] : [aElementOf0(_215261, xI), 994 ^ _182410 : [(1001 ^ _182410) ^ [_215620] : [aElement0(_215620), -(aElementOf0(sdtasdt0(_215620, _215261), xI))], (995 ^ _182410) ^ [_215436] : [aElementOf0(_215436, xI), -(aElementOf0(sdtpldt0(_215261, _215436), xI))]]], (108 ^ _182410) ^ [_186003, _186005] : [-(aSet0(_186003)), _186005 = _186003, aSet0(_186005)], (336 ^ _182410) ^ [_193382, _193384, _193386] : [347 ^ _182410 : [(350 ^ _182410) ^ [] : [-(sdtasdt0(sdtpldt0(_193384, _193382), _193386) = sdtpldt0(sdtasdt0(_193384, _193386), sdtasdt0(_193382, _193386)))], (348 ^ _182410) ^ [] : [-(sdtasdt0(_193386, sdtpldt0(_193384, _193382)) = sdtpldt0(sdtasdt0(_193386, _193384), sdtasdt0(_193386, _193382)))]], aElement0(_193386), aElement0(_193384), aElement0(_193382)], (794 ^ _182410) ^ [_208777, _208779] : [aElement0(_208779), aElement0(_208777), 801 ^ _182410 : [(820 ^ _182410) ^ [_209645] : [-(aGcdOfAnd0(_209645, _208779, _208777)), aDivisorOf0(_209645, _208779), aDivisorOf0(_209645, _208777), 830 ^ _182410 : [(835 ^ _182410) ^ [] : [doDivides0(829 ^ [_208777, _208779, _209645], _209645)], (833 ^ _182410) ^ [] : [-(aDivisorOf0(829 ^ [_208777, _208779, _209645], _208777))], (831 ^ _182410) ^ [] : [-(aDivisorOf0(829 ^ [_208777, _208779, _209645], _208779))]]], (802 ^ _182410) ^ [_209058] : [aGcdOfAnd0(_209058, _208779, _208777), 805 ^ _182410 : [(810 ^ _182410) ^ [_209359] : [-(doDivides0(_209359, _209058)), aDivisorOf0(_209359, _208779), aDivisorOf0(_209359, _208777)], (808 ^ _182410) ^ [] : [-(aDivisorOf0(_209058, _208777))], (806 ^ _182410) ^ [] : [-(aDivisorOf0(_209058, _208779))]]]]], (607 ^ _182410) ^ [_202918, _202920] : [-(aIdeal0(sdtpldt1(_202920, _202918))), aIdeal0(_202920), aIdeal0(_202918)], (1092 ^ _182410) ^ [] : [-(sdtasdt0(xb, 1088 ^ []) = sz00)], (1154 ^ _182410) ^ [_220933] : [-(_220933 = sz00), 1157 ^ _182410 : [(1158 ^ _182410) ^ [_221223, _221225] : [aElementOf0(_221225, slsdtgt0(xa)), aElementOf0(_221223, slsdtgt0(xb)), sdtpldt0(_221225, _221223) = _220933], (1168 ^ _182410) ^ [] : [aElementOf0(_220933, xI)]], 1174 ^ _182410 : [(1177 ^ _182410) ^ [] : [-(aElementOf0(1173 ^ [_220933], slsdtgt0(xb)))], (1175 ^ _182410) ^ [] : [-(aElementOf0(1172 ^ [_220933], slsdtgt0(xa)))], (1185 ^ _182410) ^ [_222239] : [iLess0(sbrdtbr0(_222239), sbrdtbr0(1171 ^ [_220933])), -(_222239 = sz00), 1188 ^ _182410 : [(1189 ^ _182410) ^ [_222440, _222442] : [aElementOf0(_222442, slsdtgt0(xa)), aElementOf0(_222440, slsdtgt0(xb)), sdtpldt0(_222442, _222440) = _222239], (1199 ^ _182410) ^ [] : [aElementOf0(_222239, xI)]]], (1181 ^ _182410) ^ [] : [-(aElementOf0(1171 ^ [_220933], xI))], (1183 ^ _182410) ^ [] : [1171 ^ [_220933] = sz00], (1179 ^ _182410) ^ [] : [-(sdtpldt0(1172 ^ [_220933], 1173 ^ [_220933]) = 1171 ^ [_220933])]]], (76 ^ _182410) ^ [_184978, _184980, _184982, _184984] : [-(doDivides0(_184982, _184978)), doDivides0(_184984, _184980), _184984 = _184982, _184980 = _184978], (432 ^ _182410) ^ [_196354, _196356] : [aSet0(_196356), aSet0(_196354), 439 ^ _182410 : [(440 ^ _182410) ^ [_196649] : [_196649 = sdtpldt1(_196356, _196354), 443 ^ _182410 : [(458 ^ _182410) ^ [_197486] : [-(aElementOf0(_197486, _196649)), 459 ^ _182410 : [(460 ^ _182410) ^ [_197616, _197618] : [aElementOf0(_197618, _196356), aElementOf0(_197616, _196354), sdtpldt0(_197618, _197616) = _197486]]], (446 ^ _182410) ^ [_196926] : [aElementOf0(_196926, _196649), 451 ^ _182410 : [(456 ^ _182410) ^ [] : [-(sdtpldt0(449 ^ [_196354, _196356, _196649, _196926], 450 ^ [_196354, _196356, _196649, _196926]) = _196926)], (454 ^ _182410) ^ [] : [-(aElementOf0(450 ^ [_196354, _196356, _196649, _196926], _196354))], (452 ^ _182410) ^ [] : [-(aElementOf0(449 ^ [_196354, _196356, _196649, _196926], _196356))]]], (444 ^ _182410) ^ [] : [-(aSet0(_196649))]]], (472 ^ _182410) ^ [_197984] : [-(_197984 = sdtpldt1(_196356, _196354)), aSet0(_197984), 494 ^ _182410 : [(497 ^ _182410) ^ [] : [-(aElementOf0(493 ^ [_196354, _196356, _197984], _196354))], (499 ^ _182410) ^ [] : [-(sdtpldt0(492 ^ [_196354, _196356, _197984], 493 ^ [_196354, _196356, _197984]) = 477 ^ [_196354, _196356, _197984])], (501 ^ _182410) ^ [] : [aElementOf0(477 ^ [_196354, _196356, _197984], _197984)], (495 ^ _182410) ^ [] : [-(aElementOf0(492 ^ [_196354, _196356, _197984], _196356))]], 480 ^ _182410 : [(483 ^ _182410) ^ [_198413, _198415] : [aElementOf0(_198415, _196356), aElementOf0(_198413, _196354), sdtpldt0(_198415, _198413) = 477 ^ [_196354, _196356, _197984]], (481 ^ _182410) ^ [] : [-(aElementOf0(477 ^ [_196354, _196356, _197984], _197984))]]]]], (128 ^ _182410) ^ [_186593, _186595] : [-(aElement0(_186593)), _186595 = _186593, aElement0(_186595)], (388 ^ _182410) ^ [_194989] : [aSet0(_194989), true___, -(true___)], (1132 ^ _182410) ^ [_220233] : [-(aElementOf0(_220233, slsdtgt0(xb))), 1133 ^ _182410 : [(1134 ^ _182410) ^ [_220325] : [aElement0(_220325), sdtasdt0(xb, _220325) = _220233]]], (1076 ^ _182410) ^ [] : [-(aElement0(1074 ^ []))], (941 ^ _182410) ^ [] : [-(aElement0(xc))], (1028 ^ _182410) ^ [_216581] : [aElementOf0(_216581, slsdtgt0(xb)), 1032 ^ _182410 : [(1035 ^ _182410) ^ [] : [-(sdtasdt0(xb, 1031 ^ [_216581]) = _216581)], (1033 ^ _182410) ^ [] : [-(aElement0(1031 ^ [_216581]))]]], (138 ^ _182410) ^ [_186916, _186918, _186920, _186922] : [-(aElementOf0(_186920, _186916)), aElementOf0(_186922, _186918), _186922 = _186920, _186918 = _186916], (562 ^ _182410) ^ [_201283] : [aIdeal0(_201283), 565 ^ _182410 : [(568 ^ _182410) ^ [_201515] : [aElementOf0(_201515, _201283), 571 ^ _182410 : [(578 ^ _182410) ^ [_201888] : [aElement0(_201888), -(aElementOf0(sdtasdt0(_201888, _201515), _201283))], (572 ^ _182410) ^ [_201696] : [aElementOf0(_201696, _201283), -(aElementOf0(sdtpldt0(_201515, _201696), _201283))]]], (566 ^ _182410) ^ [] : [-(aSet0(_201283))]]], (1097 ^ _182410) ^ [] : [-(aElement0(1095 ^ []))], (772 ^ _182410) ^ [_208069] : [aElement0(_208069), 775 ^ _182410 : [(784 ^ _182410) ^ [_208471] : [-(aDivisorOf0(_208471, _208069)), aElement0(_208471), doDivides0(_208471, _208069)], (776 ^ _182410) ^ [_208234] : [aDivisorOf0(_208234, _208069), 779 ^ _182410 : [(782 ^ _182410) ^ [] : [-(doDivides0(_208234, _208069))], (780 ^ _182410) ^ [] : [-(aElement0(_208234))]]]]], (987 ^ _182410) ^ [] : [-(aGcdOfAnd0(xc, xa, xb))], (1094 ^ _182410) ^ [] : [-(aElementOf0(sz00, slsdtgt0(xb)))], (192 ^ _182410) ^ [_188746, _188748, _188750, _188752] : [-(sdtpldt1(_188752, _188748) = sdtpldt1(_188750, _188746)), _188752 = _188750, _188748 = _188746], (1047 ^ _182410) ^ [_217251] : [aElementOf0(_217251, xI), 1052 ^ _182410 : [(1057 ^ _182410) ^ [] : [-(sdtpldt0(1050 ^ [_217251], 1051 ^ [_217251]) = _217251)], (1055 ^ _182410) ^ [] : [-(aElementOf0(1051 ^ [_217251], slsdtgt0(xb)))], (1053 ^ _182410) ^ [] : [-(aElementOf0(1050 ^ [_217251], slsdtgt0(xa)))]]], (930 ^ _182410) ^ [] : [-(aElement0(xc))], (62 ^ _182410) ^ [_184534, _184536, _184538, _184540] : [-(aDivisorOf0(_184538, _184534)), aDivisorOf0(_184540, _184536), _184540 = _184538, _184536 = _184534], (946 ^ _182410) ^ [] : [-(sdtasdt0(xc, 942 ^ []) = xb)], (948 ^ _182410) ^ [] : [-(doDivides0(xc, xb))], (1101 ^ _182410) ^ [] : [-(aElementOf0(xb, slsdtgt0(xb)))], (48 ^ _182410) ^ [_184090, _184092, _184094, _184096] : [-(misRelativelyPrime0(_184094, _184090)), misRelativelyPrime0(_184096, _184092), _184096 = _184094, _184092 = _184090], (937 ^ _182410) ^ [] : [-(doDivides0(xc, xa))], (1073 ^ _182410) ^ [] : [-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))], (1009 ^ _182410) ^ [_215911] : [aElementOf0(_215911, slsdtgt0(xa)), 1013 ^ _182410 : [(1016 ^ _182410) ^ [] : [-(sdtasdt0(xa, 1012 ^ [_215911]) = _215911)], (1014 ^ _182410) ^ [] : [-(aElement0(1012 ^ [_215911]))]]]], input).
% 45.05/43.81 ncf('1',plain,[-(1222 ^ [1102 ^ []] = sz00), 1228 : -(aElementOf0(1224 ^ [1222 ^ [1102 ^ []]], slsdtgt0(xb))), 1207 : aElementOf0(1223 ^ [1102 ^ []], slsdtgt0(xa)), 1207 : aElementOf0(1224 ^ [1102 ^ []], slsdtgt0(xb)), 1207 : sdtpldt0(1223 ^ [1102 ^ []], 1224 ^ [1102 ^ []]) = 1222 ^ [1102 ^ []]],start(1205 ^ 0,bind([[_223326, _223534, _223536], [1222 ^ [1102 ^ []], 1224 ^ [1102 ^ []], 1223 ^ [1102 ^ []]]]))).
% 45.05/43.81 ncf('1.1',plain,[1222 ^ [1102 ^ []] = sz00, -(1102 ^ [] = sz00), 1217 : aElementOf0(1102 ^ [], xI)],extension(1205 ^ 1,bind([[_223326], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.1.1',plain,[1102 ^ [] = sz00],extension(1152 ^ 2)).
% 45.05/43.81 ncf('1.1.2',plain,[-(aElementOf0(1102 ^ [], xI)), aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))), 1102 ^ [] = 1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI],extension(138 ^ 4,bind([[_186916, _186918, _186920, _186922], [xI, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), 1102 ^ [], 1102 ^ []]]))).
% 45.05/43.81 ncf('1.1.2.1',plain,[-(aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))],extension(1150 ^ 5)).
% 45.05/43.81 ncf('1.1.2.2',plain,[-(1102 ^ [] = 1102 ^ [])],extension(2 ^ 5,bind([[_182534], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.1.2.3',plain,[-(sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI), xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))],extension(4 ^ 5,bind([[_182641, _182643], [sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), xI]]))).
% 45.05/43.81 ncf('1.1.2.3.1',plain,[-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))],extension(1073 ^ 6)).
% 45.05/43.81 ncf('1.2',plain,[aElementOf0(1224 ^ [1222 ^ [1102 ^ []]], slsdtgt0(xb)), 1158 : aElementOf0(1223 ^ [1222 ^ [1102 ^ []]], slsdtgt0(xa)), 1158 : sdtpldt0(1223 ^ [1222 ^ [1102 ^ []]], 1224 ^ [1222 ^ [1102 ^ []]]) = 1222 ^ [1222 ^ [1102 ^ []]], 1158 : -(1222 ^ [1222 ^ [1102 ^ []]] = sz00), 1185 : iLess0(sbrdtbr0(1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]]), sbrdtbr0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]])), 1185 : -(1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]] = sz00), 1199 : aElementOf0(1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]], xI)],extension(1154 ^ 3,bind([[_220933, _221223, _221225, _222239], [1222 ^ [1222 ^ [1102 ^ []]], 1224 ^ [1222 ^ [1102 ^ []]], 1223 ^ [1222 ^ [1102 ^ []]], 1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]]]]))).
% 45.05/43.81 ncf('1.2.1',plain,[-(aElementOf0(1223 ^ [1222 ^ [1102 ^ []]], slsdtgt0(xa)))],extension(1226 ^ 6)).
% 45.05/43.81 ncf('1.2.2',plain,[-(sdtpldt0(1223 ^ [1222 ^ [1102 ^ []]], 1224 ^ [1222 ^ [1102 ^ []]]) = 1222 ^ [1222 ^ [1102 ^ []]])],extension(1230 ^ 6)).
% 45.05/43.81 ncf('1.2.3',plain,[1222 ^ [1222 ^ [1102 ^ []]] = sz00],extension(1234 ^ 4)).
% 45.05/43.81 ncf('1.2.4',plain,[-(iLess0(sbrdtbr0(1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]]), sbrdtbr0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]))), -(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]] = sz00), 1217 : aElementOf0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]], xI)],extension(1205 ^ 6,bind([[_223326], [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]]]))).
% 45.05/43.81 ncf('1.2.4.1',plain,[1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]] = sz00],extension(1183 ^ 7)).
% 45.05/43.81 ncf('1.2.4.2',plain,[-(aElementOf0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]], xI))],extension(1181 ^ 9)).
% 45.05/43.81 ncf('1.2.5',plain,[1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]] = sz00, -(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]] = sz00), 1217 : aElementOf0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]], xI)],extension(1205 ^ 6,bind([[_223326], [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]]]))).
% 45.05/43.81 ncf('1.2.5.1',plain,[1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]] = sz00],extension(1183 ^ 7)).
% 45.05/43.81 ncf('1.2.5.2',plain,[-(aElementOf0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]], xI))],extension(1181 ^ 9)).
% 45.05/43.81 ncf('1.2.6',plain,[-(aElementOf0(1222 ^ [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]], xI)), -(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]] = sz00), 1217 : aElementOf0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]], xI)],extension(1205 ^ 8,bind([[_223326], [1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]]]]))).
% 45.05/43.81 ncf('1.2.6.1',plain,[1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]] = sz00],extension(1183 ^ 9)).
% 45.05/43.81 ncf('1.2.6.2',plain,[-(aElementOf0(1171 ^ [1222 ^ [1222 ^ [1102 ^ []]]], xI))],extension(1181 ^ 11)).
% 45.05/43.81 ncf('1.3',plain,[-(aElementOf0(1223 ^ [1102 ^ []], slsdtgt0(xa))), -(1102 ^ [] = sz00), 1217 : aElementOf0(1102 ^ [], xI)],extension(1205 ^ 3,bind([[_223326], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.3.1',plain,[1102 ^ [] = sz00],extension(1152 ^ 4)).
% 45.05/43.81 ncf('1.3.2',plain,[-(aElementOf0(1102 ^ [], xI)), aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))), 1102 ^ [] = 1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI],extension(138 ^ 6,bind([[_186916, _186918, _186920, _186922], [xI, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), 1102 ^ [], 1102 ^ []]]))).
% 45.05/43.81 ncf('1.3.2.1',plain,[-(aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))],extension(1150 ^ 7)).
% 45.05/43.81 ncf('1.3.2.2',plain,[-(1102 ^ [] = 1102 ^ [])],extension(2 ^ 7,bind([[_182534], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.3.2.3',plain,[-(sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI), xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))],extension(4 ^ 7,bind([[_182641, _182643], [sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), xI]]))).
% 45.05/43.81 ncf('1.3.2.3.1',plain,[-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))],extension(1073 ^ 8)).
% 45.05/43.81 ncf('1.4',plain,[-(aElementOf0(1224 ^ [1102 ^ []], slsdtgt0(xb))), -(1102 ^ [] = sz00), 1217 : aElementOf0(1102 ^ [], xI)],extension(1205 ^ 3,bind([[_223326], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.4.1',plain,[1102 ^ [] = sz00],extension(1152 ^ 4)).
% 45.05/43.81 ncf('1.4.2',plain,[-(aElementOf0(1102 ^ [], xI)), aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))), 1102 ^ [] = 1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI],extension(138 ^ 6,bind([[_186916, _186918, _186920, _186922], [xI, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), 1102 ^ [], 1102 ^ []]]))).
% 45.05/43.81 ncf('1.4.2.1',plain,[-(aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))],extension(1150 ^ 7)).
% 45.05/43.81 ncf('1.4.2.2',plain,[-(1102 ^ [] = 1102 ^ [])],extension(2 ^ 7,bind([[_182534], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.4.2.3',plain,[-(sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI), xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))],extension(4 ^ 7,bind([[_182641, _182643], [sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), xI]]))).
% 45.05/43.81 ncf('1.4.2.3.1',plain,[-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))],extension(1073 ^ 8)).
% 45.05/43.81 ncf('1.5',plain,[-(sdtpldt0(1223 ^ [1102 ^ []], 1224 ^ [1102 ^ []]) = 1222 ^ [1102 ^ []]), -(1102 ^ [] = sz00), 1217 : aElementOf0(1102 ^ [], xI)],extension(1205 ^ 3,bind([[_223326], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.5.1',plain,[1102 ^ [] = sz00],extension(1152 ^ 4)).
% 45.05/43.81 ncf('1.5.2',plain,[-(aElementOf0(1102 ^ [], xI)), aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))), 1102 ^ [] = 1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI],extension(138 ^ 6,bind([[_186916, _186918, _186920, _186922], [xI, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), 1102 ^ [], 1102 ^ []]]))).
% 45.05/43.81 ncf('1.5.2.1',plain,[-(aElementOf0(1102 ^ [], sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))))],extension(1150 ^ 7)).
% 45.05/43.81 ncf('1.5.2.2',plain,[-(1102 ^ [] = 1102 ^ [])],extension(2 ^ 7,bind([[_182534], [1102 ^ []]]))).
% 45.05/43.81 ncf('1.5.2.3',plain,[-(sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)) = xI), xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))],extension(4 ^ 7,bind([[_182641, _182643], [sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), xI]]))).
% 45.05/43.81 ncf('1.5.2.3.1',plain,[-(xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)))],extension(1073 ^ 8)).
% 45.05/43.81 %-----------------------------------------------------
% 45.05/43.81 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------