TSTP Solution File: RNG106+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG106+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 11:49:51 EDT 2023
% Result : Theorem 0.47s 1.38s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG106+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n026.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 20:40:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.47/1.38
% 0.47/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.47/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.38 %-----------------------------------------------------
% 0.47/1.38 ncf(matrix, plain, [(946 ^ _121078) ^ [] : [aIdeal0(slsdtgt0(xc))], (916 ^ _121078) ^ [_151923, _151925, _151927] : [928 ^ _121078 : [(929 ^ _121078) ^ [] : [-(aElement0(927 ^ [_151923, _151925, _151927]))], (931 ^ _121078) ^ [] : [-(sdtasdt0(xc, 927 ^ [_151923, _151925, _151927]) = _151927)], (934 ^ _121078) ^ [] : [-(aElement0(932 ^ [_151923, _151925, _151927]))], (936 ^ _121078) ^ [] : [-(sdtasdt0(xc, 932 ^ [_151923, _151925, _151927]) = _151925)], (938 ^ _121078) ^ [] : [-(sdtpldt0(_151927, _151925) = sdtasdt0(xc, sdtpldt0(927 ^ [_151923, _151925, _151927], 932 ^ [_151923, _151925, _151927])))], (940 ^ _121078) ^ [] : [-(sdtasdt0(_151923, _151927) = sdtasdt0(xc, sdtasdt0(927 ^ [_151923, _151925, _151927], _151923)))], (942 ^ _121078) ^ [] : [-(aElementOf0(sdtpldt0(_151927, _151925), slsdtgt0(xc)))], (944 ^ _121078) ^ [] : [-(aElementOf0(sdtasdt0(_151923, _151927), slsdtgt0(xc)))]], aElementOf0(_151927, slsdtgt0(xc)), aElementOf0(_151925, slsdtgt0(xc)), aElement0(_151923)], (166 ^ _121078) ^ [_126498, _126500, _126502, _126504] : [-(sdtasasdt0(_126504, _126500) = sdtasasdt0(_126502, _126498)), _126504 = _126502, _126500 = _126498], (176 ^ _121078) ^ [_126829, _126831] : [_126831 = _126829, -(smndt0(_126831) = smndt0(_126829))], (182 ^ _121078) ^ [_127075, _127077, _127079, _127081] : [-(sdtpldt1(_127081, _127077) = sdtpldt1(_127079, _127075)), _127081 = _127079, _127077 = _127075], (192 ^ _121078) ^ [_127406, _127408] : [_127408 = _127406, -(sbrdtbr0(_127408) = sbrdtbr0(_127406))], (198 ^ _121078) ^ [_127652, _127654, _127656, _127658] : [-(sdtpldt0(_127658, _127654) = sdtpldt0(_127656, _127652)), _127658 = _127656, _127654 = _127652], (218 ^ _121078) ^ [_128322, _128324] : [_128324 = _128322, -(slsdtgt0(_128324) = slsdtgt0(_128322))], (208 ^ _121078) ^ [_128011, _128013, _128015, _128017] : [-(sdtasdt0(_128017, _128013) = sdtasdt0(_128015, _128011)), _128017 = _128015, _128013 = _128011], (2 ^ _121078) ^ [_121222] : [-(_121222 = _121222)], (4 ^ _121078) ^ [_121329, _121331] : [_121331 = _121329, -(_121329 = _121331)], (10 ^ _121078) ^ [_121533, _121535, _121537] : [-(_121537 = _121533), _121537 = _121535, _121535 = _121533], (20 ^ _121078) ^ [_121902, _121904, _121906, _121908, _121910, _121912] : [-(sdteqdtlpzmzozddtrp0(_121910, _121906, _121902)), sdteqdtlpzmzozddtrp0(_121912, _121908, _121904), _121912 = _121910, _121908 = _121906, _121904 = _121902], (38 ^ _121078) ^ [_122455, _122457] : [-(aNaturalNumber0(_122455)), _122457 = _122455, aNaturalNumber0(_122457)], (48 ^ _121078) ^ [_122778, _122780, _122782, _122784] : [-(iLess0(_122782, _122778)), iLess0(_122784, _122780), _122784 = _122782, _122780 = _122778], (62 ^ _121078) ^ [_123222, _123224, _123226, _123228] : [-(aDivisorOf0(_123226, _123222)), aDivisorOf0(_123228, _123224), _123228 = _123226, _123224 = _123222], (76 ^ _121078) ^ [_123666, _123668, _123670, _123672] : [-(doDivides0(_123670, _123666)), doDivides0(_123672, _123668), _123672 = _123670, _123668 = _123666], (90 ^ _121078) ^ [_124110, _124112, _124114, _124116] : [-(misRelativelyPrime0(_124114, _124110)), misRelativelyPrime0(_124116, _124112), _124116 = _124114, _124112 = _124110], (104 ^ _121078) ^ [_124582, _124584, _124586, _124588, _124590, _124592] : [-(aGcdOfAnd0(_124590, _124586, _124582)), aGcdOfAnd0(_124592, _124588, _124584), _124592 = _124590, _124588 = _124586, _124584 = _124582], (122 ^ _121078) ^ [_125135, _125137] : [-(aSet0(_125135)), _125137 = _125135, aSet0(_125137)], (132 ^ _121078) ^ [_125430, _125432] : [-(aElement0(_125430)), _125432 = _125430, aElement0(_125432)], (156 ^ _121078) ^ [_126149, _126151] : [-(aIdeal0(_126149)), _126151 = _126149, aIdeal0(_126151)], (142 ^ _121078) ^ [_125753, _125755, _125757, _125759] : [-(aElementOf0(_125757, _125753)), aElementOf0(_125759, _125755), _125759 = _125757, _125755 = _125753], (224 ^ _121078) ^ [_128584] : [aElement0(_128584), true___, -(true___)], (234 ^ _121078) ^ [] : [-(aElement0(sz00))], (236 ^ _121078) ^ [] : [-(aElement0(sz10))], (238 ^ _121078) ^ [_128945] : [aElement0(_128945), -(aElement0(smndt0(_128945)))], (244 ^ _121078) ^ [_129149, _129151] : [-(aElement0(sdtpldt0(_129151, _129149))), aElement0(_129151), aElement0(_129149)], (254 ^ _121078) ^ [_129448, _129450] : [-(aElement0(sdtasdt0(_129450, _129448))), aElement0(_129450), aElement0(_129448)], (264 ^ _121078) ^ [_129747, _129749] : [-(sdtpldt0(_129749, _129747) = sdtpldt0(_129747, _129749)), aElement0(_129749), aElement0(_129747)], (274 ^ _121078) ^ [_130068, _130070, _130072] : [-(sdtpldt0(sdtpldt0(_130072, _130070), _130068) = sdtpldt0(_130072, sdtpldt0(_130070, _130068))), aElement0(_130072), aElement0(_130070), aElement0(_130068)], (288 ^ _121078) ^ [_130474] : [aElement0(_130474), 291 ^ _121078 : [(292 ^ _121078) ^ [] : [-(sdtpldt0(_130474, sz00) = _130474)], (294 ^ _121078) ^ [] : [-(_130474 = sdtpldt0(sz00, _130474))]]], (296 ^ _121078) ^ [_130747] : [aElement0(_130747), 299 ^ _121078 : [(300 ^ _121078) ^ [] : [-(sdtpldt0(_130747, smndt0(_130747)) = sz00)], (302 ^ _121078) ^ [] : [-(sz00 = sdtpldt0(smndt0(_130747), _130747))]]], (304 ^ _121078) ^ [_131042, _131044] : [-(sdtasdt0(_131044, _131042) = sdtasdt0(_131042, _131044)), aElement0(_131044), aElement0(_131042)], (314 ^ _121078) ^ [_131363, _131365, _131367] : [-(sdtasdt0(sdtasdt0(_131367, _131365), _131363) = sdtasdt0(_131367, sdtasdt0(_131365, _131363))), aElement0(_131367), aElement0(_131365), aElement0(_131363)], (328 ^ _121078) ^ [_131769] : [aElement0(_131769), 331 ^ _121078 : [(332 ^ _121078) ^ [] : [-(sdtasdt0(_131769, sz10) = _131769)], (334 ^ _121078) ^ [] : [-(_131769 = sdtasdt0(sz10, _131769))]]], (336 ^ _121078) ^ [_132070, _132072, _132074] : [347 ^ _121078 : [(348 ^ _121078) ^ [] : [-(sdtasdt0(_132074, sdtpldt0(_132072, _132070)) = sdtpldt0(sdtasdt0(_132074, _132072), sdtasdt0(_132074, _132070)))], (350 ^ _121078) ^ [] : [-(sdtasdt0(sdtpldt0(_132072, _132070), _132074) = sdtpldt0(sdtasdt0(_132072, _132074), sdtasdt0(_132070, _132074)))]], aElement0(_132074), aElement0(_132072), aElement0(_132070)], (352 ^ _121078) ^ [_132589] : [aElement0(_132589), 355 ^ _121078 : [(356 ^ _121078) ^ [] : [-(sdtasdt0(smndt0(sz10), _132589) = smndt0(_132589))], (358 ^ _121078) ^ [] : [-(smndt0(_132589) = sdtasdt0(_132589, smndt0(sz10)))]]], (360 ^ _121078) ^ [_132870] : [aElement0(_132870), 363 ^ _121078 : [(364 ^ _121078) ^ [] : [-(sdtasdt0(_132870, sz00) = sz00)], (366 ^ _121078) ^ [] : [-(sz00 = sdtasdt0(sz00, _132870))]]], (368 ^ _121078) ^ [_133157, _133159] : [aElement0(_133159), aElement0(_133157), sdtasdt0(_133159, _133157) = sz00, -(_133159 = sz00), -(_133157 = sz00)], (386 ^ _121078) ^ [] : [sz10 = sz00], (388 ^ _121078) ^ [_133677] : [aSet0(_133677), true___, -(true___)], (398 ^ _121078) ^ [_133932] : [aSet0(_133932), 401 ^ _121078 : [(402 ^ _121078) ^ [_134062] : [aElementOf0(_134062, _133932), -(aElement0(_134062))]]], (408 ^ _121078) ^ [_134277, _134279] : [aSet0(_134279), aSet0(_134277), -(_134279 = _134277), 420 ^ _121078 : [(421 ^ _121078) ^ [] : [-(aElementOf0(419 ^ [_134277, _134279], _134279))], (423 ^ _121078) ^ [] : [aElementOf0(419 ^ [_134277, _134279], _134277)]], 425 ^ _121078 : [(426 ^ _121078) ^ [] : [-(aElementOf0(424 ^ [_134277, _134279], _134277))], (428 ^ _121078) ^ [] : [aElementOf0(424 ^ [_134277, _134279], _134279)]]], (432 ^ _121078) ^ [_135042, _135044] : [aSet0(_135044), aSet0(_135042), 439 ^ _121078 : [(472 ^ _121078) ^ [_136672] : [-(_136672 = sdtpldt1(_135044, _135042)), aSet0(_136672), 494 ^ _121078 : [(495 ^ _121078) ^ [] : [-(aElementOf0(492 ^ [_135042, _135044, _136672], _135044))], (497 ^ _121078) ^ [] : [-(aElementOf0(493 ^ [_135042, _135044, _136672], _135042))], (499 ^ _121078) ^ [] : [-(sdtpldt0(492 ^ [_135042, _135044, _136672], 493 ^ [_135042, _135044, _136672]) = 477 ^ [_135042, _135044, _136672])], (501 ^ _121078) ^ [] : [aElementOf0(477 ^ [_135042, _135044, _136672], _136672)]], 480 ^ _121078 : [(481 ^ _121078) ^ [] : [-(aElementOf0(477 ^ [_135042, _135044, _136672], _136672))], (483 ^ _121078) ^ [_137101, _137103] : [aElementOf0(_137103, _135044), aElementOf0(_137101, _135042), sdtpldt0(_137103, _137101) = 477 ^ [_135042, _135044, _136672]]]], (440 ^ _121078) ^ [_135337] : [_135337 = sdtpldt1(_135044, _135042), 443 ^ _121078 : [(444 ^ _121078) ^ [] : [-(aSet0(_135337))], (446 ^ _121078) ^ [_135614] : [aElementOf0(_135614, _135337), 451 ^ _121078 : [(452 ^ _121078) ^ [] : [-(aElementOf0(449 ^ [_135042, _135044, _135337, _135614], _135044))], (454 ^ _121078) ^ [] : [-(aElementOf0(450 ^ [_135042, _135044, _135337, _135614], _135042))], (456 ^ _121078) ^ [] : [-(sdtpldt0(449 ^ [_135042, _135044, _135337, _135614], 450 ^ [_135042, _135044, _135337, _135614]) = _135614)]]], (458 ^ _121078) ^ [_136174] : [-(aElementOf0(_136174, _135337)), 459 ^ _121078 : [(460 ^ _121078) ^ [_136304, _136306] : [aElementOf0(_136306, _135044), aElementOf0(_136304, _135042), sdtpldt0(_136306, _136304) = _136174]]]]]]], (505 ^ _121078) ^ [_138022, _138024] : [aSet0(_138024), aSet0(_138022), 512 ^ _121078 : [(537 ^ _121078) ^ [_139101] : [-(_139101 = sdtasasdt0(_138024, _138022)), aSet0(_139101), 553 ^ _121078 : [(554 ^ _121078) ^ [] : [-(aElementOf0(542 ^ [_138022, _138024, _139101], _138024))], (556 ^ _121078) ^ [] : [-(aElementOf0(542 ^ [_138022, _138024, _139101], _138022))], (558 ^ _121078) ^ [] : [aElementOf0(542 ^ [_138022, _138024, _139101], _139101)]], 545 ^ _121078 : [(546 ^ _121078) ^ [] : [-(aElementOf0(542 ^ [_138022, _138024, _139101], _139101))], (548 ^ _121078) ^ [] : [aElementOf0(542 ^ [_138022, _138024, _139101], _138024), aElementOf0(542 ^ [_138022, _138024, _139101], _138022)]]], (513 ^ _121078) ^ [_138298] : [_138298 = sdtasasdt0(_138024, _138022), 516 ^ _121078 : [(517 ^ _121078) ^ [] : [-(aSet0(_138298))], (519 ^ _121078) ^ [_138556] : [aElementOf0(_138556, _138298), 522 ^ _121078 : [(523 ^ _121078) ^ [] : [-(aElementOf0(_138556, _138024))], (525 ^ _121078) ^ [] : [-(aElementOf0(_138556, _138022))]]], (527 ^ _121078) ^ [_138815] : [-(aElementOf0(_138815, _138298)), aElementOf0(_138815, _138024), aElementOf0(_138815, _138022)]]]]], (584 ^ _121078) ^ [_140766] : [-(aIdeal0(_140766)), aSet0(_140766), 590 ^ _121078 : [(591 ^ _121078) ^ [] : [-(aElementOf0(589 ^ [_140766], _140766))], (593 ^ _121078) ^ [] : [595 ^ _121078 : [(596 ^ _121078) ^ [] : [-(aElementOf0(594 ^ [_140766], _140766))], (598 ^ _121078) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_140766], 594 ^ [_140766]), _140766)]], 600 ^ _121078 : [(601 ^ _121078) ^ [] : [-(aElement0(599 ^ [_140766]))], (603 ^ _121078) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_140766], 589 ^ [_140766]), _140766)]]]]], (562 ^ _121078) ^ [_139971] : [aIdeal0(_139971), 565 ^ _121078 : [(566 ^ _121078) ^ [] : [-(aSet0(_139971))], (568 ^ _121078) ^ [_140203] : [aElementOf0(_140203, _139971), 571 ^ _121078 : [(572 ^ _121078) ^ [_140384] : [aElementOf0(_140384, _139971), -(aElementOf0(sdtpldt0(_140203, _140384), _139971))], (578 ^ _121078) ^ [_140576] : [aElement0(_140576), -(aElementOf0(sdtasdt0(_140576, _140203), _139971))]]]]], (607 ^ _121078) ^ [_141606, _141608] : [-(aIdeal0(sdtpldt1(_141608, _141606))), aIdeal0(_141608), aIdeal0(_141606)], (617 ^ _121078) ^ [_141905, _141907] : [-(aIdeal0(sdtasasdt0(_141907, _141905))), aIdeal0(_141907), aIdeal0(_141905)], (627 ^ _121078) ^ [_142218, _142220, _142222] : [aElement0(_142222), aElement0(_142220), aIdeal0(_142218), 638 ^ _121078 : [(639 ^ _121078) ^ [] : [sdteqdtlpzmzozddtrp0(_142222, _142220, _142218), -(aElementOf0(sdtpldt0(_142222, smndt0(_142220)), _142218))], (645 ^ _121078) ^ [] : [aElementOf0(sdtpldt0(_142222, smndt0(_142220)), _142218), -(sdteqdtlpzmzozddtrp0(_142222, _142220, _142218))]]], (651 ^ _121078) ^ [_142896, _142898] : [aIdeal0(_142898), aIdeal0(_142896), 661 ^ _121078 : [(662 ^ _121078) ^ [] : [-(aElement0(660 ^ [_142896, _142898]))], (664 ^ _121078) ^ [] : [aElementOf0(660 ^ [_142896, _142898], sdtpldt1(_142898, _142896))]], 665 ^ _121078 : [(666 ^ _121078) ^ [_143394, _143396] : [674 ^ _121078 : [(675 ^ _121078) ^ [] : [-(aElement0(673 ^ [_142896, _142898, _143394, _143396]))], (677 ^ _121078) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_142896, _142898, _143394, _143396], _143396, _142898))], (679 ^ _121078) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_142896, _142898, _143394, _143396], _143394, _142896))]], aElement0(_143396), aElement0(_143394)]]], (681 ^ _121078) ^ [_143974] : [aNaturalNumber0(_143974), true___, -(true___)], (691 ^ _121078) ^ [_144229] : [-(aNaturalNumber0(sbrdtbr0(_144229))), aElement0(_144229), -(_144229 = sz00)], (701 ^ _121078) ^ [_144521, _144523] : [aNaturalNumber0(_144523), aNaturalNumber0(_144521), iLess0(_144523, _144521), true___, -(true___)], (719 ^ _121078) ^ [_144981, _144983] : [732 ^ _121078 : [(733 ^ _121078) ^ [] : [-(aElement0(730 ^ [_144981, _144983]))], (735 ^ _121078) ^ [] : [-(aElement0(731 ^ [_144981, _144983]))], (737 ^ _121078) ^ [] : [-(_144983 = sdtpldt0(sdtasdt0(730 ^ [_144981, _144983], _144981), 731 ^ [_144981, _144983]))], (739 ^ _121078) ^ [] : [-(731 ^ [_144981, _144983] = sz00), -(iLess0(sbrdtbr0(731 ^ [_144981, _144983]), sbrdtbr0(_144981)))]], aElement0(_144983), aElement0(_144981), -(_144981 = sz00)], (745 ^ _121078) ^ [_145928, _145930] : [aElement0(_145930), aElement0(_145928), 752 ^ _121078 : [(753 ^ _121078) ^ [] : [doDivides0(_145930, _145928), 757 ^ _121078 : [(758 ^ _121078) ^ [] : [-(aElement0(756 ^ [_145928, _145930]))], (760 ^ _121078) ^ [] : [-(sdtasdt0(_145930, 756 ^ [_145928, _145930]) = _145928)]]], (762 ^ _121078) ^ [] : [-(doDivides0(_145930, _145928)), 763 ^ _121078 : [(764 ^ _121078) ^ [_146488] : [aElement0(_146488), sdtasdt0(_145930, _146488) = _145928]]]]], (772 ^ _121078) ^ [_146757] : [aElement0(_146757), 775 ^ _121078 : [(776 ^ _121078) ^ [_146922] : [aDivisorOf0(_146922, _146757), 779 ^ _121078 : [(780 ^ _121078) ^ [] : [-(aElement0(_146922))], (782 ^ _121078) ^ [] : [-(doDivides0(_146922, _146757))]]], (784 ^ _121078) ^ [_147159] : [-(aDivisorOf0(_147159, _146757)), aElement0(_147159), doDivides0(_147159, _146757)]]], (794 ^ _121078) ^ [_147465, _147467] : [aElement0(_147467), aElement0(_147465), 801 ^ _121078 : [(802 ^ _121078) ^ [_147746] : [aGcdOfAnd0(_147746, _147467, _147465), 805 ^ _121078 : [(806 ^ _121078) ^ [] : [-(aDivisorOf0(_147746, _147467))], (808 ^ _121078) ^ [] : [-(aDivisorOf0(_147746, _147465))], (810 ^ _121078) ^ [_148047] : [-(doDivides0(_148047, _147746)), aDivisorOf0(_148047, _147467), aDivisorOf0(_148047, _147465)]]], (820 ^ _121078) ^ [_148333] : [-(aGcdOfAnd0(_148333, _147467, _147465)), aDivisorOf0(_148333, _147467), aDivisorOf0(_148333, _147465), 830 ^ _121078 : [(831 ^ _121078) ^ [] : [-(aDivisorOf0(829 ^ [_147465, _147467, _148333], _147467))], (833 ^ _121078) ^ [] : [-(aDivisorOf0(829 ^ [_147465, _147467, _148333], _147465))], (835 ^ _121078) ^ [] : [doDivides0(829 ^ [_147465, _147467, _148333], _148333)]]]]], (839 ^ _121078) ^ [_148998, _149000] : [aElement0(_149000), aElement0(_148998), 846 ^ _121078 : [(847 ^ _121078) ^ [] : [misRelativelyPrime0(_149000, _148998), -(aGcdOfAnd0(sz10, _149000, _148998))], (853 ^ _121078) ^ [] : [aGcdOfAnd0(sz10, _149000, _148998), -(misRelativelyPrime0(_149000, _148998))]]], (914 ^ _121078) ^ [] : [-(aElement0(xc))], (859 ^ _121078) ^ [_149534] : [aElement0(_149534), 862 ^ _121078 : [(888 ^ _121078) ^ [_150658] : [-(_150658 = slsdtgt0(_149534)), aSet0(_150658), 905 ^ _121078 : [(906 ^ _121078) ^ [] : [-(aElement0(904 ^ [_149534, _150658]))], (908 ^ _121078) ^ [] : [-(sdtasdt0(_149534, 904 ^ [_149534, _150658]) = 893 ^ [_149534, _150658])], (910 ^ _121078) ^ [] : [aElementOf0(893 ^ [_149534, _150658], _150658)]], 896 ^ _121078 : [(897 ^ _121078) ^ [] : [-(aElementOf0(893 ^ [_149534, _150658], _150658))], (899 ^ _121078) ^ [_151030] : [aElement0(_151030), sdtasdt0(_149534, _151030) = 893 ^ [_149534, _150658]]]], (863 ^ _121078) ^ [_149725] : [_149725 = slsdtgt0(_149534), 866 ^ _121078 : [(867 ^ _121078) ^ [] : [-(aSet0(_149725))], (869 ^ _121078) ^ [_149980] : [aElementOf0(_149980, _149725), 873 ^ _121078 : [(874 ^ _121078) ^ [] : [-(aElement0(872 ^ [_149534, _149725, _149980]))], (876 ^ _121078) ^ [] : [-(sdtasdt0(_149534, 872 ^ [_149534, _149725, _149980]) = _149980)]]], (878 ^ _121078) ^ [_150313] : [-(aElementOf0(_150313, _149725)), 879 ^ _121078 : [(880 ^ _121078) ^ [_150413] : [aElement0(_150413), sdtasdt0(_149534, _150413) = _150313]]]]]]]], input).
% 0.47/1.38 ncf('1',plain,[aIdeal0(slsdtgt0(xc))],start(946 ^ 0)).
% 0.47/1.38 ncf('1.1',plain,[-(aIdeal0(slsdtgt0(xc))), aSet0(slsdtgt0(xc)), 596 : -(aElementOf0(594 ^ [slsdtgt0(xc)], slsdtgt0(xc))), 601 : -(aElement0(599 ^ [slsdtgt0(xc)]))],extension(584 ^ 1,bind([[_140766], [slsdtgt0(xc)]]))).
% 0.47/1.38 ncf('1.1.1',plain,[-(aSet0(slsdtgt0(xc))), 863 : slsdtgt0(xc) = slsdtgt0(xc), 863 : aElement0(xc)],extension(859 ^ 2,bind([[_149534, _149725], [xc, slsdtgt0(xc)]]))).
% 0.47/1.38 ncf('1.1.1.1',plain,[-(slsdtgt0(xc) = slsdtgt0(xc))],extension(2 ^ 5,bind([[_121222], [slsdtgt0(xc)]]))).
% 0.47/1.38 ncf('1.1.1.2',plain,[-(aElement0(xc))],extension(914 ^ 3)).
% 0.47/1.38 ncf('1.1.2',plain,[aElementOf0(594 ^ [slsdtgt0(xc)], slsdtgt0(xc)), 942 : -(aElementOf0(sdtpldt0(589 ^ [slsdtgt0(xc)], 594 ^ [slsdtgt0(xc)]), slsdtgt0(xc))), 942 : aElementOf0(589 ^ [slsdtgt0(xc)], slsdtgt0(xc)), 942 : aElement0(927 ^ [sz00, 594 ^ [slsdtgt0(xc)], 594 ^ [slsdtgt0(xc)]])],extension(916 ^ 6,bind([[_151923, _151925, _151927], [927 ^ [sz00, 594 ^ [slsdtgt0(xc)], 594 ^ [slsdtgt0(xc)]], 594 ^ [slsdtgt0(xc)], 589 ^ [slsdtgt0(xc)]]]))).
% 0.47/1.38 ncf('1.1.2.1',plain,[aElementOf0(sdtpldt0(589 ^ [slsdtgt0(xc)], 594 ^ [slsdtgt0(xc)]), slsdtgt0(xc))],extension(598 ^ 9)).
% 0.47/1.38 ncf('1.1.2.2',plain,[-(aElementOf0(589 ^ [slsdtgt0(xc)], slsdtgt0(xc)))],extension(591 ^ 7)).
% 0.47/1.38 ncf('1.1.2.3',plain,[-(aElement0(927 ^ [sz00, 594 ^ [slsdtgt0(xc)], 594 ^ [slsdtgt0(xc)]])), aElementOf0(594 ^ [slsdtgt0(xc)], slsdtgt0(xc)), aElementOf0(594 ^ [slsdtgt0(xc)], slsdtgt0(xc)), aElement0(sz00)],extension(916 ^ 7,bind([[_151923, _151925, _151927], [sz00, 594 ^ [slsdtgt0(xc)], 594 ^ [slsdtgt0(xc)]]]))).
% 0.47/1.38 ncf('1.1.2.3.1',plain,[-(aElementOf0(594 ^ [slsdtgt0(xc)], slsdtgt0(xc)))],reduction('1.1')).
% 0.47/1.38 ncf('1.1.2.3.2',plain,[-(aElementOf0(594 ^ [slsdtgt0(xc)], slsdtgt0(xc)))],reduction('1.1')).
% 0.47/1.38 ncf('1.1.2.3.3',plain,[-(aElement0(sz00))],extension(234 ^ 8)).
% 0.47/1.38 ncf('1.1.3',plain,[aElement0(599 ^ [slsdtgt0(xc)]), 944 : -(aElementOf0(sdtasdt0(599 ^ [slsdtgt0(xc)], 589 ^ [slsdtgt0(xc)]), slsdtgt0(xc))), 944 : aElementOf0(589 ^ [slsdtgt0(xc)], slsdtgt0(xc)), 944 : aElementOf0(589 ^ [slsdtgt0(xc)], slsdtgt0(xc))],extension(916 ^ 6,bind([[_151923, _151925, _151927], [599 ^ [slsdtgt0(xc)], 589 ^ [slsdtgt0(xc)], 589 ^ [slsdtgt0(xc)]]]))).
% 0.47/1.38 ncf('1.1.3.1',plain,[aElementOf0(sdtasdt0(599 ^ [slsdtgt0(xc)], 589 ^ [slsdtgt0(xc)]), slsdtgt0(xc))],extension(603 ^ 9)).
% 0.47/1.38 ncf('1.1.3.2',plain,[-(aElementOf0(589 ^ [slsdtgt0(xc)], slsdtgt0(xc)))],extension(591 ^ 7)).
% 0.47/1.38 ncf('1.1.3.3',plain,[-(aElementOf0(589 ^ [slsdtgt0(xc)], slsdtgt0(xc)))],extension(591 ^ 7)).
% 0.47/1.38 %-----------------------------------------------------
% 0.47/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------