TSTP Solution File: RNG102+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 5.94s 6.53s
% Output : Proof 5.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 18 20:23:51 EDT 2023
% 0.11/0.32 % CPUTime :
% 5.94/6.53
% 5.94/6.53 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 5.94/6.53 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.94/6.53 %-----------------------------------------------------
% 5.94/6.53 ncf(matrix, plain, [(936 ^ _114026) ^ [_145442] : [aElement0(_145442), sdtasdt0(xc, _145442) = xy], (166 ^ _114026) ^ [_119446, _119448, _119450, _119452] : [-(sdtasasdt0(_119452, _119448) = sdtasasdt0(_119450, _119446)), _119452 = _119450, _119448 = _119446], (176 ^ _114026) ^ [_119777, _119779] : [_119779 = _119777, -(smndt0(_119779) = smndt0(_119777))], (182 ^ _114026) ^ [_120023, _120025, _120027, _120029] : [-(sdtpldt1(_120029, _120025) = sdtpldt1(_120027, _120023)), _120029 = _120027, _120025 = _120023], (192 ^ _114026) ^ [_120382, _120384, _120386, _120388] : [-(sdtpldt0(_120388, _120384) = sdtpldt0(_120386, _120382)), _120388 = _120386, _120384 = _120382], (202 ^ _114026) ^ [_120713, _120715] : [_120715 = _120713, -(sbrdtbr0(_120715) = sbrdtbr0(_120713))], (208 ^ _114026) ^ [_120931, _120933] : [_120933 = _120931, -(slsdtgt0(_120933) = slsdtgt0(_120931))], (214 ^ _114026) ^ [_121157, _121159, _121161, _121163] : [-(sdtasdt0(_121163, _121159) = sdtasdt0(_121161, _121157)), _121163 = _121161, _121159 = _121157], (2 ^ _114026) ^ [_114170] : [-(_114170 = _114170)], (4 ^ _114026) ^ [_114277, _114279] : [_114279 = _114277, -(_114277 = _114279)], (10 ^ _114026) ^ [_114481, _114483, _114485] : [-(_114485 = _114481), _114485 = _114483, _114483 = _114481], (20 ^ _114026) ^ [_114794, _114796] : [-(aIdeal0(_114794)), _114796 = _114794, aIdeal0(_114796)], (30 ^ _114026) ^ [_115145, _115147, _115149, _115151, _115153, _115155] : [-(sdteqdtlpzmzozddtrp0(_115153, _115149, _115145)), sdteqdtlpzmzozddtrp0(_115155, _115151, _115147), _115155 = _115153, _115151 = _115149, _115147 = _115145], (48 ^ _114026) ^ [_115698, _115700] : [-(aNaturalNumber0(_115698)), _115700 = _115698, aNaturalNumber0(_115700)], (58 ^ _114026) ^ [_116021, _116023, _116025, _116027] : [-(iLess0(_116025, _116021)), iLess0(_116027, _116023), _116027 = _116025, _116023 = _116021], (72 ^ _114026) ^ [_116465, _116467, _116469, _116471] : [-(aDivisorOf0(_116469, _116465)), aDivisorOf0(_116471, _116467), _116471 = _116469, _116467 = _116465], (86 ^ _114026) ^ [_116909, _116911, _116913, _116915] : [-(doDivides0(_116913, _116909)), doDivides0(_116915, _116911), _116915 = _116913, _116911 = _116909], (100 ^ _114026) ^ [_117353, _117355, _117357, _117359] : [-(misRelativelyPrime0(_117357, _117353)), misRelativelyPrime0(_117359, _117355), _117359 = _117357, _117355 = _117353], (114 ^ _114026) ^ [_117825, _117827, _117829, _117831, _117833, _117835] : [-(aGcdOfAnd0(_117833, _117829, _117825)), aGcdOfAnd0(_117835, _117831, _117827), _117835 = _117833, _117831 = _117829, _117827 = _117825], (132 ^ _114026) ^ [_118378, _118380] : [-(aSet0(_118378)), _118380 = _118378, aSet0(_118380)], (156 ^ _114026) ^ [_119097, _119099] : [-(aElement0(_119097)), _119099 = _119097, aElement0(_119099)], (142 ^ _114026) ^ [_118701, _118703, _118705, _118707] : [-(aElementOf0(_118705, _118701)), aElementOf0(_118707, _118703), _118707 = _118705, _118703 = _118701], (224 ^ _114026) ^ [_121532] : [aElement0(_121532), true___, -(true___)], (234 ^ _114026) ^ [] : [-(aElement0(sz00))], (236 ^ _114026) ^ [] : [-(aElement0(sz10))], (238 ^ _114026) ^ [_121893] : [aElement0(_121893), -(aElement0(smndt0(_121893)))], (244 ^ _114026) ^ [_122097, _122099] : [-(aElement0(sdtpldt0(_122099, _122097))), aElement0(_122099), aElement0(_122097)], (254 ^ _114026) ^ [_122396, _122398] : [-(aElement0(sdtasdt0(_122398, _122396))), aElement0(_122398), aElement0(_122396)], (264 ^ _114026) ^ [_122695, _122697] : [-(sdtpldt0(_122697, _122695) = sdtpldt0(_122695, _122697)), aElement0(_122697), aElement0(_122695)], (274 ^ _114026) ^ [_123016, _123018, _123020] : [-(sdtpldt0(sdtpldt0(_123020, _123018), _123016) = sdtpldt0(_123020, sdtpldt0(_123018, _123016))), aElement0(_123020), aElement0(_123018), aElement0(_123016)], (288 ^ _114026) ^ [_123422] : [aElement0(_123422), 291 ^ _114026 : [(292 ^ _114026) ^ [] : [-(sdtpldt0(_123422, sz00) = _123422)], (294 ^ _114026) ^ [] : [-(_123422 = sdtpldt0(sz00, _123422))]]], (296 ^ _114026) ^ [_123695] : [aElement0(_123695), 299 ^ _114026 : [(300 ^ _114026) ^ [] : [-(sdtpldt0(_123695, smndt0(_123695)) = sz00)], (302 ^ _114026) ^ [] : [-(sz00 = sdtpldt0(smndt0(_123695), _123695))]]], (304 ^ _114026) ^ [_123990, _123992] : [-(sdtasdt0(_123992, _123990) = sdtasdt0(_123990, _123992)), aElement0(_123992), aElement0(_123990)], (314 ^ _114026) ^ [_124311, _124313, _124315] : [-(sdtasdt0(sdtasdt0(_124315, _124313), _124311) = sdtasdt0(_124315, sdtasdt0(_124313, _124311))), aElement0(_124315), aElement0(_124313), aElement0(_124311)], (328 ^ _114026) ^ [_124717] : [aElement0(_124717), 331 ^ _114026 : [(332 ^ _114026) ^ [] : [-(sdtasdt0(_124717, sz10) = _124717)], (334 ^ _114026) ^ [] : [-(_124717 = sdtasdt0(sz10, _124717))]]], (336 ^ _114026) ^ [_125018, _125020, _125022] : [347 ^ _114026 : [(348 ^ _114026) ^ [] : [-(sdtasdt0(_125022, sdtpldt0(_125020, _125018)) = sdtpldt0(sdtasdt0(_125022, _125020), sdtasdt0(_125022, _125018)))], (350 ^ _114026) ^ [] : [-(sdtasdt0(sdtpldt0(_125020, _125018), _125022) = sdtpldt0(sdtasdt0(_125020, _125022), sdtasdt0(_125018, _125022)))]], aElement0(_125022), aElement0(_125020), aElement0(_125018)], (352 ^ _114026) ^ [_125537] : [aElement0(_125537), 355 ^ _114026 : [(356 ^ _114026) ^ [] : [-(sdtasdt0(smndt0(sz10), _125537) = smndt0(_125537))], (358 ^ _114026) ^ [] : [-(smndt0(_125537) = sdtasdt0(_125537, smndt0(sz10)))]]], (360 ^ _114026) ^ [_125818] : [aElement0(_125818), 363 ^ _114026 : [(364 ^ _114026) ^ [] : [-(sdtasdt0(_125818, sz00) = sz00)], (366 ^ _114026) ^ [] : [-(sz00 = sdtasdt0(sz00, _125818))]]], (368 ^ _114026) ^ [_126105, _126107] : [aElement0(_126107), aElement0(_126105), sdtasdt0(_126107, _126105) = sz00, -(_126107 = sz00), -(_126105 = sz00)], (386 ^ _114026) ^ [] : [sz10 = sz00], (388 ^ _114026) ^ [_126625] : [aSet0(_126625), true___, -(true___)], (398 ^ _114026) ^ [_126880] : [aSet0(_126880), 401 ^ _114026 : [(402 ^ _114026) ^ [_127010] : [aElementOf0(_127010, _126880), -(aElement0(_127010))]]], (408 ^ _114026) ^ [_127225, _127227] : [aSet0(_127227), aSet0(_127225), -(_127227 = _127225), 420 ^ _114026 : [(421 ^ _114026) ^ [] : [-(aElementOf0(419 ^ [_127225, _127227], _127227))], (423 ^ _114026) ^ [] : [aElementOf0(419 ^ [_127225, _127227], _127225)]], 425 ^ _114026 : [(426 ^ _114026) ^ [] : [-(aElementOf0(424 ^ [_127225, _127227], _127225))], (428 ^ _114026) ^ [] : [aElementOf0(424 ^ [_127225, _127227], _127227)]]], (432 ^ _114026) ^ [_127990, _127992] : [aSet0(_127992), aSet0(_127990), 439 ^ _114026 : [(472 ^ _114026) ^ [_129620] : [-(_129620 = sdtpldt1(_127992, _127990)), aSet0(_129620), 494 ^ _114026 : [(495 ^ _114026) ^ [] : [-(aElementOf0(492 ^ [_127990, _127992, _129620], _127992))], (497 ^ _114026) ^ [] : [-(aElementOf0(493 ^ [_127990, _127992, _129620], _127990))], (499 ^ _114026) ^ [] : [-(sdtpldt0(492 ^ [_127990, _127992, _129620], 493 ^ [_127990, _127992, _129620]) = 477 ^ [_127990, _127992, _129620])], (501 ^ _114026) ^ [] : [aElementOf0(477 ^ [_127990, _127992, _129620], _129620)]], 480 ^ _114026 : [(481 ^ _114026) ^ [] : [-(aElementOf0(477 ^ [_127990, _127992, _129620], _129620))], (483 ^ _114026) ^ [_130049, _130051] : [aElementOf0(_130051, _127992), aElementOf0(_130049, _127990), sdtpldt0(_130051, _130049) = 477 ^ [_127990, _127992, _129620]]]], (440 ^ _114026) ^ [_128285] : [_128285 = sdtpldt1(_127992, _127990), 443 ^ _114026 : [(444 ^ _114026) ^ [] : [-(aSet0(_128285))], (446 ^ _114026) ^ [_128562] : [aElementOf0(_128562, _128285), 451 ^ _114026 : [(452 ^ _114026) ^ [] : [-(aElementOf0(449 ^ [_127990, _127992, _128285, _128562], _127992))], (454 ^ _114026) ^ [] : [-(aElementOf0(450 ^ [_127990, _127992, _128285, _128562], _127990))], (456 ^ _114026) ^ [] : [-(sdtpldt0(449 ^ [_127990, _127992, _128285, _128562], 450 ^ [_127990, _127992, _128285, _128562]) = _128562)]]], (458 ^ _114026) ^ [_129122] : [-(aElementOf0(_129122, _128285)), 459 ^ _114026 : [(460 ^ _114026) ^ [_129252, _129254] : [aElementOf0(_129254, _127992), aElementOf0(_129252, _127990), sdtpldt0(_129254, _129252) = _129122]]]]]]], (505 ^ _114026) ^ [_130970, _130972] : [aSet0(_130972), aSet0(_130970), 512 ^ _114026 : [(537 ^ _114026) ^ [_132049] : [-(_132049 = sdtasasdt0(_130972, _130970)), aSet0(_132049), 553 ^ _114026 : [(554 ^ _114026) ^ [] : [-(aElementOf0(542 ^ [_130970, _130972, _132049], _130972))], (556 ^ _114026) ^ [] : [-(aElementOf0(542 ^ [_130970, _130972, _132049], _130970))], (558 ^ _114026) ^ [] : [aElementOf0(542 ^ [_130970, _130972, _132049], _132049)]], 545 ^ _114026 : [(546 ^ _114026) ^ [] : [-(aElementOf0(542 ^ [_130970, _130972, _132049], _132049))], (548 ^ _114026) ^ [] : [aElementOf0(542 ^ [_130970, _130972, _132049], _130972), aElementOf0(542 ^ [_130970, _130972, _132049], _130970)]]], (513 ^ _114026) ^ [_131246] : [_131246 = sdtasasdt0(_130972, _130970), 516 ^ _114026 : [(517 ^ _114026) ^ [] : [-(aSet0(_131246))], (519 ^ _114026) ^ [_131504] : [aElementOf0(_131504, _131246), 522 ^ _114026 : [(523 ^ _114026) ^ [] : [-(aElementOf0(_131504, _130972))], (525 ^ _114026) ^ [] : [-(aElementOf0(_131504, _130970))]]], (527 ^ _114026) ^ [_131763] : [-(aElementOf0(_131763, _131246)), aElementOf0(_131763, _130972), aElementOf0(_131763, _130970)]]]]], (584 ^ _114026) ^ [_133714] : [-(aIdeal0(_133714)), aSet0(_133714), 590 ^ _114026 : [(591 ^ _114026) ^ [] : [-(aElementOf0(589 ^ [_133714], _133714))], (593 ^ _114026) ^ [] : [595 ^ _114026 : [(596 ^ _114026) ^ [] : [-(aElementOf0(594 ^ [_133714], _133714))], (598 ^ _114026) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_133714], 594 ^ [_133714]), _133714)]], 600 ^ _114026 : [(601 ^ _114026) ^ [] : [-(aElement0(599 ^ [_133714]))], (603 ^ _114026) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_133714], 589 ^ [_133714]), _133714)]]]]], (562 ^ _114026) ^ [_132919] : [aIdeal0(_132919), 565 ^ _114026 : [(566 ^ _114026) ^ [] : [-(aSet0(_132919))], (568 ^ _114026) ^ [_133151] : [aElementOf0(_133151, _132919), 571 ^ _114026 : [(572 ^ _114026) ^ [_133332] : [aElementOf0(_133332, _132919), -(aElementOf0(sdtpldt0(_133151, _133332), _132919))], (578 ^ _114026) ^ [_133524] : [aElement0(_133524), -(aElementOf0(sdtasdt0(_133524, _133151), _132919))]]]]], (607 ^ _114026) ^ [_134554, _134556] : [-(aIdeal0(sdtpldt1(_134556, _134554))), aIdeal0(_134556), aIdeal0(_134554)], (617 ^ _114026) ^ [_134853, _134855] : [-(aIdeal0(sdtasasdt0(_134855, _134853))), aIdeal0(_134855), aIdeal0(_134853)], (627 ^ _114026) ^ [_135166, _135168, _135170] : [aElement0(_135170), aElement0(_135168), aIdeal0(_135166), 638 ^ _114026 : [(639 ^ _114026) ^ [] : [sdteqdtlpzmzozddtrp0(_135170, _135168, _135166), -(aElementOf0(sdtpldt0(_135170, smndt0(_135168)), _135166))], (645 ^ _114026) ^ [] : [aElementOf0(sdtpldt0(_135170, smndt0(_135168)), _135166), -(sdteqdtlpzmzozddtrp0(_135170, _135168, _135166))]]], (651 ^ _114026) ^ [_135844, _135846] : [aIdeal0(_135846), aIdeal0(_135844), 661 ^ _114026 : [(662 ^ _114026) ^ [] : [-(aElement0(660 ^ [_135844, _135846]))], (664 ^ _114026) ^ [] : [aElementOf0(660 ^ [_135844, _135846], sdtpldt1(_135846, _135844))]], 665 ^ _114026 : [(666 ^ _114026) ^ [_136342, _136344] : [674 ^ _114026 : [(675 ^ _114026) ^ [] : [-(aElement0(673 ^ [_135844, _135846, _136342, _136344]))], (677 ^ _114026) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_135844, _135846, _136342, _136344], _136344, _135846))], (679 ^ _114026) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_135844, _135846, _136342, _136344], _136342, _135844))]], aElement0(_136344), aElement0(_136342)]]], (681 ^ _114026) ^ [_136922] : [aNaturalNumber0(_136922), true___, -(true___)], (691 ^ _114026) ^ [_137177] : [-(aNaturalNumber0(sbrdtbr0(_137177))), aElement0(_137177), -(_137177 = sz00)], (701 ^ _114026) ^ [_137469, _137471] : [aNaturalNumber0(_137471), aNaturalNumber0(_137469), iLess0(_137471, _137469), true___, -(true___)], (719 ^ _114026) ^ [_137929, _137931] : [732 ^ _114026 : [(733 ^ _114026) ^ [] : [-(aElement0(730 ^ [_137929, _137931]))], (735 ^ _114026) ^ [] : [-(aElement0(731 ^ [_137929, _137931]))], (737 ^ _114026) ^ [] : [-(_137931 = sdtpldt0(sdtasdt0(730 ^ [_137929, _137931], _137929), 731 ^ [_137929, _137931]))], (739 ^ _114026) ^ [] : [-(731 ^ [_137929, _137931] = sz00), -(iLess0(sbrdtbr0(731 ^ [_137929, _137931]), sbrdtbr0(_137929)))]], aElement0(_137931), aElement0(_137929), -(_137929 = sz00)], (745 ^ _114026) ^ [_138876, _138878] : [aElement0(_138878), aElement0(_138876), 752 ^ _114026 : [(753 ^ _114026) ^ [] : [doDivides0(_138878, _138876), 757 ^ _114026 : [(758 ^ _114026) ^ [] : [-(aElement0(756 ^ [_138876, _138878]))], (760 ^ _114026) ^ [] : [-(sdtasdt0(_138878, 756 ^ [_138876, _138878]) = _138876)]]], (762 ^ _114026) ^ [] : [-(doDivides0(_138878, _138876)), 763 ^ _114026 : [(764 ^ _114026) ^ [_139436] : [aElement0(_139436), sdtasdt0(_138878, _139436) = _138876]]]]], (772 ^ _114026) ^ [_139705] : [aElement0(_139705), 775 ^ _114026 : [(776 ^ _114026) ^ [_139870] : [aDivisorOf0(_139870, _139705), 779 ^ _114026 : [(780 ^ _114026) ^ [] : [-(aElement0(_139870))], (782 ^ _114026) ^ [] : [-(doDivides0(_139870, _139705))]]], (784 ^ _114026) ^ [_140107] : [-(aDivisorOf0(_140107, _139705)), aElement0(_140107), doDivides0(_140107, _139705)]]], (794 ^ _114026) ^ [_140413, _140415] : [aElement0(_140415), aElement0(_140413), 801 ^ _114026 : [(802 ^ _114026) ^ [_140694] : [aGcdOfAnd0(_140694, _140415, _140413), 805 ^ _114026 : [(806 ^ _114026) ^ [] : [-(aDivisorOf0(_140694, _140415))], (808 ^ _114026) ^ [] : [-(aDivisorOf0(_140694, _140413))], (810 ^ _114026) ^ [_140995] : [-(doDivides0(_140995, _140694)), aDivisorOf0(_140995, _140415), aDivisorOf0(_140995, _140413)]]], (820 ^ _114026) ^ [_141281] : [-(aGcdOfAnd0(_141281, _140415, _140413)), aDivisorOf0(_141281, _140415), aDivisorOf0(_141281, _140413), 830 ^ _114026 : [(831 ^ _114026) ^ [] : [-(aDivisorOf0(829 ^ [_140413, _140415, _141281], _140415))], (833 ^ _114026) ^ [] : [-(aDivisorOf0(829 ^ [_140413, _140415, _141281], _140413))], (835 ^ _114026) ^ [] : [doDivides0(829 ^ [_140413, _140415, _141281], _141281)]]]]], (839 ^ _114026) ^ [_141946, _141948] : [aElement0(_141948), aElement0(_141946), 846 ^ _114026 : [(847 ^ _114026) ^ [] : [misRelativelyPrime0(_141948, _141946), -(aGcdOfAnd0(sz10, _141948, _141946))], (853 ^ _114026) ^ [] : [aGcdOfAnd0(sz10, _141948, _141946), -(misRelativelyPrime0(_141948, _141946))]]], (914 ^ _114026) ^ [] : [-(aElement0(xc))], (917 ^ _114026) ^ [] : [-(aElement0(915 ^ []))], (919 ^ _114026) ^ [] : [-(sdtasdt0(xc, 915 ^ []) = xx)], (921 ^ _114026) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (924 ^ _114026) ^ [] : [-(aElement0(922 ^ []))], (926 ^ _114026) ^ [] : [-(sdtasdt0(xc, 922 ^ []) = xy)], (928 ^ _114026) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (930 ^ _114026) ^ [] : [-(aElement0(xz))], (932 ^ _114026) ^ [] : [-(aElement0(xu))], (934 ^ _114026) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (859 ^ _114026) ^ [_142482] : [aElement0(_142482), 862 ^ _114026 : [(888 ^ _114026) ^ [_143606] : [-(_143606 = slsdtgt0(_142482)), aSet0(_143606), 905 ^ _114026 : [(906 ^ _114026) ^ [] : [-(aElement0(904 ^ [_142482, _143606]))], (908 ^ _114026) ^ [] : [-(sdtasdt0(_142482, 904 ^ [_142482, _143606]) = 893 ^ [_142482, _143606])], (910 ^ _114026) ^ [] : [aElementOf0(893 ^ [_142482, _143606], _143606)]], 896 ^ _114026 : [(897 ^ _114026) ^ [] : [-(aElementOf0(893 ^ [_142482, _143606], _143606))], (899 ^ _114026) ^ [_143978] : [aElement0(_143978), sdtasdt0(_142482, _143978) = 893 ^ [_142482, _143606]]]], (863 ^ _114026) ^ [_142673] : [_142673 = slsdtgt0(_142482), 866 ^ _114026 : [(867 ^ _114026) ^ [] : [-(aSet0(_142673))], (869 ^ _114026) ^ [_142928] : [aElementOf0(_142928, _142673), 873 ^ _114026 : [(874 ^ _114026) ^ [] : [-(aElement0(872 ^ [_142482, _142673, _142928]))], (876 ^ _114026) ^ [] : [-(sdtasdt0(_142482, 872 ^ [_142482, _142673, _142928]) = _142928)]]], (878 ^ _114026) ^ [_143261] : [-(aElementOf0(_143261, _142673)), 879 ^ _114026 : [(880 ^ _114026) ^ [_143361] : [aElement0(_143361), sdtasdt0(_142482, _143361) = _143261]]]]]]]], input).
% 5.94/6.53 ncf('1',plain,[sz10 = sz00],start(386 ^ 0)).
% 5.94/6.53 ncf('1.1',plain,[-(sz10 = sz00), 737 : -(922 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []])), 737 : aElement0(922 ^ []), 737 : aElement0(sz10)],extension(719 ^ 1,bind([[_137929, _137931], [sz10, 922 ^ []]]))).
% 5.94/6.53 ncf('1.1.1',plain,[922 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]), -(sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]) = 922 ^ [])],extension(4 ^ 4,bind([[_114277, _114279], [sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]), 922 ^ []]]))).
% 5.94/6.53 ncf('1.1.1.1',plain,[sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]) = 922 ^ [], -(aElement0(922 ^ [])), aElement0(sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]))],extension(156 ^ 5,bind([[_119097, _119099], [922 ^ [], sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []])]]))).
% 5.94/6.53 ncf('1.1.1.1.1',plain,[aElement0(922 ^ []), sdtasdt0(xc, 922 ^ []) = xy],extension(936 ^ 6,bind([[_145442], [922 ^ []]]))).
% 5.94/6.53 ncf('1.1.1.1.1.1',plain,[-(sdtasdt0(xc, 922 ^ []) = xy)],extension(926 ^ 7)).
% 5.94/6.53 ncf('1.1.1.1.2',plain,[-(aElement0(sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]))), 922 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]), aElement0(922 ^ [])],extension(156 ^ 6,bind([[_119097, _119099], [sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]), 922 ^ []]]))).
% 5.94/6.53 ncf('1.1.1.1.2.1',plain,[-(922 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 922 ^ []], sz10), 731 ^ [sz10, 922 ^ []]))],reduction('1.1')).
% 5.94/6.53 ncf('1.1.1.1.2.2',plain,[-(aElement0(922 ^ []))],extension(924 ^ 7)).
% 5.94/6.53 ncf('1.1.2',plain,[-(aElement0(922 ^ []))],extension(924 ^ 2)).
% 5.94/6.53 ncf('1.1.3',plain,[-(aElement0(sz10))],extension(236 ^ 2)).
% 5.94/6.53 %-----------------------------------------------------
% 5.94/6.53 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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