TSTP Solution File: NUM473+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 11:44:43 EDT 2023
% Result : Theorem 161.72s 156.57s
% Output : Proof 161.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.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 17:21:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 161.72/156.57
% 161.72/156.57 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 161.72/156.57 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.72/156.57 %-----------------------------------------------------
% 161.72/156.57 ncf(matrix, plain, [(711 ^ _125997) ^ [] : [sdtlseqdt0(xp, xq)], (705 ^ _125997) ^ [_126076] : [aNaturalNumber0(_126076), sdtpldt0(xp, _126076) = xq], !, (158 ^ _104392) ^ [_109523, _109525, _109527] : [-(sdtpldt0(sdtpldt0(_109527, _109525), _109523) = sdtpldt0(_109527, sdtpldt0(_109525, _109523))), aNaturalNumber0(_109527), aNaturalNumber0(_109525), aNaturalNumber0(_109523)], (48 ^ _104392) ^ [_106028, _106030] : [-(aNaturalNumber0(_106028)), _106030 = _106028, aNaturalNumber0(_106030)], (664 ^ _104392) ^ [] : [-(aNaturalNumber0(xl))], (58 ^ _104392) ^ [_106331, _106333, _106335, _106337] : [-(sdtlseqdt0(_106335, _106331)), sdtlseqdt0(_106337, _106333), _106337 = _106335, _106333 = _106331], (642 ^ _104392) ^ [_124066, _124068, _124070] : [aNaturalNumber0(_124070), aNaturalNumber0(_124068), aNaturalNumber0(_124066), -(doDivides0(_124070, sdtpldt0(_124068, _124066))), doDivides0(_124070, _124068), doDivides0(_124070, _124066)], (126 ^ _104392) ^ [] : [sz10 = sz00], (314 ^ _104392) ^ [_114363, _114365] : [aNaturalNumber0(_114365), aNaturalNumber0(_114363), 321 ^ _104392 : [(322 ^ _104392) ^ [] : [sdtlseqdt0(_114365, _114363), 326 ^ _104392 : [(327 ^ _104392) ^ [] : [-(aNaturalNumber0(325 ^ [_114363, _114365]))], (329 ^ _104392) ^ [] : [-(sdtpldt0(_114365, 325 ^ [_114363, _114365]) = _114363)]]], (331 ^ _104392) ^ [] : [-(sdtlseqdt0(_114365, _114363)), 332 ^ _104392 : [(333 ^ _104392) ^ [_114923] : [aNaturalNumber0(_114923), sdtpldt0(_114365, _114923) = _114363]]]]], (102 ^ _104392) ^ [_107844, _107846, _107848, _107850] : [-(sdtpldt0(_107850, _107846) = sdtpldt0(_107848, _107844)), _107850 = _107848, _107846 = _107844], (395 ^ _104392) ^ [_116825, _116827, _116829] : [aNaturalNumber0(_116829), aNaturalNumber0(_116827), aNaturalNumber0(_116825), -(sdtlseqdt0(_116829, _116825)), sdtlseqdt0(_116829, _116827), sdtlseqdt0(_116827, _116825)], (523 ^ _104392) ^ [_120635, _120637] : [aNaturalNumber0(_120637), aNaturalNumber0(_120635), iLess0(_120637, _120635), true___, -(true___)], (20 ^ _104392) ^ [_105168, _105170, _105172, _105174] : [-(iLess0(_105172, _105168)), iLess0(_105174, _105170), _105174 = _105172, _105170 = _105168], (692 ^ _104392) ^ [] : [-(aNaturalNumber0(xq))], (2 ^ _104392) ^ [_104516] : [-(_104516 = _104516)], (541 ^ _104392) ^ [_121095, _121097] : [aNaturalNumber0(_121097), aNaturalNumber0(_121095), -(iLess0(_121097, _121095)), -(_121097 = _121095), sdtlseqdt0(_121097, _121095)], (128 ^ _104392) ^ [_108604, _108606] : [-(aNaturalNumber0(sdtpldt0(_108606, _108604))), aNaturalNumber0(_108606), aNaturalNumber0(_108604)], (493 ^ _104392) ^ [_119792] : [aNaturalNumber0(_119792), -(_119792 = sz00), -(_119792 = sz10), 504 ^ _104392 : [(505 ^ _104392) ^ [] : [sz10 = _119792], (507 ^ _104392) ^ [] : [-(sdtlseqdt0(sz10, _119792))]]], (92 ^ _104392) ^ [_107505, _107507, _107509, _107511] : [-(sdtsldt0(_107511, _107507) = sdtsldt0(_107509, _107505)), _107511 = _107509, _107507 = _107505], (172 ^ _104392) ^ [_109929] : [aNaturalNumber0(_109929), 175 ^ _104392 : [(176 ^ _104392) ^ [] : [-(sdtpldt0(_109929, sz00) = _109929)], (178 ^ _104392) ^ [] : [-(_109929 = sdtpldt0(sz00, _109929))]]], (112 ^ _104392) ^ [_108175] : [aNaturalNumber0(_108175), true___, -(true___)], (686 ^ _104392) ^ [] : [-(aNaturalNumber0(xp))], (701 ^ _104392) ^ [] : [-(sdtpldt0(xm, 697 ^ []) = sdtpldt0(xm, xn))], (180 ^ _104392) ^ [_110216, _110218] : [-(sdtasdt0(_110218, _110216) = sdtasdt0(_110216, _110218)), aNaturalNumber0(_110218), aNaturalNumber0(_110216)], (682 ^ _104392) ^ [] : [-(doDivides0(xl, sdtpldt0(xm, xn)))], (122 ^ _104392) ^ [] : [-(aNaturalNumber0(sz00))], (138 ^ _104392) ^ [_108903, _108905] : [-(aNaturalNumber0(sdtasdt0(_108905, _108903))), aNaturalNumber0(_108905), aNaturalNumber0(_108903)], (34 ^ _104392) ^ [_105612, _105614, _105616, _105618] : [-(doDivides0(_105616, _105612)), doDivides0(_105618, _105614), _105618 = _105616, _105614 = _105612], (688 ^ _104392) ^ [] : [-(xm = sdtasdt0(xl, xp))], (371 ^ _104392) ^ [_116134] : [aNaturalNumber0(_116134), -(sdtlseqdt0(_116134, _116134))], (461 ^ _104392) ^ [_118842, _118844, _118846] : [aNaturalNumber0(_118846), aNaturalNumber0(_118844), aNaturalNumber0(_118842), 484 ^ _104392 : [(485 ^ _104392) ^ [] : [sdtasdt0(_118846, _118844) = sdtasdt0(_118846, _118842)], (491 ^ _104392) ^ [] : [-(sdtlseqdt0(sdtasdt0(_118844, _118846), sdtasdt0(_118842, _118846)))], (489 ^ _104392) ^ [] : [sdtasdt0(_118844, _118846) = sdtasdt0(_118842, _118846)], (487 ^ _104392) ^ [] : [-(sdtlseqdt0(sdtasdt0(_118846, _118844), sdtasdt0(_118846, _118842)))]], -(_118846 = sz00), -(_118844 = _118842), sdtlseqdt0(_118844, _118842)], (296 ^ _104392) ^ [_113881, _113883] : [aNaturalNumber0(_113883), aNaturalNumber0(_113881), sdtasdt0(_113883, _113881) = sz00, -(_113883 = sz00), -(_113881 = sz00)], (671 ^ _104392) ^ [] : [-(aNaturalNumber0(669 ^ []))], (666 ^ _104392) ^ [] : [-(aNaturalNumber0(xm))], (668 ^ _104392) ^ [] : [-(aNaturalNumber0(xn))], (220 ^ _104392) ^ [_111517, _111519, _111521] : [231 ^ _104392 : [(232 ^ _104392) ^ [] : [-(sdtasdt0(_111521, sdtpldt0(_111519, _111517)) = sdtpldt0(sdtasdt0(_111521, _111519), sdtasdt0(_111521, _111517)))], (234 ^ _104392) ^ [] : [-(sdtasdt0(sdtpldt0(_111519, _111517), _111521) = sdtpldt0(sdtasdt0(_111519, _111521), sdtasdt0(_111517, _111521)))]], aNaturalNumber0(_111521), aNaturalNumber0(_111519), aNaturalNumber0(_111517)], (673 ^ _104392) ^ [] : [-(xm = sdtasdt0(xl, 669 ^ []))], (124 ^ _104392) ^ [] : [-(aNaturalNumber0(sz10))], (699 ^ _104392) ^ [] : [-(aNaturalNumber0(697 ^ []))], (559 ^ _104392) ^ [_121573, _121575] : [aNaturalNumber0(_121575), aNaturalNumber0(_121573), 566 ^ _104392 : [(567 ^ _104392) ^ [] : [doDivides0(_121575, _121573), 571 ^ _104392 : [(572 ^ _104392) ^ [] : [-(aNaturalNumber0(570 ^ [_121573, _121575]))], (574 ^ _104392) ^ [] : [-(_121573 = sdtasdt0(_121575, 570 ^ [_121573, _121575]))]]], (576 ^ _104392) ^ [] : [-(doDivides0(_121575, _121573)), 577 ^ _104392 : [(578 ^ _104392) ^ [_122133] : [aNaturalNumber0(_122133), _121573 = sdtasdt0(_121575, _122133)]]]]], (377 ^ _104392) ^ [_116336, _116338] : [aNaturalNumber0(_116338), aNaturalNumber0(_116336), -(_116338 = _116336), sdtlseqdt0(_116338, _116336), sdtlseqdt0(_116336, _116338)], (675 ^ _104392) ^ [] : [-(doDivides0(xl, xm))], (509 ^ _104392) ^ [_120240, _120242] : [aNaturalNumber0(_120242), aNaturalNumber0(_120240), -(_120242 = sz00), -(sdtlseqdt0(_120240, sdtasdt0(_120240, _120242)))], (10 ^ _104392) ^ [_104827, _104829, _104831] : [-(_104831 = _104827), _104831 = _104829, _104829 = _104827], (586 ^ _104392) ^ [_122416, _122418] : [aNaturalNumber0(_122418), aNaturalNumber0(_122416), -(_122418 = sz00), doDivides0(_122418, _122416), 601 ^ _104392 : [(602 ^ _104392) ^ [_122855] : [_122855 = sdtsldt0(_122416, _122418), 605 ^ _104392 : [(606 ^ _104392) ^ [] : [-(aNaturalNumber0(_122855))], (608 ^ _104392) ^ [] : [-(_122416 = sdtasdt0(_122418, _122855))]]], (610 ^ _104392) ^ [_123114] : [-(_123114 = sdtsldt0(_122416, _122418)), aNaturalNumber0(_123114), _122416 = sdtasdt0(_122418, _123114)]]], (72 ^ _104392) ^ [_106787, _106789, _106791, _106793] : [-(sdtmndt0(_106793, _106789) = sdtmndt0(_106791, _106787)), _106793 = _106791, _106789 = _106787], (433 ^ _104392) ^ [_117874, _117876] : [aNaturalNumber0(_117876), aNaturalNumber0(_117874), -(_117876 = _117874), sdtlseqdt0(_117876, _117874), 448 ^ _104392 : [(449 ^ _104392) ^ [_118318] : [aNaturalNumber0(_118318), 452 ^ _104392 : [(453 ^ _104392) ^ [] : [sdtpldt0(_118318, _117876) = sdtpldt0(_118318, _117874)], (459 ^ _104392) ^ [] : [-(sdtlseqdt0(sdtpldt0(_117876, _118318), sdtpldt0(_117874, _118318)))], (457 ^ _104392) ^ [] : [sdtpldt0(_117876, _118318) = sdtpldt0(_117874, _118318)], (455 ^ _104392) ^ [] : [-(sdtlseqdt0(sdtpldt0(_118318, _117876), sdtpldt0(_118318, _117874)))]]]]], (341 ^ _104392) ^ [_115206, _115208] : [aNaturalNumber0(_115208), aNaturalNumber0(_115206), sdtlseqdt0(_115208, _115206), 352 ^ _104392 : [(353 ^ _104392) ^ [_115553] : [_115553 = sdtmndt0(_115206, _115208), 356 ^ _104392 : [(357 ^ _104392) ^ [] : [-(aNaturalNumber0(_115553))], (359 ^ _104392) ^ [] : [-(sdtpldt0(_115208, _115553) = _115206)]]], (361 ^ _104392) ^ [_115812] : [-(_115812 = sdtmndt0(_115206, _115208)), aNaturalNumber0(_115812), sdtpldt0(_115208, _115812) = _115206]]], (620 ^ _104392) ^ [_123466, _123468, _123470] : [aNaturalNumber0(_123470), aNaturalNumber0(_123468), aNaturalNumber0(_123466), -(doDivides0(_123470, _123466)), doDivides0(_123470, _123468), doDivides0(_123468, _123466)], (694 ^ _104392) ^ [] : [-(sdtpldt0(xm, xn) = sdtasdt0(xl, xq))], (236 ^ _104392) ^ [_112064, _112066, _112068] : [249 ^ _104392 : [(250 ^ _104392) ^ [] : [sdtpldt0(_112068, _112066) = sdtpldt0(_112068, _112064)], (252 ^ _104392) ^ [] : [sdtpldt0(_112066, _112068) = sdtpldt0(_112064, _112068)]], -(_112066 = _112064), aNaturalNumber0(_112068), aNaturalNumber0(_112066), aNaturalNumber0(_112064)], (703 ^ _104392) ^ [] : [-(sdtlseqdt0(xm, sdtpldt0(xm, xn)))], (148 ^ _104392) ^ [_109202, _109204] : [-(sdtpldt0(_109204, _109202) = sdtpldt0(_109202, _109204)), aNaturalNumber0(_109204), aNaturalNumber0(_109202)], (690 ^ _104392) ^ [] : [-(xp = sdtsldt0(xm, xl))], (82 ^ _104392) ^ [_107146, _107148, _107150, _107152] : [-(sdtasdt0(_107152, _107148) = sdtasdt0(_107150, _107146)), _107152 = _107150, _107148 = _107146], (212 ^ _104392) ^ [_111216] : [aNaturalNumber0(_111216), 215 ^ _104392 : [(216 ^ _104392) ^ [] : [-(sdtasdt0(_111216, sz00) = sz00)], (218 ^ _104392) ^ [] : [-(sz00 = sdtasdt0(sz00, _111216))]]], (680 ^ _104392) ^ [] : [-(sdtpldt0(xm, xn) = sdtasdt0(xl, 676 ^ []))], (4 ^ _104392) ^ [_104623, _104625] : [_104625 = _104623, -(_104623 = _104625)], (678 ^ _104392) ^ [] : [-(aNaturalNumber0(676 ^ []))], (280 ^ _104392) ^ [_113414, _113416] : [aNaturalNumber0(_113416), aNaturalNumber0(_113414), sdtpldt0(_113416, _113414) = sz00, 291 ^ _104392 : [(292 ^ _104392) ^ [] : [-(_113416 = sz00)], (294 ^ _104392) ^ [] : [-(_113414 = sz00)]]], (256 ^ _104392) ^ [_112641] : [aNaturalNumber0(_112641), -(_112641 = sz00), 263 ^ _104392 : [(264 ^ _104392) ^ [_112903, _112905] : [aNaturalNumber0(_112905), aNaturalNumber0(_112903), 273 ^ _104392 : [(274 ^ _104392) ^ [] : [sdtasdt0(_112641, _112905) = sdtasdt0(_112641, _112903)], (276 ^ _104392) ^ [] : [sdtasdt0(_112905, _112641) = sdtasdt0(_112903, _112641)]], -(_112905 = _112903)]]], (684 ^ _104392) ^ [] : [xl = sz00], (190 ^ _104392) ^ [_110537, _110539, _110541] : [-(sdtasdt0(sdtasdt0(_110541, _110539), _110537) = sdtasdt0(_110541, sdtasdt0(_110539, _110537))), aNaturalNumber0(_110541), aNaturalNumber0(_110539), aNaturalNumber0(_110537)], (417 ^ _104392) ^ [_117411, _117413] : [aNaturalNumber0(_117413), aNaturalNumber0(_117411), -(sdtlseqdt0(_117413, _117411)), 428 ^ _104392 : [(429 ^ _104392) ^ [] : [_117411 = _117413], (431 ^ _104392) ^ [] : [-(sdtlseqdt0(_117411, _117413))]]], (204 ^ _104392) ^ [_110943] : [aNaturalNumber0(_110943), 207 ^ _104392 : [(208 ^ _104392) ^ [] : [-(sdtasdt0(_110943, sz10) = _110943)], (210 ^ _104392) ^ [] : [-(_110943 = sdtasdt0(sz10, _110943))]]], (696 ^ _104392) ^ [] : [-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))]], input).
% 161.72/156.57 ncf('1',plain,[sdtlseqdt0(xp, xq)],start(711 ^ 0)).
% 161.72/156.57 ncf('1.1',plain,[-(sdtlseqdt0(xp, xq)), aNaturalNumber0(xp), aNaturalNumber0(xq), 429 : xq = xp],extension(417 ^ 1,bind([[_117411, _117413], [xq, xp]]))).
% 161.72/156.57 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(686 ^ 2)).
% 161.72/156.57 ncf('1.1.2',plain,[-(aNaturalNumber0(xq))],extension(692 ^ 2)).
% 161.72/156.57 ncf('1.1.3',plain,[-(xq = xp), aNaturalNumber0(xl), aNaturalNumber0(xq), aNaturalNumber0(xp), 485 : sdtasdt0(xl, xq) = sdtasdt0(xl, xp), 485 : -(xl = sz00), 485 : sdtlseqdt0(xq, xp)],extension(461 ^ 4,bind([[_118842, _118844, _118846], [xp, xq, xl]]))).
% 161.72/156.57 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xl))],extension(664 ^ 5)).
% 161.72/156.57 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xq))],lemmata('[1].x')).
% 161.72/156.57 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 161.72/156.57 ncf('1.1.3.4',plain,[-(sdtasdt0(xl, xq) = sdtasdt0(xl, xp)), aNaturalNumber0(sdtasdt0(xl, xq)), aNaturalNumber0(sdtasdt0(xl, xp)), sdtlseqdt0(sdtasdt0(xl, xq), sdtasdt0(xl, xp)), sdtlseqdt0(sdtasdt0(xl, xp), sdtasdt0(xl, xq))],extension(377 ^ 7,bind([[_116336, _116338], [sdtasdt0(xl, xp), sdtasdt0(xl, xq)]]))).
% 161.72/156.57 ncf('1.1.3.4.1',plain,[-(aNaturalNumber0(sdtasdt0(xl, xq))), aNaturalNumber0(xl), aNaturalNumber0(xq)],extension(138 ^ 8,bind([[_108903, _108905], [xq, xl]]))).
% 161.72/156.57 ncf('1.1.3.4.1.1',plain,[-(aNaturalNumber0(xl))],lemmata('[1, 1].x')).
% 161.72/156.57 ncf('1.1.3.4.1.2',plain,[-(aNaturalNumber0(xq))],lemmata('[1, 1].x')).
% 161.72/156.57 ncf('1.1.3.4.2',plain,[-(aNaturalNumber0(sdtasdt0(xl, xp))), xm = sdtasdt0(xl, xp), aNaturalNumber0(xm)],extension(48 ^ 8,bind([[_106028, _106030], [sdtasdt0(xl, xp), xm]]))).
% 161.72/156.57 ncf('1.1.3.4.2.1',plain,[-(xm = sdtasdt0(xl, xp))],extension(688 ^ 9)).
% 161.72/156.57 ncf('1.1.3.4.2.2',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 9)).
% 161.72/156.57 ncf('1.1.3.4.3',plain,[-(sdtlseqdt0(sdtasdt0(xl, xq), sdtasdt0(xl, xp)))],extension(487 ^ 8)).
% 161.72/156.57 ncf('1.1.3.4.4',plain,[-(sdtlseqdt0(sdtasdt0(xl, xp), sdtasdt0(xl, xq))), sdtlseqdt0(xm, sdtpldt0(xm, xn)), xm = sdtasdt0(xl, xp), sdtpldt0(xm, xn) = sdtasdt0(xl, xq)],extension(58 ^ 8,bind([[_106331, _106333, _106335, _106337], [sdtasdt0(xl, xq), sdtpldt0(xm, xn), sdtasdt0(xl, xp), xm]]))).
% 161.72/156.57 ncf('1.1.3.4.4.1',plain,[-(sdtlseqdt0(xm, sdtpldt0(xm, xn)))],extension(703 ^ 9)).
% 161.72/156.57 ncf('1.1.3.4.4.2',plain,[-(xm = sdtasdt0(xl, xp))],extension(688 ^ 9)).
% 161.72/156.57 ncf('1.1.3.4.4.3',plain,[-(sdtpldt0(xm, xn) = sdtasdt0(xl, xq))],extension(694 ^ 9)).
% 161.72/156.57 ncf('1.1.3.5',plain,[xl = sz00, -(xl = xl), sz00 = xl],extension(10 ^ 5,bind([[_104827, _104829, _104831], [xl, sz00, xl]]))).
% 161.72/156.57 ncf('1.1.3.5.1',plain,[xl = xl, -(xl = sz00), xl = sz00],extension(10 ^ 6,bind([[_104827, _104829, _104831], [sz00, xl, xl]]))).
% 161.72/156.57 ncf('1.1.3.5.1.1',plain,[xl = sz00],extension(684 ^ 7)).
% 161.72/156.57 ncf('1.1.3.5.1.2',plain,[-(xl = sz00)],reduction('1.1.3')).
% 161.72/156.57 ncf('1.1.3.5.2',plain,[-(sz00 = xl), xl = sz00],extension(4 ^ 6,bind([[_104623, _104625], [sz00, xl]]))).
% 161.72/156.57 ncf('1.1.3.5.2.1',plain,[-(xl = sz00)],reduction('1.1.3')).
% 161.72/156.57 ncf('1.1.3.6',plain,[-(sdtlseqdt0(xq, xp)), aNaturalNumber0(xq), aNaturalNumber0(xp), 431 : -(sdtlseqdt0(xp, xq))],extension(417 ^ 5,bind([[_117411, _117413], [xp, xq]]))).
% 161.72/156.57 ncf('1.1.3.6.1',plain,[-(aNaturalNumber0(xq))],lemmata('[1, 1].x')).
% 161.72/156.57 ncf('1.1.3.6.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1, 1].x')).
% 161.72/156.57 ncf('1.1.3.6.3',plain,[sdtlseqdt0(xp, xq)],reduction('1')).
% 161.72/156.57 %-----------------------------------------------------
% 161.72/156.57 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------