TSTP Solution File: NUM475+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM475+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 13.39s 13.77s
% Output : Proof 13.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM475+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.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 17:01:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 13.39/13.77
% 13.39/13.77 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 13.39/13.77 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.39/13.77 %-----------------------------------------------------
% 13.39/13.77 ncf(matrix, plain, [(686 ^ _100372) ^ [] : [xn = sdtasdt0(xl, xr)], (72 ^ _100372) ^ [_102787, _102789, _102791, _102793] : [-(sdtsldt0(_102793, _102789) = sdtsldt0(_102791, _102787)), _102793 = _102791, _102789 = _102787], (82 ^ _100372) ^ [_103146, _103148, _103150, _103152] : [-(sdtmndt0(_103152, _103148) = sdtmndt0(_103150, _103146)), _103152 = _103150, _103148 = _103146], (92 ^ _100372) ^ [_103505, _103507, _103509, _103511] : [-(sdtpldt0(_103511, _103507) = sdtpldt0(_103509, _103505)), _103511 = _103509, _103507 = _103505], (102 ^ _100372) ^ [_103844, _103846, _103848, _103850] : [-(sdtasdt0(_103850, _103846) = sdtasdt0(_103848, _103844)), _103850 = _103848, _103846 = _103844], (2 ^ _100372) ^ [_100516] : [-(_100516 = _100516)], (4 ^ _100372) ^ [_100623, _100625] : [_100625 = _100623, -(_100623 = _100625)], (10 ^ _100372) ^ [_100827, _100829, _100831] : [-(_100831 = _100827), _100831 = _100829, _100829 = _100827], (20 ^ _100372) ^ [_101168, _101170, _101172, _101174] : [-(iLess0(_101172, _101168)), iLess0(_101174, _101170), _101174 = _101172, _101170 = _101168], (34 ^ _100372) ^ [_101584, _101586] : [-(aNaturalNumber0(_101584)), _101586 = _101584, aNaturalNumber0(_101586)], (44 ^ _100372) ^ [_101907, _101909, _101911, _101913] : [-(doDivides0(_101911, _101907)), doDivides0(_101913, _101909), _101913 = _101911, _101909 = _101907], (58 ^ _100372) ^ [_102331, _102333, _102335, _102337] : [-(sdtlseqdt0(_102335, _102331)), sdtlseqdt0(_102337, _102333), _102337 = _102335, _102333 = _102331], (112 ^ _100372) ^ [_104175] : [aNaturalNumber0(_104175), true___, -(true___)], (122 ^ _100372) ^ [] : [-(aNaturalNumber0(sz00))], (124 ^ _100372) ^ [] : [-(aNaturalNumber0(sz10))], (126 ^ _100372) ^ [] : [sz10 = sz00], (128 ^ _100372) ^ [_104604, _104606] : [-(aNaturalNumber0(sdtpldt0(_104606, _104604))), aNaturalNumber0(_104606), aNaturalNumber0(_104604)], (138 ^ _100372) ^ [_104903, _104905] : [-(aNaturalNumber0(sdtasdt0(_104905, _104903))), aNaturalNumber0(_104905), aNaturalNumber0(_104903)], (148 ^ _100372) ^ [_105202, _105204] : [-(sdtpldt0(_105204, _105202) = sdtpldt0(_105202, _105204)), aNaturalNumber0(_105204), aNaturalNumber0(_105202)], (158 ^ _100372) ^ [_105523, _105525, _105527] : [-(sdtpldt0(sdtpldt0(_105527, _105525), _105523) = sdtpldt0(_105527, sdtpldt0(_105525, _105523))), aNaturalNumber0(_105527), aNaturalNumber0(_105525), aNaturalNumber0(_105523)], (172 ^ _100372) ^ [_105929] : [aNaturalNumber0(_105929), 175 ^ _100372 : [(176 ^ _100372) ^ [] : [-(sdtpldt0(_105929, sz00) = _105929)], (178 ^ _100372) ^ [] : [-(_105929 = sdtpldt0(sz00, _105929))]]], (180 ^ _100372) ^ [_106216, _106218] : [-(sdtasdt0(_106218, _106216) = sdtasdt0(_106216, _106218)), aNaturalNumber0(_106218), aNaturalNumber0(_106216)], (190 ^ _100372) ^ [_106537, _106539, _106541] : [-(sdtasdt0(sdtasdt0(_106541, _106539), _106537) = sdtasdt0(_106541, sdtasdt0(_106539, _106537))), aNaturalNumber0(_106541), aNaturalNumber0(_106539), aNaturalNumber0(_106537)], (204 ^ _100372) ^ [_106943] : [aNaturalNumber0(_106943), 207 ^ _100372 : [(208 ^ _100372) ^ [] : [-(sdtasdt0(_106943, sz10) = _106943)], (210 ^ _100372) ^ [] : [-(_106943 = sdtasdt0(sz10, _106943))]]], (212 ^ _100372) ^ [_107216] : [aNaturalNumber0(_107216), 215 ^ _100372 : [(216 ^ _100372) ^ [] : [-(sdtasdt0(_107216, sz00) = sz00)], (218 ^ _100372) ^ [] : [-(sz00 = sdtasdt0(sz00, _107216))]]], (220 ^ _100372) ^ [_107517, _107519, _107521] : [231 ^ _100372 : [(232 ^ _100372) ^ [] : [-(sdtasdt0(_107521, sdtpldt0(_107519, _107517)) = sdtpldt0(sdtasdt0(_107521, _107519), sdtasdt0(_107521, _107517)))], (234 ^ _100372) ^ [] : [-(sdtasdt0(sdtpldt0(_107519, _107517), _107521) = sdtpldt0(sdtasdt0(_107519, _107521), sdtasdt0(_107517, _107521)))]], aNaturalNumber0(_107521), aNaturalNumber0(_107519), aNaturalNumber0(_107517)], (236 ^ _100372) ^ [_108064, _108066, _108068] : [249 ^ _100372 : [(250 ^ _100372) ^ [] : [sdtpldt0(_108068, _108066) = sdtpldt0(_108068, _108064)], (252 ^ _100372) ^ [] : [sdtpldt0(_108066, _108068) = sdtpldt0(_108064, _108068)]], -(_108066 = _108064), aNaturalNumber0(_108068), aNaturalNumber0(_108066), aNaturalNumber0(_108064)], (256 ^ _100372) ^ [_108641] : [aNaturalNumber0(_108641), -(_108641 = sz00), 263 ^ _100372 : [(264 ^ _100372) ^ [_108903, _108905] : [aNaturalNumber0(_108905), aNaturalNumber0(_108903), 273 ^ _100372 : [(274 ^ _100372) ^ [] : [sdtasdt0(_108641, _108905) = sdtasdt0(_108641, _108903)], (276 ^ _100372) ^ [] : [sdtasdt0(_108905, _108641) = sdtasdt0(_108903, _108641)]], -(_108905 = _108903)]]], (280 ^ _100372) ^ [_109414, _109416] : [aNaturalNumber0(_109416), aNaturalNumber0(_109414), sdtpldt0(_109416, _109414) = sz00, 291 ^ _100372 : [(292 ^ _100372) ^ [] : [-(_109416 = sz00)], (294 ^ _100372) ^ [] : [-(_109414 = sz00)]]], (296 ^ _100372) ^ [_109881, _109883] : [aNaturalNumber0(_109883), aNaturalNumber0(_109881), sdtasdt0(_109883, _109881) = sz00, -(_109883 = sz00), -(_109881 = sz00)], (314 ^ _100372) ^ [_110363, _110365] : [aNaturalNumber0(_110365), aNaturalNumber0(_110363), 321 ^ _100372 : [(322 ^ _100372) ^ [] : [sdtlseqdt0(_110365, _110363), 326 ^ _100372 : [(327 ^ _100372) ^ [] : [-(aNaturalNumber0(325 ^ [_110363, _110365]))], (329 ^ _100372) ^ [] : [-(sdtpldt0(_110365, 325 ^ [_110363, _110365]) = _110363)]]], (331 ^ _100372) ^ [] : [-(sdtlseqdt0(_110365, _110363)), 332 ^ _100372 : [(333 ^ _100372) ^ [_110923] : [aNaturalNumber0(_110923), sdtpldt0(_110365, _110923) = _110363]]]]], (341 ^ _100372) ^ [_111206, _111208] : [aNaturalNumber0(_111208), aNaturalNumber0(_111206), sdtlseqdt0(_111208, _111206), 352 ^ _100372 : [(353 ^ _100372) ^ [_111553] : [_111553 = sdtmndt0(_111206, _111208), 356 ^ _100372 : [(357 ^ _100372) ^ [] : [-(aNaturalNumber0(_111553))], (359 ^ _100372) ^ [] : [-(sdtpldt0(_111208, _111553) = _111206)]]], (361 ^ _100372) ^ [_111812] : [-(_111812 = sdtmndt0(_111206, _111208)), aNaturalNumber0(_111812), sdtpldt0(_111208, _111812) = _111206]]], (371 ^ _100372) ^ [_112134] : [aNaturalNumber0(_112134), -(sdtlseqdt0(_112134, _112134))], (377 ^ _100372) ^ [_112336, _112338] : [aNaturalNumber0(_112338), aNaturalNumber0(_112336), -(_112338 = _112336), sdtlseqdt0(_112338, _112336), sdtlseqdt0(_112336, _112338)], (395 ^ _100372) ^ [_112825, _112827, _112829] : [aNaturalNumber0(_112829), aNaturalNumber0(_112827), aNaturalNumber0(_112825), -(sdtlseqdt0(_112829, _112825)), sdtlseqdt0(_112829, _112827), sdtlseqdt0(_112827, _112825)], (417 ^ _100372) ^ [_113411, _113413] : [aNaturalNumber0(_113413), aNaturalNumber0(_113411), -(sdtlseqdt0(_113413, _113411)), 428 ^ _100372 : [(429 ^ _100372) ^ [] : [_113411 = _113413], (431 ^ _100372) ^ [] : [-(sdtlseqdt0(_113411, _113413))]]], (433 ^ _100372) ^ [_113874, _113876] : [aNaturalNumber0(_113876), aNaturalNumber0(_113874), -(_113876 = _113874), sdtlseqdt0(_113876, _113874), 448 ^ _100372 : [(449 ^ _100372) ^ [_114318] : [aNaturalNumber0(_114318), 452 ^ _100372 : [(453 ^ _100372) ^ [] : [sdtpldt0(_114318, _113876) = sdtpldt0(_114318, _113874)], (455 ^ _100372) ^ [] : [-(sdtlseqdt0(sdtpldt0(_114318, _113876), sdtpldt0(_114318, _113874)))], (457 ^ _100372) ^ [] : [sdtpldt0(_113876, _114318) = sdtpldt0(_113874, _114318)], (459 ^ _100372) ^ [] : [-(sdtlseqdt0(sdtpldt0(_113876, _114318), sdtpldt0(_113874, _114318)))]]]]], (461 ^ _100372) ^ [_114842, _114844, _114846] : [aNaturalNumber0(_114846), aNaturalNumber0(_114844), aNaturalNumber0(_114842), 484 ^ _100372 : [(485 ^ _100372) ^ [] : [sdtasdt0(_114846, _114844) = sdtasdt0(_114846, _114842)], (487 ^ _100372) ^ [] : [-(sdtlseqdt0(sdtasdt0(_114846, _114844), sdtasdt0(_114846, _114842)))], (489 ^ _100372) ^ [] : [sdtasdt0(_114844, _114846) = sdtasdt0(_114842, _114846)], (491 ^ _100372) ^ [] : [-(sdtlseqdt0(sdtasdt0(_114844, _114846), sdtasdt0(_114842, _114846)))]], -(_114846 = sz00), -(_114844 = _114842), sdtlseqdt0(_114844, _114842)], (493 ^ _100372) ^ [_115792] : [aNaturalNumber0(_115792), -(_115792 = sz00), -(_115792 = sz10), 504 ^ _100372 : [(505 ^ _100372) ^ [] : [sz10 = _115792], (507 ^ _100372) ^ [] : [-(sdtlseqdt0(sz10, _115792))]]], (509 ^ _100372) ^ [_116240, _116242] : [aNaturalNumber0(_116242), aNaturalNumber0(_116240), -(_116242 = sz00), -(sdtlseqdt0(_116240, sdtasdt0(_116240, _116242)))], (523 ^ _100372) ^ [_116635, _116637] : [aNaturalNumber0(_116637), aNaturalNumber0(_116635), iLess0(_116637, _116635), true___, -(true___)], (541 ^ _100372) ^ [_117095, _117097] : [aNaturalNumber0(_117097), aNaturalNumber0(_117095), -(iLess0(_117097, _117095)), -(_117097 = _117095), sdtlseqdt0(_117097, _117095)], (559 ^ _100372) ^ [_117573, _117575] : [aNaturalNumber0(_117575), aNaturalNumber0(_117573), 566 ^ _100372 : [(567 ^ _100372) ^ [] : [doDivides0(_117575, _117573), 571 ^ _100372 : [(572 ^ _100372) ^ [] : [-(aNaturalNumber0(570 ^ [_117573, _117575]))], (574 ^ _100372) ^ [] : [-(_117573 = sdtasdt0(_117575, 570 ^ [_117573, _117575]))]]], (576 ^ _100372) ^ [] : [-(doDivides0(_117575, _117573)), 577 ^ _100372 : [(578 ^ _100372) ^ [_118133] : [aNaturalNumber0(_118133), _117573 = sdtasdt0(_117575, _118133)]]]]], (586 ^ _100372) ^ [_118416, _118418] : [aNaturalNumber0(_118418), aNaturalNumber0(_118416), -(_118418 = sz00), doDivides0(_118418, _118416), 601 ^ _100372 : [(602 ^ _100372) ^ [_118855] : [_118855 = sdtsldt0(_118416, _118418), 605 ^ _100372 : [(606 ^ _100372) ^ [] : [-(aNaturalNumber0(_118855))], (608 ^ _100372) ^ [] : [-(_118416 = sdtasdt0(_118418, _118855))]]], (610 ^ _100372) ^ [_119114] : [-(_119114 = sdtsldt0(_118416, _118418)), aNaturalNumber0(_119114), _118416 = sdtasdt0(_118418, _119114)]]], (620 ^ _100372) ^ [_119466, _119468, _119470] : [aNaturalNumber0(_119470), aNaturalNumber0(_119468), aNaturalNumber0(_119466), -(doDivides0(_119470, _119466)), doDivides0(_119470, _119468), doDivides0(_119468, _119466)], (664 ^ _100372) ^ [] : [-(aNaturalNumber0(xl))], (666 ^ _100372) ^ [] : [-(aNaturalNumber0(xm))], (668 ^ _100372) ^ [] : [-(aNaturalNumber0(xn))], (670 ^ _100372) ^ [] : [-(doDivides0(xl, xm))], (672 ^ _100372) ^ [] : [-(doDivides0(xl, sdtpldt0(xm, xn)))], (674 ^ _100372) ^ [] : [xl = sz00], (676 ^ _100372) ^ [] : [-(xp = sdtsldt0(xm, xl))], (678 ^ _100372) ^ [] : [-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))], (680 ^ _100372) ^ [] : [-(sdtlseqdt0(xp, xq))], (682 ^ _100372) ^ [] : [-(xr = sdtmndt0(xq, xp))], (684 ^ _100372) ^ [] : [-(sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)) = sdtpldt0(sdtasdt0(xl, xp), xn))], (642 ^ _100372) ^ [_120066, _120068, _120070] : [aNaturalNumber0(_120070), aNaturalNumber0(_120068), aNaturalNumber0(_120066), -(doDivides0(_120070, sdtpldt0(_120068, _120066))), doDivides0(_120070, _120068), doDivides0(_120070, _120066)]], input).
% 13.39/13.77 ncf('1',plain,[xn = sdtasdt0(xl, xr)],start(686 ^ 0)).
% 13.39/13.77 ncf('1.1',plain,[-(xn = sdtasdt0(xl, xr)), 250 : sdtpldt0(sdtasdt0(xl, xp), xn) = sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)), 250 : aNaturalNumber0(sdtasdt0(xl, xp)), 250 : aNaturalNumber0(xn), 250 : aNaturalNumber0(sdtasdt0(xl, xr))],extension(236 ^ 1,bind([[_108064, _108066, _108068], [sdtasdt0(xl, xr), xn, sdtasdt0(xl, xp)]]))).
% 13.39/13.77 ncf('1.1.1',plain,[-(sdtpldt0(sdtasdt0(xl, xp), xn) = sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr))), sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)) = sdtpldt0(sdtasdt0(xl, xp), xn)],extension(4 ^ 4,bind([[_100623, _100625], [sdtpldt0(sdtasdt0(xl, xp), xn), sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr))]]))).
% 13.39/13.77 ncf('1.1.1.1',plain,[-(sdtpldt0(sdtasdt0(xl, xp), sdtasdt0(xl, xr)) = sdtpldt0(sdtasdt0(xl, xp), xn))],extension(684 ^ 5)).
% 13.39/13.77 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtasdt0(xl, xp))), aNaturalNumber0(xl), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_104903, _104905], [xp, xl]]))).
% 13.39/13.77 ncf('1.1.2.1',plain,[-(aNaturalNumber0(xl))],extension(664 ^ 3)).
% 13.39/13.77 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp)), 602 : xp = sdtsldt0(xm, xl), 602 : aNaturalNumber0(xl), 602 : aNaturalNumber0(xm), 602 : -(xl = sz00), 602 : doDivides0(xl, xm)],extension(586 ^ 3,bind([[_118416, _118418, _118855], [xm, xl, xp]]))).
% 13.39/13.77 ncf('1.1.2.2.1',plain,[-(xp = sdtsldt0(xm, xl))],extension(676 ^ 6)).
% 13.39/13.77 ncf('1.1.2.2.2',plain,[-(aNaturalNumber0(xl))],lemmata('[1, 1].x')).
% 13.39/13.77 ncf('1.1.2.2.3',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 4)).
% 13.39/13.77 ncf('1.1.2.2.4',plain,[xl = sz00, -(xl = xl), sz00 = xl],extension(10 ^ 4,bind([[_100827, _100829, _100831], [xl, sz00, xl]]))).
% 13.39/13.77 ncf('1.1.2.2.4.1',plain,[xl = xl, -(xl = sz00), xl = sz00],extension(10 ^ 5,bind([[_100827, _100829, _100831], [sz00, xl, xl]]))).
% 13.39/13.77 ncf('1.1.2.2.4.1.1',plain,[xl = sz00],extension(674 ^ 6)).
% 13.39/13.77 ncf('1.1.2.2.4.1.2',plain,[-(xl = sz00)],reduction('1.1.2.2')).
% 13.39/13.77 ncf('1.1.2.2.4.2',plain,[-(sz00 = xl), xl = sz00],extension(4 ^ 5,bind([[_100623, _100625], [sz00, xl]]))).
% 13.39/13.77 ncf('1.1.2.2.4.2.1',plain,[-(xl = sz00)],reduction('1.1.2.2')).
% 13.39/13.77 ncf('1.1.2.2.5',plain,[-(doDivides0(xl, xm)), doDivides0(xl, xm), xl = xl, xm = xm],extension(44 ^ 4,bind([[_101907, _101909, _101911, _101913], [xm, xm, xl, xl]]))).
% 13.39/13.77 ncf('1.1.2.2.5.1',plain,[-(doDivides0(xl, xm))],extension(670 ^ 5)).
% 13.39/13.77 ncf('1.1.2.2.5.2',plain,[-(xl = xl)],extension(2 ^ 5,bind([[_100516], [xl]]))).
% 13.39/13.77 ncf('1.1.2.2.5.3',plain,[-(xm = xm)],extension(2 ^ 5,bind([[_100516], [xm]]))).
% 13.39/13.77 ncf('1.1.3',plain,[-(aNaturalNumber0(xn))],extension(668 ^ 2)).
% 13.39/13.77 ncf('1.1.4',plain,[-(aNaturalNumber0(sdtasdt0(xl, xr))), aNaturalNumber0(xl), aNaturalNumber0(xr)],extension(138 ^ 2,bind([[_104903, _104905], [xr, xl]]))).
% 13.39/13.77 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xl))],extension(664 ^ 3)).
% 13.39/13.77 ncf('1.1.4.2',plain,[-(aNaturalNumber0(xr)), 353 : xr = sdtmndt0(xq, xp), 353 : aNaturalNumber0(xp), 353 : aNaturalNumber0(xq), 353 : sdtlseqdt0(xp, xq)],extension(341 ^ 3,bind([[_111206, _111208, _111553], [xq, xp, xr]]))).
% 13.39/13.77 ncf('1.1.4.2.1',plain,[-(xr = sdtmndt0(xq, xp))],extension(682 ^ 6)).
% 13.39/13.77 ncf('1.1.4.2.2',plain,[-(aNaturalNumber0(xp)), 602 : xp = sdtsldt0(xm, xl), 602 : aNaturalNumber0(xl), 602 : aNaturalNumber0(xm), 602 : -(xl = sz00), 602 : doDivides0(xl, xm)],extension(586 ^ 4,bind([[_118416, _118418, _118855], [xm, xl, xp]]))).
% 13.39/13.77 ncf('1.1.4.2.2.1',plain,[-(xp = sdtsldt0(xm, xl))],extension(676 ^ 7)).
% 13.39/13.77 ncf('1.1.4.2.2.2',plain,[-(aNaturalNumber0(xl))],lemmata('[1, 1].x')).
% 13.39/13.77 ncf('1.1.4.2.2.3',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 5)).
% 13.39/13.77 ncf('1.1.4.2.2.4',plain,[xl = sz00],extension(674 ^ 5)).
% 13.39/13.77 ncf('1.1.4.2.2.5',plain,[-(doDivides0(xl, xm))],extension(670 ^ 5)).
% 13.39/13.77 ncf('1.1.4.2.3',plain,[-(aNaturalNumber0(xq)), 602 : xq = sdtsldt0(sdtpldt0(xm, xn), xl), 602 : aNaturalNumber0(xl), 602 : aNaturalNumber0(sdtpldt0(xm, xn)), 602 : -(xl = sz00), 602 : doDivides0(xl, sdtpldt0(xm, xn))],extension(586 ^ 4,bind([[_118416, _118418, _118855], [sdtpldt0(xm, xn), xl, xq]]))).
% 13.39/13.77 ncf('1.1.4.2.3.1',plain,[-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))],extension(678 ^ 7)).
% 13.39/13.77 ncf('1.1.4.2.3.2',plain,[-(aNaturalNumber0(xl))],lemmata('[1, 1].x')).
% 13.39/13.77 ncf('1.1.4.2.3.3',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(128 ^ 5,bind([[_104604, _104606], [xn, xm]]))).
% 13.39/13.77 ncf('1.1.4.2.3.3.1',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 6)).
% 13.39/13.77 ncf('1.1.4.2.3.3.2',plain,[-(aNaturalNumber0(xn))],lemmata('[1].x')).
% 13.39/13.77 ncf('1.1.4.2.3.4',plain,[xl = sz00],extension(674 ^ 5)).
% 13.39/13.77 ncf('1.1.4.2.3.5',plain,[-(doDivides0(xl, sdtpldt0(xm, xn)))],extension(672 ^ 5)).
% 13.39/13.77 ncf('1.1.4.2.4',plain,[-(sdtlseqdt0(xp, xq)), sdtlseqdt0(sdtsldt0(xm, xl), sdtsldt0(sdtpldt0(xm, xn), xl)), sdtsldt0(xm, xl) = xp, sdtsldt0(sdtpldt0(xm, xn), xl) = xq],extension(58 ^ 4,bind([[_102331, _102333, _102335, _102337], [xq, sdtsldt0(sdtpldt0(xm, xn), xl), xp, sdtsldt0(xm, xl)]]))).
% 13.39/13.77 ncf('1.1.4.2.4.1',plain,[-(sdtlseqdt0(sdtsldt0(xm, xl), sdtsldt0(sdtpldt0(xm, xn), xl))), sdtlseqdt0(xp, xq), xp = sdtsldt0(xm, xl), xq = sdtsldt0(sdtpldt0(xm, xn), xl)],extension(58 ^ 5,bind([[_102331, _102333, _102335, _102337], [sdtsldt0(sdtpldt0(xm, xn), xl), xq, sdtsldt0(xm, xl), xp]]))).
% 13.39/13.77 ncf('1.1.4.2.4.1.1',plain,[-(sdtlseqdt0(xp, xq))],extension(680 ^ 6)).
% 13.39/13.77 ncf('1.1.4.2.4.1.2',plain,[-(xp = sdtsldt0(xm, xl))],extension(676 ^ 6)).
% 13.39/13.77 ncf('1.1.4.2.4.1.3',plain,[-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))],extension(678 ^ 6)).
% 13.39/13.77 ncf('1.1.4.2.4.2',plain,[-(sdtsldt0(xm, xl) = xp), xp = sdtsldt0(xm, xl)],extension(4 ^ 5,bind([[_100623, _100625], [sdtsldt0(xm, xl), xp]]))).
% 13.39/13.77 ncf('1.1.4.2.4.2.1',plain,[-(xp = sdtsldt0(xm, xl))],extension(676 ^ 6)).
% 13.39/13.77 ncf('1.1.4.2.4.3',plain,[-(sdtsldt0(sdtpldt0(xm, xn), xl) = xq), xq = sdtsldt0(sdtpldt0(xm, xn), xl)],extension(4 ^ 5,bind([[_100623, _100625], [sdtsldt0(sdtpldt0(xm, xn), xl), xq]]))).
% 13.39/13.77 ncf('1.1.4.2.4.3.1',plain,[-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))],extension(678 ^ 6)).
% 13.39/13.77 %-----------------------------------------------------
% 13.39/13.77 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------