TSTP Solution File: NUM430+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM430+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 11:44:36 EDT 2023
% Result : Theorem 170.35s 165.04s
% Output : Proof 170.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM430+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 17:40:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 170.35/165.04
% 170.35/165.04 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 170.35/165.04 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 170.35/165.04 %-----------------------------------------------------
% 170.35/165.04 ncf(matrix, plain, [(367 ^ _85871) ^ [_85916] : [aInteger0(_85916), sdtasdt0(xq, _85916) = sdtpldt0(xb, smndt0(xc))], !, (160 ^ _74317) ^ [_79478] : [aInteger0(_79478), 163 ^ _74317 : [(164 ^ _74317) ^ [] : [-(sdtpldt0(_79478, smndt0(_79478)) = sz00)], (166 ^ _74317) ^ [] : [-(sz00 = sdtpldt0(smndt0(_79478), _79478))]]], (250 ^ _74317) ^ [_82356] : [aInteger0(_82356), 253 ^ _74317 : [(254 ^ _74317) ^ [_82542] : [aDivisorOf0(_82542, _82356), 257 ^ _74317 : [(258 ^ _74317) ^ [] : [-(aInteger0(_82542))], (265 ^ _74317) ^ [] : [-(sdtasdt0(_82542, 261 ^ [_82356, _82542]) = _82356)], (263 ^ _74317) ^ [] : [-(aInteger0(261 ^ [_82356, _82542]))], (260 ^ _74317) ^ [] : [_82542 = sz00]]], (267 ^ _74317) ^ [_83004] : [-(aDivisorOf0(_83004, _82356)), aInteger0(_83004), -(_83004 = sz00), 276 ^ _74317 : [(277 ^ _74317) ^ [_83271] : [aInteger0(_83271), sdtasdt0(_83004, _83271) = _82356]]]]], (224 ^ _74317) ^ [_81593] : [aInteger0(_81593), 227 ^ _74317 : [(228 ^ _74317) ^ [] : [-(sdtasdt0(smndt0(sz10), _81593) = smndt0(_81593))], (230 ^ _74317) ^ [] : [-(smndt0(_81593) = sdtasdt0(_81593, smndt0(sz10)))]]], (200 ^ _74317) ^ [_80801, _80803, _80805] : [211 ^ _74317 : [(212 ^ _74317) ^ [] : [-(sdtasdt0(_80805, sdtpldt0(_80803, _80801)) = sdtpldt0(sdtasdt0(_80805, _80803), sdtasdt0(_80805, _80801)))], (214 ^ _74317) ^ [] : [-(sdtasdt0(sdtpldt0(_80805, _80803), _80801) = sdtpldt0(sdtasdt0(_80805, _80801), sdtasdt0(_80803, _80801)))]], aInteger0(_80805), aInteger0(_80803), aInteger0(_80801)], (357 ^ _74317) ^ [] : [-(aInteger0(xc))], (88 ^ _74317) ^ [_77315] : [aInteger0(_77315), true___, -(true___)], (2 ^ _74317) ^ [_74441] : [-(_74441 = _74441)], (128 ^ _74317) ^ [_78492, _78494, _78496] : [-(sdtpldt0(_78496, sdtpldt0(_78494, _78492)) = sdtpldt0(sdtpldt0(_78496, _78494), _78492)), aInteger0(_78496), aInteger0(_78494), aInteger0(_78492)], (98 ^ _74317) ^ [] : [-(aInteger0(sz00))], (102 ^ _74317) ^ [_77676] : [aInteger0(_77676), -(aInteger0(smndt0(_77676)))], (100 ^ _74317) ^ [] : [-(aInteger0(sz10))], (351 ^ _74317) ^ [] : [-(aInteger0(xb))], (52 ^ _74317) ^ [_76098, _76100] : [-(aInteger0(_76098)), _76100 = _76098, aInteger0(_76100)], (72 ^ _74317) ^ [_76790, _76792, _76794, _76796] : [-(sdtpldt0(_76796, _76792) = sdtpldt0(_76794, _76790)), _76796 = _76794, _76792 = _76790], (192 ^ _74317) ^ [_80500] : [aInteger0(_80500), 195 ^ _74317 : [(196 ^ _74317) ^ [] : [-(sdtasdt0(_80500, sz10) = _80500)], (198 ^ _74317) ^ [] : [-(_80500 = sdtasdt0(sz10, _80500))]]], (168 ^ _74317) ^ [_79787, _79789, _79791] : [-(sdtasdt0(_79791, sdtasdt0(_79789, _79787)) = sdtasdt0(sdtasdt0(_79791, _79789), _79787)), aInteger0(_79791), aInteger0(_79789), aInteger0(_79787)], (363 ^ _74317) ^ [] : [-(aInteger0(xn))], (327 ^ _74317) ^ [_84753, _84755, _84757] : [sdteqdtlpzmzozddtrp0(_84757, _84755, _84753), -(sdteqdtlpzmzozddtrp0(_84755, _84757, _84753)), aInteger0(_84757), aInteger0(_84755), aInteger0(_84753), -(_84753 = sz00)], (285 ^ _74317) ^ [_83574, _83576, _83578] : [aInteger0(_83578), aInteger0(_83576), aInteger0(_83574), -(_83574 = sz00), 300 ^ _74317 : [(301 ^ _74317) ^ [] : [sdteqdtlpzmzozddtrp0(_83578, _83576, _83574), -(aDivisorOf0(_83574, sdtpldt0(_83578, smndt0(_83576))))], (307 ^ _74317) ^ [] : [aDivisorOf0(_83574, sdtpldt0(_83578, smndt0(_83576))), -(sdteqdtlpzmzozddtrp0(_83578, _83576, _83574))]]], (216 ^ _74317) ^ [_81320] : [aInteger0(_81320), 219 ^ _74317 : [(220 ^ _74317) ^ [] : [-(sdtasdt0(_81320, sz00) = sz00)], (222 ^ _74317) ^ [] : [-(sz00 = sdtasdt0(sz00, _81320))]]], (10 ^ _74317) ^ [_74752, _74754, _74756] : [-(_74756 = _74752), _74756 = _74754, _74754 = _74752], (152 ^ _74317) ^ [_79205] : [aInteger0(_79205), 155 ^ _74317 : [(156 ^ _74317) ^ [] : [-(sdtpldt0(_79205, sz00) = _79205)], (158 ^ _74317) ^ [] : [-(_79205 = sdtpldt0(sz00, _79205))]]], (349 ^ _74317) ^ [] : [-(aInteger0(xa))], (82 ^ _74317) ^ [_77101, _77103] : [_77103 = _77101, -(smndt0(_77103) = smndt0(_77101))], (20 ^ _74317) ^ [_75093, _75095, _75097, _75099] : [-(aDivisorOf0(_75097, _75093)), aDivisorOf0(_75099, _75095), _75099 = _75097, _75095 = _75093], (182 ^ _74317) ^ [_80207, _80209] : [-(sdtasdt0(_80209, _80207) = sdtasdt0(_80207, _80209)), aInteger0(_80209), aInteger0(_80207)], (353 ^ _74317) ^ [] : [-(aInteger0(xq))], (62 ^ _74317) ^ [_76431, _76433, _76435, _76437] : [-(sdtasdt0(_76437, _76433) = sdtasdt0(_76435, _76431)), _76437 = _76435, _76433 = _76431], (365 ^ _74317) ^ [] : [-(sdtasdt0(xq, xn) = sdtpldt0(xa, smndt0(xb)))], (232 ^ _74317) ^ [_81888, _81890] : [aInteger0(_81890), aInteger0(_81888), sdtasdt0(_81890, _81888) = sz00, -(_81890 = sz00), -(_81888 = sz00)], (355 ^ _74317) ^ [] : [xq = sz00], (118 ^ _74317) ^ [_78179, _78181] : [-(aInteger0(sdtasdt0(_78181, _78179))), aInteger0(_78181), aInteger0(_78179)], (361 ^ _74317) ^ [] : [-(sdteqdtlpzmzozddtrp0(xb, xc, xq))], (359 ^ _74317) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, xq))], (142 ^ _74317) ^ [_78912, _78914] : [-(sdtpldt0(_78914, _78912) = sdtpldt0(_78912, _78914)), aInteger0(_78914), aInteger0(_78912)], (313 ^ _74317) ^ [_84350, _84352] : [-(sdteqdtlpzmzozddtrp0(_84352, _84352, _84350)), aInteger0(_84352), aInteger0(_84350), -(_84350 = sz00)], (4 ^ _74317) ^ [_74548, _74550] : [_74550 = _74548, -(_74548 = _74550)], (108 ^ _74317) ^ [_77880, _77882] : [-(aInteger0(sdtpldt0(_77882, _77880))), aInteger0(_77882), aInteger0(_77880)], (34 ^ _74317) ^ [_75565, _75567, _75569, _75571, _75573, _75575] : [-(sdteqdtlpzmzozddtrp0(_75573, _75569, _75565)), sdteqdtlpzmzozddtrp0(_75575, _75571, _75567), _75575 = _75573, _75571 = _75569, _75567 = _75565]], input).
% 170.35/165.04 ncf('1',plain,[aInteger0(261 ^ [sdtpldt0(xb, smndt0(xc)), xq]), sdtasdt0(xq, 261 ^ [sdtpldt0(xb, smndt0(xc)), xq]) = sdtpldt0(xb, smndt0(xc))],start(367 ^ 0,bind([[_85916], [261 ^ [sdtpldt0(xb, smndt0(xc)), xq]]]))).
% 170.35/165.04 ncf('1.1',plain,[-(aInteger0(261 ^ [sdtpldt0(xb, smndt0(xc)), xq])), 254 : aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc))), 254 : aInteger0(sdtpldt0(xb, smndt0(xc)))],extension(250 ^ 1,bind([[_82356, _82542], [sdtpldt0(xb, smndt0(xc)), xq]]))).
% 170.35/165.04 ncf('1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc)))), 301 : sdteqdtlpzmzozddtrp0(xb, xc, xq), 301 : aInteger0(xb), 301 : aInteger0(xc), 301 : aInteger0(xq), 301 : -(xq = sz00)],extension(285 ^ 4,bind([[_83574, _83576, _83578], [xq, xc, xb]]))).
% 170.35/165.04 ncf('1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xb, xc, xq)), sdteqdtlpzmzozddtrp0(xc, xb, xq), aInteger0(xc), aInteger0(xb), aInteger0(xq), -(xq = sz00)],extension(327 ^ 7,bind([[_84753, _84755, _84757], [xq, xb, xc]]))).
% 170.35/165.04 ncf('1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xc, xb, xq)), 307 : aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb))), 307 : aInteger0(xc), 307 : aInteger0(xb), 307 : aInteger0(xq), 307 : -(xq = sz00)],extension(285 ^ 8,bind([[_83574, _83576, _83578], [xq, xb, xc]]))).
% 170.35/165.04 ncf('1.1.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb))), xq = xq, sdtpldt0(xc, smndt0(xb)) = sdtpldt0(xc, smndt0(xb))],extension(20 ^ 11,bind([[_75093, _75095, _75097, _75099], [sdtpldt0(xc, smndt0(xb)), sdtpldt0(xc, smndt0(xb)), xq, xq]]))).
% 170.35/165.04 ncf('1.1.1.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb)))), 301 : sdteqdtlpzmzozddtrp0(xc, xb, xq), 301 : aInteger0(xc), 301 : aInteger0(xb), 301 : aInteger0(xq), 301 : -(xq = sz00)],extension(285 ^ 12,bind([[_83574, _83576, _83578], [xq, xb, xc]]))).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xc, xb, xq)), sdteqdtlpzmzozddtrp0(xb, xc, xq), aInteger0(xb), aInteger0(xc), aInteger0(xq), -(xq = sz00)],extension(327 ^ 15,bind([[_84753, _84755, _84757], [xq, xc, xb]]))).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xb, xc, xq))],extension(361 ^ 16)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.1.2',plain,[-(aInteger0(xb))],extension(351 ^ 16)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.1.3',plain,[-(aInteger0(xc))],extension(357 ^ 16)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 16)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.1.5',plain,[xq = sz00],extension(355 ^ 16)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.2',plain,[-(aInteger0(xc))],extension(357 ^ 13)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 13)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 13)).
% 170.35/165.04 ncf('1.1.1.1.1.1.1.5',plain,[xq = sz00],extension(355 ^ 13)).
% 170.35/165.04 ncf('1.1.1.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 12,bind([[_74441], [xq]]))).
% 170.35/165.04 ncf('1.1.1.1.1.1.3',plain,[-(sdtpldt0(xc, smndt0(xb)) = sdtpldt0(xc, smndt0(xb)))],extension(2 ^ 12,bind([[_74441], [sdtpldt0(xc, smndt0(xb))]]))).
% 170.35/165.04 ncf('1.1.1.1.1.2',plain,[-(aInteger0(xc))],extension(357 ^ 9)).
% 170.35/165.04 ncf('1.1.1.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 9)).
% 170.35/165.04 ncf('1.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 9)).
% 170.35/165.04 ncf('1.1.1.1.1.5',plain,[xq = sz00, -(aInteger0(sz00)), aInteger0(xq)],extension(52 ^ 9,bind([[_76098, _76100], [sz00, xq]]))).
% 170.35/165.04 ncf('1.1.1.1.1.5.1',plain,[aInteger0(sz00), aInteger0(sz00), sdtasdt0(sz00, sz00) = sz00, -(sz00 = sz00), -(sz00 = sz00)],extension(232 ^ 10,bind([[_81888, _81890], [sz00, sz00]]))).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.1',plain,[-(aInteger0(sz00))],reduction('1.1.1.1.1.5')).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.2',plain,[-(sdtasdt0(sz00, sz00) = sz00), aInteger0(sz00)],extension(216 ^ 11,bind([[_81320], [sz00]]))).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.2.1',plain,[-(aInteger0(sz00))],lemmata('[5, 1, 1, 1, 1, 1].x')).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.3',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 11,bind([[_74752, _74754, _74756], [sz00, sz00, xq]]))).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.3.1',plain,[xq = sz00],extension(355 ^ 12)).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.3.2',plain,[-(xq = sz00)],reduction('1.1.1.1.1')).
% 170.35/165.04 ncf('1.1.1.1.1.5.1.4',plain,[sz00 = sz00],lemmata('[5, 1, 1, 1, 1, 1].x')).
% 170.35/165.04 ncf('1.1.1.1.1.5.2',plain,[-(aInteger0(xq))],lemmata('[1, 1, 1, 1].x')).
% 170.35/165.04 ncf('1.1.1.1.2',plain,[-(aInteger0(xc))],extension(357 ^ 8)).
% 170.35/165.04 ncf('1.1.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 8)).
% 170.35/165.04 ncf('1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 8)).
% 170.35/165.04 ncf('1.1.1.1.5',plain,[xq = sz00, -(aInteger0(sz00)), aInteger0(xq)],extension(52 ^ 8,bind([[_76098, _76100], [sz00, xq]]))).
% 170.35/165.04 ncf('1.1.1.1.5.1',plain,[aInteger0(sz00), 164 : -(sdtpldt0(sz00, smndt0(sz00)) = sz00)],extension(160 ^ 9,bind([[_79478], [sz00]]))).
% 170.35/165.04 ncf('1.1.1.1.5.1.1',plain,[sdtpldt0(sz00, smndt0(sz00)) = sz00, -(sz00 = sz00), sz00 = sdtpldt0(sz00, smndt0(sz00))],extension(10 ^ 12,bind([[_74752, _74754, _74756], [sz00, sdtpldt0(sz00, smndt0(sz00)), sz00]]))).
% 170.35/165.04 ncf('1.1.1.1.5.1.1.1',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 13,bind([[_74752, _74754, _74756], [sz00, sz00, xq]]))).
% 170.35/165.04 ncf('1.1.1.1.5.1.1.1.1',plain,[xq = sz00],extension(355 ^ 14)).
% 170.35/165.04 ncf('1.1.1.1.5.1.1.1.2',plain,[-(xq = sz00)],reduction('1.1.1.1')).
% 170.35/165.04 ncf('1.1.1.1.5.1.1.2',plain,[-(sz00 = sdtpldt0(sz00, smndt0(sz00))), sdtpldt0(sz00, smndt0(sz00)) = sz00],extension(4 ^ 13,bind([[_74548, _74550], [sz00, sdtpldt0(sz00, smndt0(sz00))]]))).
% 170.35/165.04 ncf('1.1.1.1.5.1.1.2.1',plain,[-(sdtpldt0(sz00, smndt0(sz00)) = sz00)],reduction('1.1.1.1.5.1')).
% 170.35/165.04 ncf('1.1.1.1.5.2',plain,[-(aInteger0(xq))],lemmata('[1, 1, 1].x')).
% 170.35/165.04 ncf('1.1.1.2',plain,[-(aInteger0(xb))],extension(351 ^ 5)).
% 170.35/165.04 ncf('1.1.1.3',plain,[-(aInteger0(xc))],extension(357 ^ 5)).
% 170.35/165.04 ncf('1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 5)).
% 170.35/165.04 ncf('1.1.1.5',plain,[xq = sz00, -(aInteger0(sz00)), aInteger0(xq)],extension(52 ^ 5,bind([[_76098, _76100], [sz00, xq]]))).
% 170.35/165.04 ncf('1.1.1.5.1',plain,[aInteger0(sz00), 164 : -(sdtpldt0(sz00, smndt0(sz00)) = sz00)],extension(160 ^ 6,bind([[_79478], [sz00]]))).
% 170.35/165.04 ncf('1.1.1.5.1.1',plain,[sdtpldt0(sz00, smndt0(sz00)) = sz00, -(sdtpldt0(sz00, smndt0(sz00)) = xq), sz00 = xq],extension(10 ^ 9,bind([[_74752, _74754, _74756], [xq, sz00, sdtpldt0(sz00, smndt0(sz00))]]))).
% 170.35/165.04 ncf('1.1.1.5.1.1.1',plain,[sdtpldt0(sz00, smndt0(sz00)) = xq, -(xq = sdtpldt0(sz00, smndt0(sz00)))],extension(4 ^ 10,bind([[_74548, _74550], [xq, sdtpldt0(sz00, smndt0(sz00))]]))).
% 170.35/165.04 ncf('1.1.1.5.1.1.1.1',plain,[xq = sdtpldt0(sz00, smndt0(sz00)), -(xq = sz00), sdtpldt0(sz00, smndt0(sz00)) = sz00],extension(10 ^ 11,bind([[_74752, _74754, _74756], [sz00, sdtpldt0(sz00, smndt0(sz00)), xq]]))).
% 170.35/165.04 ncf('1.1.1.5.1.1.1.1.1',plain,[xq = sz00],extension(355 ^ 12)).
% 170.35/165.04 ncf('1.1.1.5.1.1.1.1.2',plain,[-(sdtpldt0(sz00, smndt0(sz00)) = sz00)],reduction('1.1.1.5.1')).
% 170.35/165.04 ncf('1.1.1.5.1.1.2',plain,[-(sz00 = xq), xq = sz00],extension(4 ^ 10,bind([[_74548, _74550], [sz00, xq]]))).
% 170.35/165.04 ncf('1.1.1.5.1.1.2.1',plain,[-(xq = sz00)],reduction('1.1.1')).
% 170.35/165.04 ncf('1.1.1.5.2',plain,[-(aInteger0(xq))],lemmata('[1, 1].x')).
% 170.35/165.04 ncf('1.1.2',plain,[-(aInteger0(sdtpldt0(xb, smndt0(xc)))), aInteger0(xb), aInteger0(smndt0(xc))],extension(108 ^ 2,bind([[_77880, _77882], [smndt0(xc), xb]]))).
% 170.35/165.04 ncf('1.1.2.1',plain,[-(aInteger0(xb))],extension(351 ^ 3)).
% 170.35/165.04 ncf('1.1.2.2',plain,[-(aInteger0(smndt0(xc))), aInteger0(xc)],extension(102 ^ 3,bind([[_77676], [xc]]))).
% 170.35/165.04 ncf('1.1.2.2.1',plain,[-(aInteger0(xc))],extension(357 ^ 4)).
% 170.35/165.04 ncf('1.2',plain,[-(sdtasdt0(xq, 261 ^ [sdtpldt0(xb, smndt0(xc)), xq]) = sdtpldt0(xb, smndt0(xc))), 254 : aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc))), 254 : aInteger0(sdtpldt0(xb, smndt0(xc)))],extension(250 ^ 1,bind([[_82356, _82542], [sdtpldt0(xb, smndt0(xc)), xq]]))).
% 170.35/165.04 ncf('1.2.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc)))), 301 : sdteqdtlpzmzozddtrp0(xb, xc, xq), 301 : aInteger0(xb), 301 : aInteger0(xc), 301 : aInteger0(xq), 301 : -(xq = sz00)],extension(285 ^ 4,bind([[_83574, _83576, _83578], [xq, xc, xb]]))).
% 170.35/165.04 ncf('1.2.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xb, xc, xq)), sdteqdtlpzmzozddtrp0(xc, xb, xq), aInteger0(xc), aInteger0(xb), aInteger0(xq), -(xq = sz00)],extension(327 ^ 7,bind([[_84753, _84755, _84757], [xq, xb, xc]]))).
% 170.35/165.04 ncf('1.2.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xc, xb, xq)), 307 : aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb))), 307 : aInteger0(xc), 307 : aInteger0(xb), 307 : aInteger0(xq), 307 : -(xq = sz00)],extension(285 ^ 8,bind([[_83574, _83576, _83578], [xq, xb, xc]]))).
% 170.35/165.04 ncf('1.2.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb))), xq = xq, sdtpldt0(xc, smndt0(xb)) = sdtpldt0(xc, smndt0(xb))],extension(20 ^ 11,bind([[_75093, _75095, _75097, _75099], [sdtpldt0(xc, smndt0(xb)), sdtpldt0(xc, smndt0(xb)), xq, xq]]))).
% 170.35/165.04 ncf('1.2.1.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb)))), 301 : sdteqdtlpzmzozddtrp0(xc, xb, xq), 301 : aInteger0(xc), 301 : aInteger0(xb), 301 : aInteger0(xq), 301 : -(xq = sz00)],extension(285 ^ 12,bind([[_83574, _83576, _83578], [xq, xb, xc]]))).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xc, xb, xq)), sdteqdtlpzmzozddtrp0(xb, xc, xq), aInteger0(xb), aInteger0(xc), aInteger0(xq), -(xq = sz00)],extension(327 ^ 15,bind([[_84753, _84755, _84757], [xq, xc, xb]]))).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xb, xc, xq))],extension(361 ^ 16)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.1.2',plain,[-(aInteger0(xb))],extension(351 ^ 16)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.1.3',plain,[-(aInteger0(xc))],extension(357 ^ 16)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 16)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.1.5',plain,[xq = sz00],extension(355 ^ 16)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.2',plain,[-(aInteger0(xc))],extension(357 ^ 13)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 13)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 13)).
% 170.35/165.04 ncf('1.2.1.1.1.1.1.5',plain,[xq = sz00],extension(355 ^ 13)).
% 170.35/165.04 ncf('1.2.1.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 12,bind([[_74441], [xq]]))).
% 170.35/165.04 ncf('1.2.1.1.1.1.3',plain,[-(sdtpldt0(xc, smndt0(xb)) = sdtpldt0(xc, smndt0(xb)))],extension(2 ^ 12,bind([[_74441], [sdtpldt0(xc, smndt0(xb))]]))).
% 170.35/165.04 ncf('1.2.1.1.1.2',plain,[-(aInteger0(xc))],extension(357 ^ 9)).
% 170.35/165.04 ncf('1.2.1.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 9)).
% 170.35/165.04 ncf('1.2.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 9)).
% 170.35/165.04 ncf('1.2.1.1.1.5',plain,[xq = sz00, -(aInteger0(sz00)), aInteger0(xq)],extension(52 ^ 9,bind([[_76098, _76100], [sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.1.1.5.1',plain,[aInteger0(sz00), aInteger0(sz00), sdtasdt0(sz00, sz00) = sz00, -(sz00 = sz00), -(sz00 = sz00)],extension(232 ^ 10,bind([[_81888, _81890], [sz00, sz00]]))).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.1',plain,[-(aInteger0(sz00))],reduction('1.2.1.1.1.5')).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.2',plain,[-(sdtasdt0(sz00, sz00) = sz00), aInteger0(sz00)],extension(216 ^ 11,bind([[_81320], [sz00]]))).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.2.1',plain,[-(aInteger0(sz00))],lemmata('[5, 1, 1, 1, 2, 1].x')).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.3',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 11,bind([[_74752, _74754, _74756], [sz00, sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.3.1',plain,[xq = sz00],extension(355 ^ 12)).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.3.2',plain,[-(xq = sz00)],reduction('1.2.1.1.1')).
% 170.35/165.04 ncf('1.2.1.1.1.5.1.4',plain,[sz00 = sz00],lemmata('[5, 1, 1, 1, 2, 1].x')).
% 170.35/165.04 ncf('1.2.1.1.1.5.2',plain,[-(aInteger0(xq))],lemmata('[1, 1, 2, 1].x')).
% 170.35/165.04 ncf('1.2.1.1.2',plain,[-(aInteger0(xc))],extension(357 ^ 8)).
% 170.35/165.04 ncf('1.2.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 8)).
% 170.35/165.04 ncf('1.2.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 8)).
% 170.35/165.04 ncf('1.2.1.1.5',plain,[xq = sz00, -(aInteger0(sz00)), aInteger0(xq)],extension(52 ^ 8,bind([[_76098, _76100], [sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.1.5.1',plain,[aInteger0(sz00), 164 : -(sdtpldt0(sz00, smndt0(sz00)) = sz00)],extension(160 ^ 9,bind([[_79478], [sz00]]))).
% 170.35/165.04 ncf('1.2.1.1.5.1.1',plain,[sdtpldt0(sz00, smndt0(sz00)) = sz00, -(sz00 = sz00), sz00 = sdtpldt0(sz00, smndt0(sz00))],extension(10 ^ 12,bind([[_74752, _74754, _74756], [sz00, sdtpldt0(sz00, smndt0(sz00)), sz00]]))).
% 170.35/165.04 ncf('1.2.1.1.5.1.1.1',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 13,bind([[_74752, _74754, _74756], [sz00, sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.1.5.1.1.1.1',plain,[xq = sz00],extension(355 ^ 14)).
% 170.35/165.04 ncf('1.2.1.1.5.1.1.1.2',plain,[-(xq = sz00)],reduction('1.2.1.1')).
% 170.35/165.04 ncf('1.2.1.1.5.1.1.2',plain,[-(sz00 = sdtpldt0(sz00, smndt0(sz00))), sdtpldt0(sz00, smndt0(sz00)) = sz00],extension(4 ^ 13,bind([[_74548, _74550], [sz00, sdtpldt0(sz00, smndt0(sz00))]]))).
% 170.35/165.04 ncf('1.2.1.1.5.1.1.2.1',plain,[-(sdtpldt0(sz00, smndt0(sz00)) = sz00)],reduction('1.2.1.1.5.1')).
% 170.35/165.04 ncf('1.2.1.1.5.2',plain,[-(aInteger0(xq))],lemmata('[1, 2, 1].x')).
% 170.35/165.04 ncf('1.2.1.2',plain,[-(aInteger0(xb))],extension(351 ^ 5)).
% 170.35/165.04 ncf('1.2.1.3',plain,[-(aInteger0(xc))],extension(357 ^ 5)).
% 170.35/165.04 ncf('1.2.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 5)).
% 170.35/165.04 ncf('1.2.1.5',plain,[xq = sz00, -(aInteger0(sz00)), aInteger0(xq)],extension(52 ^ 5,bind([[_76098, _76100], [sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.5.1',plain,[aInteger0(sz00), 164 : -(sdtpldt0(sz00, smndt0(sz00)) = sz00)],extension(160 ^ 6,bind([[_79478], [sz00]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1',plain,[sdtpldt0(sz00, smndt0(sz00)) = sz00, -(xq = sz00), xq = sdtpldt0(sz00, smndt0(sz00))],extension(10 ^ 9,bind([[_74752, _74754, _74756], [sz00, sdtpldt0(sz00, smndt0(sz00)), xq]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1.1',plain,[xq = sz00, -(sz00 = sz00), sz00 = xq],extension(10 ^ 10,bind([[_74752, _74754, _74756], [sz00, xq, sz00]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1.1.1',plain,[sz00 = sz00, -(xq = sz00), xq = sz00],extension(10 ^ 11,bind([[_74752, _74754, _74756], [sz00, sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1.1.1.1',plain,[xq = sz00],extension(355 ^ 12)).
% 170.35/165.04 ncf('1.2.1.5.1.1.1.1.2',plain,[-(xq = sz00)],reduction('1.2.1.5.1.1')).
% 170.35/165.04 ncf('1.2.1.5.1.1.1.2',plain,[-(sz00 = xq), xq = sz00],extension(4 ^ 11,bind([[_74548, _74550], [sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1.1.2.1',plain,[-(xq = sz00)],reduction('1.2.1.5.1.1')).
% 170.35/165.04 ncf('1.2.1.5.1.1.2',plain,[-(xq = sdtpldt0(sz00, smndt0(sz00))), xq = sz00, sz00 = sdtpldt0(sz00, smndt0(sz00))],extension(10 ^ 10,bind([[_74752, _74754, _74756], [sdtpldt0(sz00, smndt0(sz00)), sz00, xq]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1.2.1',plain,[-(xq = sz00)],reduction('1.2.1')).
% 170.35/165.04 ncf('1.2.1.5.1.1.2.2',plain,[-(sz00 = sdtpldt0(sz00, smndt0(sz00))), sdtpldt0(sz00, smndt0(sz00)) = sz00],extension(4 ^ 11,bind([[_74548, _74550], [sz00, sdtpldt0(sz00, smndt0(sz00))]]))).
% 170.35/165.04 ncf('1.2.1.5.1.1.2.2.1',plain,[-(sdtpldt0(sz00, smndt0(sz00)) = sz00)],reduction('1.2.1.5.1')).
% 170.35/165.04 ncf('1.2.1.5.2',plain,[-(aInteger0(xq))],lemmata('[2, 1].x')).
% 170.35/165.04 ncf('1.2.2',plain,[-(aInteger0(sdtpldt0(xb, smndt0(xc)))), aInteger0(xb), aInteger0(smndt0(xc))],extension(108 ^ 2,bind([[_77880, _77882], [smndt0(xc), xb]]))).
% 170.35/165.04 ncf('1.2.2.1',plain,[-(aInteger0(xb))],extension(351 ^ 3)).
% 170.35/165.04 ncf('1.2.2.2',plain,[-(aInteger0(smndt0(xc))), aInteger0(xc)],extension(102 ^ 3,bind([[_77676], [xc]]))).
% 170.35/165.04 ncf('1.2.2.2.1',plain,[-(aInteger0(xc))],extension(357 ^ 4)).
% 170.35/165.04 %-----------------------------------------------------
% 170.35/165.04 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------