TSTP Solution File: NUM429+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM429+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 26.39s 26.23s
% Output : Proof 26.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM429+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 16:44:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 26.39/26.23
% 26.39/26.23 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 26.39/26.23 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.39/26.23 %-----------------------------------------------------
% 26.39/26.23 ncf(matrix, plain, [(363 ^ _68187) ^ [_79690] : [aInteger0(_79690), sdtasdt0(xq, _79690) = sdtpldt0(xa, smndt0(xb))], (62 ^ _68187) ^ [_70321, _70323, _70325, _70327] : [-(sdtasdt0(_70327, _70323) = sdtasdt0(_70325, _70321)), _70327 = _70325, _70323 = _70321], (82 ^ _68187) ^ [_70991, _70993] : [_70993 = _70991, -(smndt0(_70993) = smndt0(_70991))], (72 ^ _68187) ^ [_70680, _70682, _70684, _70686] : [-(sdtpldt0(_70686, _70682) = sdtpldt0(_70684, _70680)), _70686 = _70684, _70682 = _70680], (2 ^ _68187) ^ [_68331] : [-(_68331 = _68331)], (4 ^ _68187) ^ [_68438, _68440] : [_68440 = _68438, -(_68438 = _68440)], (10 ^ _68187) ^ [_68642, _68644, _68646] : [-(_68646 = _68642), _68646 = _68644, _68644 = _68642], (20 ^ _68187) ^ [_68983, _68985, _68987, _68989] : [-(aDivisorOf0(_68987, _68983)), aDivisorOf0(_68989, _68985), _68989 = _68987, _68985 = _68983], (52 ^ _68187) ^ [_69988, _69990] : [-(aInteger0(_69988)), _69990 = _69988, aInteger0(_69990)], (34 ^ _68187) ^ [_69455, _69457, _69459, _69461, _69463, _69465] : [-(sdteqdtlpzmzozddtrp0(_69463, _69459, _69455)), sdteqdtlpzmzozddtrp0(_69465, _69461, _69457), _69465 = _69463, _69461 = _69459, _69457 = _69455], (88 ^ _68187) ^ [_71205] : [aInteger0(_71205), true___, -(true___)], (98 ^ _68187) ^ [] : [-(aInteger0(sz00))], (100 ^ _68187) ^ [] : [-(aInteger0(sz10))], (102 ^ _68187) ^ [_71566] : [aInteger0(_71566), -(aInteger0(smndt0(_71566)))], (108 ^ _68187) ^ [_71770, _71772] : [-(aInteger0(sdtpldt0(_71772, _71770))), aInteger0(_71772), aInteger0(_71770)], (118 ^ _68187) ^ [_72069, _72071] : [-(aInteger0(sdtasdt0(_72071, _72069))), aInteger0(_72071), aInteger0(_72069)], (128 ^ _68187) ^ [_72382, _72384, _72386] : [-(sdtpldt0(_72386, sdtpldt0(_72384, _72382)) = sdtpldt0(sdtpldt0(_72386, _72384), _72382)), aInteger0(_72386), aInteger0(_72384), aInteger0(_72382)], (142 ^ _68187) ^ [_72802, _72804] : [-(sdtpldt0(_72804, _72802) = sdtpldt0(_72802, _72804)), aInteger0(_72804), aInteger0(_72802)], (152 ^ _68187) ^ [_73095] : [aInteger0(_73095), 155 ^ _68187 : [(156 ^ _68187) ^ [] : [-(sdtpldt0(_73095, sz00) = _73095)], (158 ^ _68187) ^ [] : [-(_73095 = sdtpldt0(sz00, _73095))]]], (160 ^ _68187) ^ [_73368] : [aInteger0(_73368), 163 ^ _68187 : [(164 ^ _68187) ^ [] : [-(sdtpldt0(_73368, smndt0(_73368)) = sz00)], (166 ^ _68187) ^ [] : [-(sz00 = sdtpldt0(smndt0(_73368), _73368))]]], (168 ^ _68187) ^ [_73677, _73679, _73681] : [-(sdtasdt0(_73681, sdtasdt0(_73679, _73677)) = sdtasdt0(sdtasdt0(_73681, _73679), _73677)), aInteger0(_73681), aInteger0(_73679), aInteger0(_73677)], (182 ^ _68187) ^ [_74097, _74099] : [-(sdtasdt0(_74099, _74097) = sdtasdt0(_74097, _74099)), aInteger0(_74099), aInteger0(_74097)], (192 ^ _68187) ^ [_74390] : [aInteger0(_74390), 195 ^ _68187 : [(196 ^ _68187) ^ [] : [-(sdtasdt0(_74390, sz10) = _74390)], (198 ^ _68187) ^ [] : [-(_74390 = sdtasdt0(sz10, _74390))]]], (200 ^ _68187) ^ [_74691, _74693, _74695] : [211 ^ _68187 : [(212 ^ _68187) ^ [] : [-(sdtasdt0(_74695, sdtpldt0(_74693, _74691)) = sdtpldt0(sdtasdt0(_74695, _74693), sdtasdt0(_74695, _74691)))], (214 ^ _68187) ^ [] : [-(sdtasdt0(sdtpldt0(_74695, _74693), _74691) = sdtpldt0(sdtasdt0(_74695, _74691), sdtasdt0(_74693, _74691)))]], aInteger0(_74695), aInteger0(_74693), aInteger0(_74691)], (216 ^ _68187) ^ [_75210] : [aInteger0(_75210), 219 ^ _68187 : [(220 ^ _68187) ^ [] : [-(sdtasdt0(_75210, sz00) = sz00)], (222 ^ _68187) ^ [] : [-(sz00 = sdtasdt0(sz00, _75210))]]], (224 ^ _68187) ^ [_75483] : [aInteger0(_75483), 227 ^ _68187 : [(228 ^ _68187) ^ [] : [-(sdtasdt0(smndt0(sz10), _75483) = smndt0(_75483))], (230 ^ _68187) ^ [] : [-(smndt0(_75483) = sdtasdt0(_75483, smndt0(sz10)))]]], (232 ^ _68187) ^ [_75778, _75780] : [aInteger0(_75780), aInteger0(_75778), sdtasdt0(_75780, _75778) = sz00, -(_75780 = sz00), -(_75778 = sz00)], (250 ^ _68187) ^ [_76246] : [aInteger0(_76246), 253 ^ _68187 : [(254 ^ _68187) ^ [_76432] : [aDivisorOf0(_76432, _76246), 257 ^ _68187 : [(258 ^ _68187) ^ [] : [-(aInteger0(_76432))], (260 ^ _68187) ^ [] : [_76432 = sz00], (263 ^ _68187) ^ [] : [-(aInteger0(261 ^ [_76246, _76432]))], (265 ^ _68187) ^ [] : [-(sdtasdt0(_76432, 261 ^ [_76246, _76432]) = _76246)]]], (267 ^ _68187) ^ [_76894] : [-(aDivisorOf0(_76894, _76246)), aInteger0(_76894), -(_76894 = sz00), 276 ^ _68187 : [(277 ^ _68187) ^ [_77161] : [aInteger0(_77161), sdtasdt0(_76894, _77161) = _76246]]]]], (285 ^ _68187) ^ [_77464, _77466, _77468] : [aInteger0(_77468), aInteger0(_77466), aInteger0(_77464), -(_77464 = sz00), 300 ^ _68187 : [(301 ^ _68187) ^ [] : [sdteqdtlpzmzozddtrp0(_77468, _77466, _77464), -(aDivisorOf0(_77464, sdtpldt0(_77468, smndt0(_77466))))], (307 ^ _68187) ^ [] : [aDivisorOf0(_77464, sdtpldt0(_77468, smndt0(_77466))), -(sdteqdtlpzmzozddtrp0(_77468, _77466, _77464))]]], (313 ^ _68187) ^ [_78240, _78242] : [-(sdteqdtlpzmzozddtrp0(_78242, _78242, _78240)), aInteger0(_78242), aInteger0(_78240), -(_78240 = sz00)], (349 ^ _68187) ^ [] : [-(aInteger0(xa))], (351 ^ _68187) ^ [] : [-(aInteger0(xb))], (353 ^ _68187) ^ [] : [-(aInteger0(xq))], (355 ^ _68187) ^ [] : [xq = sz00], (357 ^ _68187) ^ [] : [-(aInteger0(xc))], (359 ^ _68187) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, xq))], (361 ^ _68187) ^ [] : [-(sdteqdtlpzmzozddtrp0(xb, xc, xq))], (327 ^ _68187) ^ [_78643, _78645, _78647] : [sdteqdtlpzmzozddtrp0(_78647, _78645, _78643), -(sdteqdtlpzmzozddtrp0(_78645, _78647, _78643)), aInteger0(_78647), aInteger0(_78645), aInteger0(_78643), -(_78643 = sz00)]], input).
% 26.39/26.23 ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(xq, sz00), 260 : xq = sz00],start(250 ^ 0,bind([[_76246, _76432], [sz00, xq]]))).
% 26.39/26.23 ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 26.39/26.23 ncf('1.2',plain,[-(aDivisorOf0(xq, sz00)), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sz00],extension(20 ^ 3,bind([[_68983, _68985, _68987, _68989], [sz00, sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 26.39/26.23 ncf('1.2.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 4,bind([[_68983, _68985, _68987, _68989], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 26.39/26.23 ncf('1.2.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 5,bind([[_68983, _68985, _68987, _68989], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 26.39/26.23 ncf('1.2.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 6,bind([[_68983, _68985, _68987, _68989], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 26.39/26.23 ncf('1.2.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(20 ^ 7,bind([[_68983, _68985, _68987, _68989], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 26.39/26.23 ncf('1.2.1.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), 301 : sdteqdtlpzmzozddtrp0(xa, xb, xq), 301 : aInteger0(xa), 301 : aInteger0(xb), 301 : aInteger0(xq), 301 : -(xq = sz00)],extension(285 ^ 8,bind([[_77464, _77466, _77468], [xq, xb, xa]]))).
% 26.39/26.23 ncf('1.2.1.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, xq))],extension(359 ^ 11)).
% 26.39/26.23 ncf('1.2.1.1.1.1.1.2',plain,[-(aInteger0(xa))],extension(349 ^ 9)).
% 26.39/26.23 ncf('1.2.1.1.1.1.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 9)).
% 26.39/26.23 ncf('1.2.1.1.1.1.1.4',plain,[-(aInteger0(xq))],extension(353 ^ 9)).
% 26.39/26.23 ncf('1.2.1.1.1.1.1.5',plain,[xq = sz00],extension(355 ^ 9)).
% 26.39/26.23 ncf('1.2.1.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 8,bind([[_68331], [xq]]))).
% 26.39/26.23 ncf('1.2.1.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb)))],extension(2 ^ 8,bind([[_68331], [sdtpldt0(xa, smndt0(xb))]]))).
% 26.39/26.23 ncf('1.2.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 7,bind([[_68331], [xq]]))).
% 26.39/26.23 ncf('1.2.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 7,bind([[_70680, _70682, _70684, _70686], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 26.39/26.23 ncf('1.2.1.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 8,bind([[_68331], [xa]]))).
% 26.39/26.23 ncf('1.2.1.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb))],extension(2 ^ 8,bind([[_68331], [smndt0(xb)]]))).
% 26.39/26.23 ncf('1.2.1.1.2',plain,[-(xq = xq)],extension(2 ^ 6,bind([[_68331], [xq]]))).
% 26.39/26.23 ncf('1.2.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 6,bind([[_70680, _70682, _70684, _70686], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 26.39/26.23 ncf('1.2.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 7,bind([[_68331], [xa]]))).
% 26.39/26.23 ncf('1.2.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(82 ^ 7,bind([[_70991, _70993], [xb, xb]]))).
% 26.39/26.23 ncf('1.2.1.1.3.2.1',plain,[-(xb = xb)],extension(2 ^ 8,bind([[_68331], [xb]]))).
% 26.39/26.23 ncf('1.2.1.2',plain,[-(xq = xq)],extension(2 ^ 5,bind([[_68331], [xq]]))).
% 26.39/26.23 ncf('1.2.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 5,bind([[_70680, _70682, _70684, _70686], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 26.42/26.23 ncf('1.2.1.3.1',plain,[-(xa = xa)],extension(2 ^ 6,bind([[_68331], [xa]]))).
% 26.42/26.23 ncf('1.2.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(82 ^ 6,bind([[_70991, _70993], [xb, xb]]))).
% 26.42/26.23 ncf('1.2.1.3.2.1',plain,[-(xb = xb)],extension(2 ^ 7,bind([[_68331], [xb]]))).
% 26.42/26.23 ncf('1.2.2',plain,[-(xq = xq)],extension(2 ^ 4,bind([[_68331], [xq]]))).
% 26.42/26.23 ncf('1.2.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb))), aInteger0(sz00), sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00, -(sz00 = sz00)],extension(232 ^ 4,bind([[_75778, _75780], [sz00, sdtpldt0(xa, smndt0(xb))]]))).
% 26.42/26.23 ncf('1.2.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(108 ^ 5,bind([[_71770, _71772], [smndt0(xb), xa]]))).
% 26.42/26.23 ncf('1.2.3.1.1',plain,[-(aInteger0(xa))],extension(349 ^ 6)).
% 26.42/26.23 ncf('1.2.3.1.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(102 ^ 6,bind([[_71566], [xb]]))).
% 26.42/26.23 ncf('1.2.3.1.2.1',plain,[-(aInteger0(xb))],extension(351 ^ 7)).
% 26.42/26.23 ncf('1.2.3.2',plain,[-(aInteger0(sz00))],extension(98 ^ 5)).
% 26.42/26.23 ncf('1.2.3.3',plain,[-(sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(216 ^ 5,bind([[_75210], [sdtpldt0(xa, smndt0(xb))]]))).
% 26.42/26.23 ncf('1.2.3.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('[2, 1].x')).
% 26.42/26.23 ncf('1.2.3.4',plain,[sz00 = sz00, -(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00)), xq = sz00],extension(62 ^ 5,bind([[_70321, _70323, _70325, _70327], [sz00, sz00, sz00, xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1',plain,[sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00), 277 : aInteger0(sz00), 277 : -(aDivisorOf0(xq, sdtasdt0(sz00, sz00))), 277 : aInteger0(xq), 277 : -(xq = sz00), 267 : aInteger0(sdtasdt0(sz00, sz00))],extension(250 ^ 6,bind([[_76246, _76894, _77161], [sdtasdt0(sz00, sz00), xq, sz00]]))).
% 26.42/26.23 ncf('1.2.3.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 26.42/26.23 ncf('1.2.3.4.1.2',plain,[aDivisorOf0(xq, sdtasdt0(sz00, sz00)), -(aDivisorOf0(xq, sz00)), xq = xq, sdtasdt0(sz00, sz00) = sz00],extension(20 ^ 9,bind([[_68983, _68985, _68987, _68989], [sz00, sdtasdt0(sz00, sz00), xq, xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1.2.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 26.42/26.23 ncf('1.2.3.4.1.2.2',plain,[-(xq = xq)],extension(2 ^ 10,bind([[_68331], [xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1.2.3',plain,[-(sdtasdt0(sz00, sz00) = sz00), aInteger0(sz00)],extension(216 ^ 10,bind([[_75210], [sz00]]))).
% 26.42/26.23 ncf('1.2.3.4.1.2.3.1',plain,[-(aInteger0(sz00))],extension(98 ^ 11)).
% 26.42/26.23 ncf('1.2.3.4.1.3',plain,[-(aInteger0(xq))],extension(353 ^ 9)).
% 26.42/26.23 ncf('1.2.3.4.1.4',plain,[xq = sz00, -(xq = xq), sz00 = xq],extension(10 ^ 9,bind([[_68642, _68644, _68646], [xq, sz00, xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1.4.1',plain,[xq = xq, -(xq = sz00), xq = sz00],extension(10 ^ 10,bind([[_68642, _68644, _68646], [sz00, xq, xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1.4.1.1',plain,[xq = sz00],extension(355 ^ 11)).
% 26.42/26.23 ncf('1.2.3.4.1.4.1.2',plain,[-(xq = sz00)],reduction('1.2.3.4.1')).
% 26.42/26.23 ncf('1.2.3.4.1.4.2',plain,[-(sz00 = xq), xq = sz00],extension(4 ^ 10,bind([[_68438, _68440], [sz00, xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1.4.2.1',plain,[-(xq = sz00)],reduction('1.2.3.4.1')).
% 26.42/26.23 ncf('1.2.3.4.1.5',plain,[-(aInteger0(sdtasdt0(sz00, sz00))), sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00), aInteger0(sdtasdt0(xq, sz00))],extension(52 ^ 7,bind([[_69988, _69990], [sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00)]]))).
% 26.42/26.23 ncf('1.2.3.4.1.5.1',plain,[-(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00))],reduction('1.2.3.4')).
% 26.42/26.23 ncf('1.2.3.4.1.5.2',plain,[-(aInteger0(sdtasdt0(xq, sz00))), aInteger0(xq), aInteger0(sz00)],extension(118 ^ 8,bind([[_72069, _72071], [sz00, xq]]))).
% 26.42/26.23 ncf('1.2.3.4.1.5.2.1',plain,[-(aInteger0(xq))],extension(353 ^ 9)).
% 26.42/26.23 ncf('1.2.3.4.1.5.2.2',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 26.42/26.23 ncf('1.2.3.4.2',plain,[-(xq = sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), 277 : aInteger0(sz00), 277 : sdtasdt0(xq, sz00) = sz00],extension(267 ^ 6,bind([[_76894, _77161], [xq, sz00]]))).
% 26.42/26.23 ncf('1.2.3.4.2.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 26.42/26.23 ncf('1.2.3.4.2.2',plain,[-(aInteger0(xq))],extension(353 ^ 7)).
% 26.42/26.23 ncf('1.2.3.4.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 9)).
% 26.42/26.23 ncf('1.2.3.4.2.4',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 9,bind([[_75210], [xq]]))).
% 26.42/26.23 ncf('1.2.3.4.2.4.1',plain,[-(aInteger0(xq))],lemmata('[4, 3, 2, 1].x')).
% 26.42/26.23 ncf('1.3',plain,[-(xq = sz00), sdteqdtlpzmzozddtrp0(xa, xb, xq), -(sdteqdtlpzmzozddtrp0(xb, xa, xq)), aInteger0(xa), aInteger0(xb), aInteger0(xq)],extension(327 ^ 5,bind([[_78643, _78645, _78647], [xq, xb, xa]]))).
% 26.42/26.23 ncf('1.3.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, xq)), sdteqdtlpzmzozddtrp0(xa, xb, xq), xa = xa, xb = xb, xq = xq],extension(34 ^ 6,bind([[_69455, _69457, _69459, _69461, _69463, _69465], [xq, xq, xb, xb, xa, xa]]))).
% 26.42/26.23 ncf('1.3.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, xq)), sdteqdtlpzmzozddtrp0(xa, xb, xq), xa = xa, xb = xb, xq = xq],extension(34 ^ 7,bind([[_69455, _69457, _69459, _69461, _69463, _69465], [xq, xq, xb, xb, xa, xa]]))).
% 26.42/26.23 ncf('1.3.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, xq)), sdteqdtlpzmzozddtrp0(xa, xb, xq), xa = xa, xb = xb, xq = xq],extension(34 ^ 8,bind([[_69455, _69457, _69459, _69461, _69463, _69465], [xq, xq, xb, xb, xa, xa]]))).
% 26.42/26.23 ncf('1.3.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, xq)), sdteqdtlpzmzozddtrp0(xa, xb, xq), xa = xa, xb = xb, xq = xq],extension(34 ^ 9,bind([[_69455, _69457, _69459, _69461, _69463, _69465], [xq, xq, xb, xb, xa, xa]]))).
% 26.42/26.23 ncf('1.3.1.1.1.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xa, xb, xq))],extension(359 ^ 10)).
% 26.42/26.23 ncf('1.3.1.1.1.1.2',plain,[-(xa = xa)],extension(2 ^ 10,bind([[_68331], [xa]]))).
% 26.42/26.23 ncf('1.3.1.1.1.1.3',plain,[-(xb = xb)],extension(2 ^ 10,bind([[_68331], [xb]]))).
% 26.42/26.23 ncf('1.3.1.1.1.1.4',plain,[-(xq = xq)],extension(2 ^ 10,bind([[_68331], [xq]]))).
% 26.42/26.23 ncf('1.3.1.1.1.2',plain,[-(xa = xa)],extension(2 ^ 9,bind([[_68331], [xa]]))).
% 26.42/26.23 ncf('1.3.1.1.1.3',plain,[-(xb = xb)],extension(2 ^ 9,bind([[_68331], [xb]]))).
% 26.42/26.23 ncf('1.3.1.1.1.4',plain,[-(xq = xq)],extension(2 ^ 9,bind([[_68331], [xq]]))).
% 26.42/26.23 ncf('1.3.1.1.2',plain,[-(xa = xa)],extension(2 ^ 8,bind([[_68331], [xa]]))).
% 26.42/26.23 ncf('1.3.1.1.3',plain,[-(xb = xb)],extension(2 ^ 8,bind([[_68331], [xb]]))).
% 26.42/26.23 ncf('1.3.1.1.4',plain,[-(xq = xq)],extension(2 ^ 8,bind([[_68331], [xq]]))).
% 26.42/26.23 ncf('1.3.1.2',plain,[-(xa = xa)],extension(2 ^ 7,bind([[_68331], [xa]]))).
% 26.42/26.23 ncf('1.3.1.3',plain,[-(xb = xb)],extension(2 ^ 7,bind([[_68331], [xb]]))).
% 26.42/26.23 ncf('1.3.1.4',plain,[-(xq = xq)],extension(2 ^ 7,bind([[_68331], [xq]]))).
% 26.42/26.23 ncf('1.3.2',plain,[sdteqdtlpzmzozddtrp0(xb, xa, xq), -(sdteqdtlpzmzozddtrp0(xa, xb, xq)), aInteger0(xb), aInteger0(xa), aInteger0(xq), -(xq = sz00)],extension(327 ^ 6,bind([[_78643, _78645, _78647], [xq, xa, xb]]))).
% 26.42/26.23 ncf('1.3.2.1',plain,[sdteqdtlpzmzozddtrp0(xa, xb, xq), 301 : -(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), 301 : aInteger0(xa), 301 : aInteger0(xb), 301 : aInteger0(xq), 301 : -(xq = sz00)],extension(285 ^ 7,bind([[_77464, _77466, _77468], [xq, xb, xa]]))).
% 26.42/26.23 ncf('1.3.2.1.1',plain,[aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), 263 : -(aInteger0(261 ^ [sdtpldt0(xa, smndt0(xb)), xq])), 254 : aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(250 ^ 10,bind([[_76246, _76432], [sdtpldt0(xa, smndt0(xb)), xq]]))).
% 26.42/26.23 ncf('1.3.2.1.1.1',plain,[aInteger0(261 ^ [sdtpldt0(xa, smndt0(xb)), xq]), sdtasdt0(xq, 261 ^ [sdtpldt0(xa, smndt0(xb)), xq]) = sdtpldt0(xa, smndt0(xb))],extension(363 ^ 15,bind([[_79690], [261 ^ [sdtpldt0(xa, smndt0(xb)), xq]]]))).
% 26.42/26.23 ncf('1.3.2.1.1.1.1',plain,[-(sdtasdt0(xq, 261 ^ [sdtpldt0(xa, smndt0(xb)), xq]) = sdtpldt0(xa, smndt0(xb)))],extension(265 ^ 16)).
% 26.42/26.23 ncf('1.3.2.1.1.2',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(108 ^ 11,bind([[_71770, _71772], [smndt0(xb), xa]]))).
% 26.42/26.23 ncf('1.3.2.1.1.2.1',plain,[-(aInteger0(xa))],extension(349 ^ 12)).
% 26.42/26.23 ncf('1.3.2.1.1.2.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(102 ^ 12,bind([[_71566], [xb]]))).
% 26.42/26.23 ncf('1.3.2.1.1.2.2.1',plain,[-(aInteger0(xb))],extension(351 ^ 13)).
% 26.42/26.23 ncf('1.3.2.1.2',plain,[-(aInteger0(xa))],extension(349 ^ 8)).
% 26.42/26.23 ncf('1.3.2.1.3',plain,[-(aInteger0(xb))],extension(351 ^ 8)).
% 26.42/26.23 ncf('1.3.2.1.4',plain,[-(aInteger0(xq))],extension(258 ^ 8)).
% 26.42/26.23 ncf('1.3.2.1.5',plain,[xq = sz00],reduction('1')).
% 26.42/26.23 ncf('1.3.2.2',plain,[-(aInteger0(xb))],extension(351 ^ 7)).
% 26.42/26.23 ncf('1.3.2.3',plain,[-(aInteger0(xa))],extension(349 ^ 7)).
% 26.42/26.23 ncf('1.3.2.4',plain,[-(aInteger0(xq))],extension(258 ^ 7)).
% 26.42/26.23 ncf('1.3.2.5',plain,[xq = sz00],reduction('1')).
% 26.42/26.23 ncf('1.3.3',plain,[-(aInteger0(xa))],extension(349 ^ 6)).
% 26.42/26.23 ncf('1.3.4',plain,[-(aInteger0(xb))],extension(351 ^ 6)).
% 26.42/26.23 ncf('1.3.5',plain,[-(aInteger0(xq))],extension(258 ^ 6)).
% 26.42/26.23 %-----------------------------------------------------
% 26.42/26.23 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------