TSTP Solution File: NUM427+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 11:44:35 EDT 2023
% Result : Theorem 3.95s 4.48s
% Output : Proof 3.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n002.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 17:51:49 EDT 2023
% 0.12/0.33 % CPUTime :
% 3.95/4.48
% 3.95/4.48 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 3.95/4.48 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.95/4.48 %-----------------------------------------------------
% 3.95/4.48 ncf(matrix, plain, [(356 ^ _66008) ^ [] : [aDivisorOf0(xq, sdtpldt0(xb, smndt0(xa)))], (358 ^ _66008) ^ [] : [sdteqdtlpzmzozddtrp0(xb, xa, xq)], (350 ^ _66008) ^ [_77211] : [aInteger0(_77211), sdtasdt0(xq, _77211) = sdtpldt0(xb, smndt0(xa))], (62 ^ _66008) ^ [_68142, _68144, _68146, _68148] : [-(sdtasdt0(_68148, _68144) = sdtasdt0(_68146, _68142)), _68148 = _68146, _68144 = _68142], (82 ^ _66008) ^ [_68812, _68814] : [_68814 = _68812, -(smndt0(_68814) = smndt0(_68812))], (72 ^ _66008) ^ [_68501, _68503, _68505, _68507] : [-(sdtpldt0(_68507, _68503) = sdtpldt0(_68505, _68501)), _68507 = _68505, _68503 = _68501], (2 ^ _66008) ^ [_66152] : [-(_66152 = _66152)], (4 ^ _66008) ^ [_66259, _66261] : [_66261 = _66259, -(_66259 = _66261)], (10 ^ _66008) ^ [_66463, _66465, _66467] : [-(_66467 = _66463), _66467 = _66465, _66465 = _66463], (20 ^ _66008) ^ [_66776, _66778] : [-(aInteger0(_66776)), _66778 = _66776, aInteger0(_66778)], (30 ^ _66008) ^ [_67099, _67101, _67103, _67105] : [-(aDivisorOf0(_67103, _67099)), aDivisorOf0(_67105, _67101), _67105 = _67103, _67101 = _67099], (44 ^ _66008) ^ [_67551, _67553, _67555, _67557, _67559, _67561] : [-(sdteqdtlpzmzozddtrp0(_67559, _67555, _67551)), sdteqdtlpzmzozddtrp0(_67561, _67557, _67553), _67561 = _67559, _67557 = _67555, _67553 = _67551], (88 ^ _66008) ^ [_69026] : [aInteger0(_69026), true___, -(true___)], (98 ^ _66008) ^ [] : [-(aInteger0(sz00))], (100 ^ _66008) ^ [] : [-(aInteger0(sz10))], (102 ^ _66008) ^ [_69387] : [aInteger0(_69387), -(aInteger0(smndt0(_69387)))], (108 ^ _66008) ^ [_69591, _69593] : [-(aInteger0(sdtpldt0(_69593, _69591))), aInteger0(_69593), aInteger0(_69591)], (118 ^ _66008) ^ [_69890, _69892] : [-(aInteger0(sdtasdt0(_69892, _69890))), aInteger0(_69892), aInteger0(_69890)], (128 ^ _66008) ^ [_70203, _70205, _70207] : [-(sdtpldt0(_70207, sdtpldt0(_70205, _70203)) = sdtpldt0(sdtpldt0(_70207, _70205), _70203)), aInteger0(_70207), aInteger0(_70205), aInteger0(_70203)], (142 ^ _66008) ^ [_70623, _70625] : [-(sdtpldt0(_70625, _70623) = sdtpldt0(_70623, _70625)), aInteger0(_70625), aInteger0(_70623)], (152 ^ _66008) ^ [_70916] : [aInteger0(_70916), 155 ^ _66008 : [(156 ^ _66008) ^ [] : [-(sdtpldt0(_70916, sz00) = _70916)], (158 ^ _66008) ^ [] : [-(_70916 = sdtpldt0(sz00, _70916))]]], (160 ^ _66008) ^ [_71189] : [aInteger0(_71189), 163 ^ _66008 : [(164 ^ _66008) ^ [] : [-(sdtpldt0(_71189, smndt0(_71189)) = sz00)], (166 ^ _66008) ^ [] : [-(sz00 = sdtpldt0(smndt0(_71189), _71189))]]], (168 ^ _66008) ^ [_71498, _71500, _71502] : [-(sdtasdt0(_71502, sdtasdt0(_71500, _71498)) = sdtasdt0(sdtasdt0(_71502, _71500), _71498)), aInteger0(_71502), aInteger0(_71500), aInteger0(_71498)], (182 ^ _66008) ^ [_71918, _71920] : [-(sdtasdt0(_71920, _71918) = sdtasdt0(_71918, _71920)), aInteger0(_71920), aInteger0(_71918)], (192 ^ _66008) ^ [_72211] : [aInteger0(_72211), 195 ^ _66008 : [(196 ^ _66008) ^ [] : [-(sdtasdt0(_72211, sz10) = _72211)], (198 ^ _66008) ^ [] : [-(_72211 = sdtasdt0(sz10, _72211))]]], (200 ^ _66008) ^ [_72512, _72514, _72516] : [211 ^ _66008 : [(212 ^ _66008) ^ [] : [-(sdtasdt0(_72516, sdtpldt0(_72514, _72512)) = sdtpldt0(sdtasdt0(_72516, _72514), sdtasdt0(_72516, _72512)))], (214 ^ _66008) ^ [] : [-(sdtasdt0(sdtpldt0(_72516, _72514), _72512) = sdtpldt0(sdtasdt0(_72516, _72512), sdtasdt0(_72514, _72512)))]], aInteger0(_72516), aInteger0(_72514), aInteger0(_72512)], (216 ^ _66008) ^ [_73031] : [aInteger0(_73031), 219 ^ _66008 : [(220 ^ _66008) ^ [] : [-(sdtasdt0(_73031, sz00) = sz00)], (222 ^ _66008) ^ [] : [-(sz00 = sdtasdt0(sz00, _73031))]]], (224 ^ _66008) ^ [_73304] : [aInteger0(_73304), 227 ^ _66008 : [(228 ^ _66008) ^ [] : [-(sdtasdt0(smndt0(sz10), _73304) = smndt0(_73304))], (230 ^ _66008) ^ [] : [-(smndt0(_73304) = sdtasdt0(_73304, smndt0(sz10)))]]], (232 ^ _66008) ^ [_73599, _73601] : [aInteger0(_73601), aInteger0(_73599), sdtasdt0(_73601, _73599) = sz00, -(_73601 = sz00), -(_73599 = sz00)], (250 ^ _66008) ^ [_74067] : [aInteger0(_74067), 253 ^ _66008 : [(254 ^ _66008) ^ [_74253] : [aDivisorOf0(_74253, _74067), 257 ^ _66008 : [(258 ^ _66008) ^ [] : [-(aInteger0(_74253))], (260 ^ _66008) ^ [] : [_74253 = sz00], (263 ^ _66008) ^ [] : [-(aInteger0(261 ^ [_74067, _74253]))], (265 ^ _66008) ^ [] : [-(sdtasdt0(_74253, 261 ^ [_74067, _74253]) = _74067)]]], (267 ^ _66008) ^ [_74715] : [-(aDivisorOf0(_74715, _74067)), aInteger0(_74715), -(_74715 = sz00), 276 ^ _66008 : [(277 ^ _66008) ^ [_74982] : [aInteger0(_74982), sdtasdt0(_74715, _74982) = _74067]]]]], (327 ^ _66008) ^ [] : [-(aInteger0(xa))], (329 ^ _66008) ^ [] : [-(aInteger0(xb))], (331 ^ _66008) ^ [] : [-(aInteger0(xq))], (333 ^ _66008) ^ [] : [xq = sz00], (336 ^ _66008) ^ [] : [-(aInteger0(334 ^ []))], (338 ^ _66008) ^ [] : [-(sdtasdt0(xq, 334 ^ []) = sdtpldt0(xa, smndt0(xb)))], (340 ^ _66008) ^ [] : [-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))], (342 ^ _66008) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, xq))], (344 ^ _66008) ^ [] : [-(aInteger0(xn))], (346 ^ _66008) ^ [] : [-(sdtasdt0(xq, xn) = sdtpldt0(xa, smndt0(xb)))], (348 ^ _66008) ^ [] : [-(sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)))], (313 ^ _66008) ^ [_76061, _76063] : [-(sdteqdtlpzmzozddtrp0(_76063, _76063, _76061)), aInteger0(_76063), aInteger0(_76061), -(_76061 = sz00)], (285 ^ _66008) ^ [_75285, _75287, _75289] : [aInteger0(_75289), aInteger0(_75287), aInteger0(_75285), -(_75285 = sz00), 300 ^ _66008 : [(301 ^ _66008) ^ [] : [sdteqdtlpzmzozddtrp0(_75289, _75287, _75285), -(aDivisorOf0(_75285, sdtpldt0(_75289, smndt0(_75287))))], (307 ^ _66008) ^ [] : [aDivisorOf0(_75285, sdtpldt0(_75289, smndt0(_75287))), -(sdteqdtlpzmzozddtrp0(_75289, _75287, _75285))]]]], input).
% 3.95/4.48 ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(xq, sz00), 260 : xq = sz00],start(250 ^ 0,bind([[_74067, _74253], [sz00, xq]]))).
% 3.95/4.48 ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 3.95/4.48 ncf('1.2',plain,[-(aDivisorOf0(xq, sz00)), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sz00],extension(30 ^ 3,bind([[_67099, _67101, _67103, _67105], [sz00, sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 3.95/4.48 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(30 ^ 4,bind([[_67099, _67101, _67103, _67105], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 3.95/4.48 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(30 ^ 5,bind([[_67099, _67101, _67103, _67105], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 3.95/4.48 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(30 ^ 6,bind([[_67099, _67101, _67103, _67105], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 3.95/4.48 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(30 ^ 7,bind([[_67099, _67101, _67103, _67105], [sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)), xq, xq]]))).
% 3.95/4.48 ncf('1.2.1.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))],extension(340 ^ 8)).
% 3.95/4.48 ncf('1.2.1.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 8,bind([[_66152], [xq]]))).
% 3.95/4.48 ncf('1.2.1.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb)))],extension(2 ^ 8,bind([[_66152], [sdtpldt0(xa, smndt0(xb))]]))).
% 3.95/4.48 ncf('1.2.1.1.1.2',plain,[-(xq = xq)],extension(2 ^ 7,bind([[_66152], [xq]]))).
% 3.95/4.48 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([[_68501, _68503, _68505, _68507], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 3.95/4.48 ncf('1.2.1.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 8,bind([[_66152], [xa]]))).
% 3.95/4.48 ncf('1.2.1.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb))],extension(2 ^ 8,bind([[_66152], [smndt0(xb)]]))).
% 3.95/4.48 ncf('1.2.1.1.2',plain,[-(xq = xq)],extension(2 ^ 6,bind([[_66152], [xq]]))).
% 3.95/4.48 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([[_68501, _68503, _68505, _68507], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 3.95/4.48 ncf('1.2.1.1.3.1',plain,[-(xa = xa)],extension(2 ^ 7,bind([[_66152], [xa]]))).
% 3.95/4.48 ncf('1.2.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(82 ^ 7,bind([[_68812, _68814], [xb, xb]]))).
% 3.95/4.48 ncf('1.2.1.1.3.2.1',plain,[-(xb = xb)],extension(2 ^ 8,bind([[_66152], [xb]]))).
% 3.95/4.48 ncf('1.2.1.2',plain,[-(xq = xq)],extension(2 ^ 5,bind([[_66152], [xq]]))).
% 3.95/4.48 ncf('1.2.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(72 ^ 5,bind([[_68501, _68503, _68505, _68507], [smndt0(xb), smndt0(xb), xa, xa]]))).
% 3.95/4.48 ncf('1.2.1.3.1',plain,[-(xa = xa)],extension(2 ^ 6,bind([[_66152], [xa]]))).
% 3.95/4.48 ncf('1.2.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(82 ^ 6,bind([[_68812, _68814], [xb, xb]]))).
% 3.95/4.48 ncf('1.2.1.3.2.1',plain,[-(xb = xb)],extension(2 ^ 7,bind([[_66152], [xb]]))).
% 3.95/4.48 ncf('1.2.2',plain,[-(xq = xq)],extension(2 ^ 4,bind([[_66152], [xq]]))).
% 3.95/4.48 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([[_73599, _73601], [sz00, sdtpldt0(xa, smndt0(xb))]]))).
% 3.95/4.48 ncf('1.2.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(108 ^ 5,bind([[_69591, _69593], [smndt0(xb), xa]]))).
% 3.95/4.48 ncf('1.2.3.1.1',plain,[-(aInteger0(xa))],extension(327 ^ 6)).
% 3.95/4.48 ncf('1.2.3.1.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(102 ^ 6,bind([[_69387], [xb]]))).
% 3.95/4.48 ncf('1.2.3.1.2.1',plain,[-(aInteger0(xb))],extension(329 ^ 7)).
% 3.95/4.48 ncf('1.2.3.2',plain,[-(aInteger0(sz00))],extension(98 ^ 5)).
% 3.95/4.48 ncf('1.2.3.3',plain,[-(sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(216 ^ 5,bind([[_73031], [sdtpldt0(xa, smndt0(xb))]]))).
% 3.95/4.48 ncf('1.2.3.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('[2, 1].x')).
% 3.95/4.48 ncf('1.2.3.4',plain,[sz00 = sz00, -(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00)), xq = sz00],extension(62 ^ 5,bind([[_68142, _68144, _68146, _68148], [sz00, sz00, sz00, xq]]))).
% 3.95/4.48 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([[_74067, _74715, _74982], [sdtasdt0(sz00, sz00), xq, sz00]]))).
% 3.95/4.48 ncf('1.2.3.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 3.95/4.48 ncf('1.2.3.4.1.2',plain,[aDivisorOf0(xq, sdtasdt0(sz00, sz00)), -(aDivisorOf0(xq, sz00)), xq = xq, sdtasdt0(sz00, sz00) = sz00],extension(30 ^ 9,bind([[_67099, _67101, _67103, _67105], [sz00, sdtasdt0(sz00, sz00), xq, xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.2.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 3.95/4.48 ncf('1.2.3.4.1.2.2',plain,[-(xq = xq)],extension(2 ^ 10,bind([[_66152], [xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.2.3',plain,[-(sdtasdt0(sz00, sz00) = sz00), aInteger0(sz00)],extension(216 ^ 10,bind([[_73031], [sz00]]))).
% 3.95/4.48 ncf('1.2.3.4.1.2.3.1',plain,[-(aInteger0(sz00))],extension(98 ^ 11)).
% 3.95/4.48 ncf('1.2.3.4.1.3',plain,[-(aInteger0(xq)), 254 : aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), 254 : aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(250 ^ 9,bind([[_74067, _74253], [sdtpldt0(xa, smndt0(xb)), xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.3.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))],extension(340 ^ 12)).
% 3.95/4.48 ncf('1.2.3.4.1.3.2',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('[2, 1].x')).
% 3.95/4.48 ncf('1.2.3.4.1.4',plain,[xq = sz00, -(xq = xq), sz00 = xq],extension(10 ^ 9,bind([[_66463, _66465, _66467], [xq, sz00, xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.4.1',plain,[xq = xq, -(xq = sz00), xq = sz00],extension(10 ^ 10,bind([[_66463, _66465, _66467], [sz00, xq, xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.4.1.1',plain,[xq = sz00],extension(333 ^ 11)).
% 3.95/4.48 ncf('1.2.3.4.1.4.1.2',plain,[-(xq = sz00)],reduction('1.2.3.4.1')).
% 3.95/4.48 ncf('1.2.3.4.1.4.2',plain,[-(sz00 = xq), xq = sz00],extension(4 ^ 10,bind([[_66259, _66261], [sz00, xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.4.2.1',plain,[-(xq = sz00)],reduction('1.2.3.4.1')).
% 3.95/4.48 ncf('1.2.3.4.1.5',plain,[-(aInteger0(sdtasdt0(sz00, sz00))), sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00), aInteger0(sdtasdt0(xq, sz00))],extension(20 ^ 7,bind([[_66776, _66778], [sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00)]]))).
% 3.95/4.48 ncf('1.2.3.4.1.5.1',plain,[-(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00))],reduction('1.2.3.4')).
% 3.95/4.48 ncf('1.2.3.4.1.5.2',plain,[-(aInteger0(sdtasdt0(xq, sz00))), aInteger0(xq), aInteger0(sz00)],extension(118 ^ 8,bind([[_69890, _69892], [sz00, xq]]))).
% 3.95/4.48 ncf('1.2.3.4.1.5.2.1',plain,[-(aInteger0(xq))],extension(331 ^ 9)).
% 3.95/4.48 ncf('1.2.3.4.1.5.2.2',plain,[-(aInteger0(sz00))],lemmata('[2, 1].x')).
% 3.95/4.48 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([[_74715, _74982], [xq, sz00]]))).
% 3.95/4.48 ncf('1.2.3.4.2.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 3.95/4.48 ncf('1.2.3.4.2.2',plain,[-(aInteger0(xq)), 254 : aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), 254 : aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(250 ^ 7,bind([[_74067, _74253], [sdtpldt0(xa, smndt0(xb)), xq]]))).
% 3.95/4.48 ncf('1.2.3.4.2.2.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))],extension(340 ^ 10)).
% 3.95/4.48 ncf('1.2.3.4.2.2.2',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('[2, 1].x')).
% 3.95/4.48 ncf('1.2.3.4.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 9)).
% 3.95/4.48 ncf('1.2.3.4.2.4',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 9,bind([[_73031], [xq]]))).
% 3.95/4.48 ncf('1.2.3.4.2.4.1',plain,[-(aInteger0(xq))],lemmata('[4, 3, 2, 1].x')).
% 3.95/4.48 ncf('1.3',plain,[-(xq = sz00), aInteger0(xq), aInteger0(sz00), sdtasdt0(xq, sz00) = sz00, -(sz00 = sz00)],extension(232 ^ 5,bind([[_73599, _73601], [sz00, xq]]))).
% 3.95/4.48 ncf('1.3.1',plain,[-(aInteger0(xq))],extension(258 ^ 6)).
% 3.95/4.48 ncf('1.3.2',plain,[-(aInteger0(sz00))],extension(98 ^ 6)).
% 3.95/4.48 ncf('1.3.3',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(216 ^ 6,bind([[_73031], [xq]]))).
% 3.95/4.48 ncf('1.3.3.1',plain,[-(aInteger0(xq))],lemmata('[1].x')).
% 3.95/4.48 ncf('1.3.4',plain,[sz00 = sz00, -(sdtasdt0(smndt0(xn), sz00) = sdtasdt0(smndt0(xn), sz00)), smndt0(xn) = smndt0(xn)],extension(62 ^ 6,bind([[_68142, _68144, _68146, _68148], [sz00, sz00, smndt0(xn), smndt0(xn)]]))).
% 3.95/4.48 ncf('1.3.4.1',plain,[sdtasdt0(smndt0(xn), sz00) = sdtasdt0(smndt0(xn), sz00), 277 : aInteger0(sz00), 277 : -(aDivisorOf0(smndt0(xn), sdtasdt0(smndt0(xn), sz00))), 277 : aInteger0(smndt0(xn)), 277 : -(smndt0(xn) = sz00), 267 : aInteger0(sdtasdt0(smndt0(xn), sz00))],extension(250 ^ 7,bind([[_74067, _74715, _74982], [sdtasdt0(smndt0(xn), sz00), smndt0(xn), sz00]]))).
% 3.95/4.48 ncf('1.3.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 3.95/4.48 ncf('1.3.4.1.2',plain,[aDivisorOf0(smndt0(xn), sdtasdt0(smndt0(xn), sz00)), 258 : -(aInteger0(smndt0(xn)))],extension(254 ^ 10,bind([[_74253], [smndt0(xn)]]))).
% 3.95/4.48 ncf('1.3.4.1.2.1',plain,[aInteger0(smndt0(xn)), sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa))],extension(350 ^ 13,bind([[_77211], [smndt0(xn)]]))).
% 3.95/4.48 ncf('1.3.4.1.2.1.1',plain,[-(sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)))],extension(348 ^ 14)).
% 3.95/4.48 ncf('1.3.4.1.3',plain,[-(aInteger0(smndt0(xn))), aInteger0(xn)],extension(102 ^ 10,bind([[_69387], [xn]]))).
% 3.95/4.48 ncf('1.3.4.1.3.1',plain,[-(aInteger0(xn))],extension(344 ^ 11)).
% 3.95/4.48 ncf('1.3.4.1.4',plain,[smndt0(xn) = sz00, -(sz00 = smndt0(xn))],extension(4 ^ 10,bind([[_66259, _66261], [sz00, smndt0(xn)]]))).
% 3.95/4.48 ncf('1.3.4.1.4.1',plain,[sz00 = smndt0(xn), -(aInteger0(smndt0(xn))), aInteger0(sz00)],extension(20 ^ 11,bind([[_66776, _66778], [smndt0(xn), sz00]]))).
% 3.95/4.48 ncf('1.3.4.1.4.1.1',plain,[aInteger0(smndt0(xn)), sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa))],extension(350 ^ 12,bind([[_77211], [smndt0(xn)]]))).
% 3.95/4.48 ncf('1.3.4.1.4.1.1.1',plain,[-(sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)))],extension(348 ^ 13)).
% 3.95/4.48 ncf('1.3.4.1.4.1.2',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 3.95/4.48 ncf('1.3.4.1.5',plain,[-(aInteger0(sdtasdt0(smndt0(xn), sz00))), sdtasdt0(smndt0(xn), sz00) = sdtasdt0(smndt0(xn), sz00), aInteger0(sdtasdt0(smndt0(xn), sz00))],extension(20 ^ 8,bind([[_66776, _66778], [sdtasdt0(smndt0(xn), sz00), sdtasdt0(smndt0(xn), sz00)]]))).
% 3.95/4.48 ncf('1.3.4.1.5.1',plain,[-(sdtasdt0(smndt0(xn), sz00) = sdtasdt0(smndt0(xn), sz00))],reduction('1.3.4')).
% 3.95/4.48 ncf('1.3.4.1.5.2',plain,[-(aInteger0(sdtasdt0(smndt0(xn), sz00))), aInteger0(smndt0(xn)), aInteger0(sz00)],extension(118 ^ 9,bind([[_69890, _69892], [sz00, smndt0(xn)]]))).
% 3.95/4.48 ncf('1.3.4.1.5.2.1',plain,[-(aInteger0(smndt0(xn))), aInteger0(xn)],extension(102 ^ 10,bind([[_69387], [xn]]))).
% 3.95/4.48 ncf('1.3.4.1.5.2.1.1',plain,[-(aInteger0(xn))],extension(344 ^ 11)).
% 3.95/4.48 ncf('1.3.4.1.5.2.2',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 3.95/4.48 ncf('1.3.4.2',plain,[-(smndt0(xn) = smndt0(xn)), xn = xn],extension(82 ^ 7,bind([[_68812, _68814], [xn, xn]]))).
% 3.95/4.48 ncf('1.3.4.2.1',plain,[-(xn = xn)],extension(2 ^ 8,bind([[_66152], [xn]]))).
% 3.95/4.48 %-----------------------------------------------------
% 3.95/4.48 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------