In this consolidated appeal, Walter R. Miller argues that the District Court 1 erred by revoking his supervised release and by imposing an unreasonable sentence following the revocation. We affirm.
On March 24, 2003, Miller pleaded guilty to one count of converting mortgaged property and one count of conspiring with his wife, Mary I. Miller, to defraud the United States by failing to file employment-tax returns or pay employment taxes from 1994 to 2002. After accepting Miller’s guilty plea on each count, the District Court imposed concurrent sentences of sixteen months’ imprisonment followed by three years’ supervised release. As a special condition of release for both convictions, Miller was required to “cooperate fully” with the Internal Revenue Service (“IRS”) in filing “all tax returns as required by law” (“Special Condition 8”) and to “cooperate with the [IRS] in making full payment of all taxes, interest, and penalties” within one year from the commencement of his supervised release (“Special *913 Condition 9”). Js. at 4. Miller did not seek to clarify or revise either special condition.
In December 2006, Probation Officer Tiller filed a petition to revoke Miller’s supervised release because, contrary to Special Conditions 8 and 9, Miller had not filed his personal tax return for 2005 nor had he paid his outstanding tax obligation to the IRS. After a hearing, the District Court revoked Miller’s supervised release on both the conversion and the employment-tax convictions and sentenced Miller to consecutive terms of fourteen months in prison, followed by concurrent, twenty-month terms of supervised release. The court also re-imposed Special Conditions 8 and 9, and the court added a special condition requiring Miller to pay, jointly and severally with his wife, $2,000 per month toward his IRS debt beginning thirty days after his release from prison (“Special Condition 10”). The court explained that if Miller complied with Special Condition 10, he could avoid future revocation of supervised release for failure to pay his tax obligation.
On appeal, Miller argues that because Special Conditions 8 and 9 were vague, ambiguous, contrary to law, and based on clearly erroneous factual findings, the District Court erred in revoking his supervised release based on a violation of those conditions. Miller also asserts that the District Court erred in revoking his supervised release because the government failed to establish that he violated the conditions of his release. Finally, Miller argues that his sentence is both procedurally flawed and substantively unreasonable.
Miller first argues that the District Court erred in revoking his supervised release based on violations of Special Conditions 8 and 9 because those conditions were vague, ambiguous, and contrary to law. As noted above, however, Miller did not raise any objection to the conditions of his supervised release at the time they were imposed or at any time prior to the filing of the petition for revocation. We reject Miller’s attempt to collaterally attack the validity of his underlying sentence in an appeal of the revocation of his supervised release. A defendant may challenge the validity of his underlying conviction and sentence through a direct appeal or a habeas corpus proceeding, not through a collateral attack in a supervised-release revocation proceeding.
United States v. Johnson,
Miller next argues that the District Court erred in revoking his supervised release because the evidence was insufficient to establish that he violated Special Conditions 8 and 9. A district court may revoke a defendant’s term of supervised
*914
release and impose a sentence of imprisonment if the court finds by a preponderance of the evidence that the defendant violated a condition of his supervised release. 18 U.S.C. § 3583(e)(3). A district court need only find a single violation to revoke a defendant’s supervised release.
See id.
(noting that a district court may revoke supervised release if a defendant “violated a condition” “of that release” (emphasis added)). We review a district court’s decision to revoke supervised release for an abuse of discretion and the court’s underlying “factual findings as to whether a violation occurred” for clear error.
United States v. Ralph,
Special Condition 8 required that Miller “cooperate fully with the [IRS] in [the] filing of all tax returns as required by law.” Js. at 4. A tax return filed with the IRS that does not contain sufficient information from which the IRS can calculate an accurate tax liability is not a tax return filed “as required by law.”
See United States v. Marston,
Based on this testimony and a review of the tax returns themselves, the District Court concluded that the 2000 through 2004 filings did not comply with Miller’s obligation under Special Condition 8 to file “all tax returns as required by law” because the returns were “not accurate” and were not filed in “good faith.” Tr. of Feb. 27, 2007, Rev. Hr’g at 191. Determining that Miller had not complied with Special Condition 8, the court stated that Miller had displayed “absolutely no good faith ..., it’s all bad faith” and had “tried to hoodwink the Court, very frankly, with a shell game as to all these different tax returns.” Tr. of June 18, 2007, Sent. Hr’g at 63-64. The court explained, “As soon *915 as I saw those [2000 through 2004] tax returns ..., I knew that these were fraudulent tax returns. They weren’t worth the paper they were written on.” Id. at 64. We cannot say that the District Court clearly erred in finding that Miller violated Special Condition 8, nor can we say that the court abused its discretion in revoking Miller’s release based on that violation.
Because the District Court did not abuse its discretion in revoking Miller’s supervised release based on a violation of Special Condition 8, we need not consider Miller’s arguments with respect to Special Condition 9. See 18 U.S.C. § 3583(e)(3). But even if we were to consider Miller’s arguments, we would still conclude that the District Court did not abuse its discretion in revoking Miller’s supervised release. Prior to his original sentencing in the conversion and employment-tax cases, Miller deposited $50,000 with the court to be applied to the then $67,000 tax debt related to his employment-tax conviction. Special Condition 9 required that Miller make “full payment of all taxes, interest, and penalties” within one year from the commencement of his supervised release. Js. at 4 (emphasis added). Miller argues that Special Condition 9 required only the payment of the remaining $17,000 balance due to the IRS on the employment-tax conviction. 3 Even if we were to accept Miller’s constricted reading of “all taxes, interest, and penalties,” the evidence nevertheless established that Miller failed to comply with Special Condition 9. Miller paid nothing toward his outstanding employment-tax liability after he deposited the $50,000 partial payment with the court prior to his original sentencing. Miller did not remit any additional payment to the IRS in satisfaction of this obligation 4 — despite the fact that he was found capable of doing so. Tr. of Feb. 21, 2007, Rev. Hr’g at 27-28. Because there remained an outstanding balance of at least $17,000 on Miller’s employment-tax obligation, Miller did not even make “full payment” of the only tax obligation he contends was required to be paid under Special Condition 9.
Miller also argues that because his revocation was based, at least in part, on the court’s determination that Special Condition 9 required the payment in full of roughly $600,000 in outstanding tax liabilities not related to the employment-tax conviction, that condition was impermissibly vague and cannot be the basis for revocation. Again, Miller did not object to Special Condition 9 when it was imposed by the court at his original sentencing, nor did he request that the court clarify or revise the terms he now contends are impermissi-bly vague and ambiguous. As we have already concluded, Miller cannot collaterally attack the validity of his underlying sentence in an appeal of his supervised-release revocation.
In sum, were we to consider Miller’s arguments with respect to Special Condition 9, we would conclude that the District Court did not clearly err in finding that Miller violated the condition, nor did the court abuse its discretion in revoking Miller’s release based on such violation.
Miller next argues that the sentence imposed by the District Court was both procedurally unsound and substantively unreasonable. We review a district court’s revocation sentencing decisions us
*916
ing the same standards that we apply to initial sentencing decisions.
United States v. Cotton,
According to Miller, the District Court committed procedural sentencing error by improperly imposing consecutive sentences, relying on clearly erroneous factual findings, failing to adequately explain the reasons for the sentence imposed, and neglecting to consider alternatives to incarceration. Because Miller did not object to these alleged errors before the District Court, we review them for plain error.
Bain,
Here, the District Court considered the three-to-nine-month revocation sentence recommended under the Guidelines, but elected to impose consecutive fourteen-month terms of imprisonment. Each sentence was within the statutory limits of 18 U.S.C. § 3583(e)(3), and the court had discretionary authority under 18 U.S.C. § 3584 to order that the sentences run consecutively.
See United States v. Baker,
And even if we were to assume that the District Court committed the significant procedural sentencing error alleged by Miller and that such error was plain, we would reject Miller’s arguments because he cannot establish prejudice, i.e., that there is a reasonable probability that the District Court would have imposed a lighter sentence absent the error. Summarizing its displeasure with Miller’s failure to comply with the terms of his supervised release, the court stated:
[W]hen the Court grants leniency to somebody and you come back here with violations, the chances are that your sentence is going to be more severe. The Court takes that into account of course because again it’s an in-your-face deal. It’s not a good idea to repay leniency or mercy with an in-your-face attitude.
Id. at 59. On this record, Miller cannot carry his burden to show that the District Court would have imposed a more lenient sentence absent any assumed plain error in the court’s sentencing procedure.
Miller also argues that the District Court abused its discretion by imposing a sentence that was substantively unreasonable, essentially contending that the court failed to properly weigh the relevant 18 U.S.C. § 3553(a) factors. We review the substantive reasonableness of a revocation sentence “under a deferential abuse-of-discretion standard.”
Gall,
We are satisfied that the District Court considered and gave appropriate weight to the relevant § 3553(a) factors in determining Miller’s revocation sentence. The transcript of the revocation hearing confirms that the court was aware of Miller’s ongoing violations of Special Conditions 8 and 9 and his continued unwillingness to comply with those conditions despite the efforts of the court and the IRS to obtain his compliance. The District Court consid
*918
ered both the Guidelines sentencing range and the statutory maximum sentence before determining that the sentence imposed was necessary to deter Miller’s continued criminal conduct. In addition to presiding over Miller’s revocation sentencing, the District Court also presided over Miller’s initial sentencing. At the revocation hearing, therefore, the court was fully apprised of Miller’s history and characteristics.
See United States v. Franklin,
Finally, Miller argues that the District Court erred by “failing] to comply with the statutory requirement to set a specific amount of restitution.” Br. of Appellant at 60. We are not persuaded. The District Court did not abuse its discretion by requiring as a condition of Miller’s release that he comply with the tax laws and pay the IRS $2,000 per month toward his outstanding tax obligations.
See United States v. Ramsey,
*919 We affirm the District Court s revocation judgment and sentence.
Notes
. The Honorable Charles B. Kornmann, United States District Judge for the District of South Dakota.
. Miller also concedes in his brief that he told IRS Officer Pommer that the 2000 through 2004 returns "might have [had] some inaccurate figures and would need to be amended.” Br. of Appellant at 13.
. We note that because penalties and interest continued to accrue while this balance remained unpaid, the $17,000 figure understates the actual amount due to the IRS with respect to the employment-tax conviction.
. The IRS seized approximately $2,300 from one of Miller’s bank accounts in June 2006. It is unclear whether this money was applied to Miller's employment-tax liability, but Miller did not make any payments voluntarily.
. During the revocation hearing, both the parties and the District Court used the term "restitution” to refer generally to Miller’s obligation to pay his outstanding tax obligation to the IRS. Importantly, the District Court does not characterize this obligation as "restitution” in the revocation judgment.
