Wyo. Stat. § 1-16-502

When a judgment, including judgments rendered by a circuit court, a transcript of which has been filed in the district court for execution, becomes dormant, it may be revived by the allowance of the court of a motion for revival or by a conditional order of the court that the action be revived. If the order of revival is made by consent of the parties, the action shall be revived. If the order is not made by consent, the order shall be served on the adverse party. When either party to the dormant judgment, his agent or attorney, makes affidavit showing that the adverse party is a nonresident of the state and that the judgment remains unsatisfied in whole or in part and the amount owing thereon, service may be made by publication as in other cases. If sufficient cause is not shown to the contrary, the judgment shall stand revived for the amount which the court finds to be due and unsatisfied thereon. The lien of the judgment for the amount due shall be revived and shall operate from the time of the entry of the conditional order or the filing of the motion.