Neb. Rev. Stat. § 54-404: Neb. Rev. Stat. § 54-404

If the owner of such stock shall refuse, within forty-eight hours after having been notified in writing, to pay the damages claimed or appoint an arbitrator to represent his interests, the animal or animals shall be sold upon execution as required by law, when the amount of damages and costs have been filed with the county court of the county within which the damages have been sustained.