Ohio Rev. Code Ann. § 3307.764
(B) If the person has contributions on deposit with the state teachers retirement system, the retirement system shall, for each year of service credit, transfer to the Cincinnati retirement system the sum of the following:
(C)
(1) If the person has received a refund of accumulated contributions to the state teachers retirement system, the state teachers retirement system shall, for each year of service credit, transfer to the Cincinnati retirement system the sum of the following: