Ohio Rev. Code Ann. § 5505.402
(B) A member of the state highway patrol retirement system who has contributions on deposit with the Cincinnati retirement system shall, in computing years of service credit, be given credit for service credit earned for full-time service as a member of the Cincinnati retirement system or purchased or obtained as military service credit if for each year of service, the Cincinnati retirement system transfers to the state highway patrol retirement system the sum of the following:
(C) A member of the state highway patrol retirement system who has received a refund of the member's contributions to the Cincinnati retirement system shall, in computing years of service, be given credit for service credit earned for full-time service as a member of the Cincinnati retirement system or purchased or obtained as military service credit if both of the following occur:
(1) For each year of service, the Cincinnati retirement system transfers to the state highway patrol retirement system the sum of the following: