Membership in the pension fund shall cease upon the occurrence of any one of the following conditions:
1. When the time out of city-service, other than time on a preferred civil service list, of any member who has resigned or has been separated from the service through no fault of his or her own, and who has total service of less than twenty-five years, shall aggregate more than five years in any period not exceeding ten consecutive years since he or she last became a member.
2. When any member shall have withdrawn more than one-quarter of his or her accumulated deductions.
3. When any member shall die.
4. When any member shall be retired on a pension.
5. When any member becomes eligible to participate in another pension or retirement system supported in whole or in part by the city or state of New York.