In offline check systems, a client does not have to pay the exact amount. Instead, a client refunds the difference between the check value and the paid amount. In most offline systems, clients can not spend the remainder. But if the refund can be made spendable, it would provide a more convenient payment method. In this paper, we present a new offline system, which allows refunds to be reused as payments. In our system, the shop issues a new check using its private key for the difference. This new check, called the refund check, can be spent in the same way as checks issued by the bank. If the refund check is deposited to, or refunded at the bank, the bank charges the issuer of the check for the amount. The form of a check in this system is much simpler than previous check systems. It also uses a more flexible and efficient denomination method. The refund check is unlinkable to the check used in the payment where the refund check was issued. This system provides coin and owner tracing mechanisms to reinforce controls on illegal use of anonymous checks and was designed with consideration to the atomicity of transactions.