What if I can't prove my former tenant never paid a security deposit?

Question Details: About 2.5 years ago, I rented my house to a couple. The rent was $1000 and the security was to be $500. We had a arranged an agreement that they would pay me an additional $100/month until the security amount was reached. They never did that and I foolishly never followed up on it. That was not put into writing. Now they have moved out and are asking for the deposit, claiming to have paid it and first month's rent in cash.

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