Every entry in the dictionary that I have found that has the meaning, "false" or "falsehood," is either a prefix (thus can't stand on its own) or has other meanings.
A lie is an intentionally false statement whereas a false statement can be unintentional. For example, someone very uneducated might say that there is no such thing as outer space and believe it; that is a false statement but not a lie. However, every lie is a false statement, but it must be intentional.
Essentially, the only way that I know how to say, "That statement is false," for example, is some variation of「その発言は嘘です。」which would be calling it a lie.