Non-matching Name

Alice and Bob invented a brand-new algorithm - but they can't decide what to name it! Alice suggested the name $S_A$, and Bob suggested the name $S_B$. ($S_A$ and $S_B$ are both strings of lowercase English letters.) However, Alice thinks Bob's naming sense is really bad - she'll only be happy if the name given to the algorithm is not close to $S_B$ at all. More specifically, Alice will be hap