Abstract: I will present a new counterexample to the Principle of the Identity of Indiscernibles in the form of a world allowing for incompatible time-lines (or histories). The toy-universe I will be working with will be interpreted according to the Branching Space-Time Theory, presented for the first time in Belnap (1992). In this sense, I aim to show that Belnap’s Theory, when interpreted as a strong metaphysical theory of indeterminism, admits the construction of scenarios contravening PII. The counterexample I will be presenting will be tested against the three most famous lines of defence of the Principle, as presented in Hawley (2009): the identity defence, the discerning defence, and the summing defence. It will be shown that, unlike other alleged counterexamples to PII, it proves successful against all these lines of defence.