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Distributed systems are hard to design and implement correctly. Recent work has tried to use formal verification techniques to provide rigorous correctness guarantees. These works present a hard choice, though. One must either opt for the power of refinement-based approaches like IronFleet and Verdi, at the cost of large amounts of manual effort; or choose the more automated approach of I4, IC3PO, SWISS and DistAI which give up the ability to prove refinement and the power and scalability that come with it. We propose an alternative approach, Sift, that combines the power of refinement with the ability to automate proofs. Sift is a two-tier methodology that uses a new technique, refinement-guided automation, to leverage automation in a refinement proof and a divide-and-conquer technique to split a system into more refinement layers when necessary. This combination advances the frontier of what systems can be proven correct using a high degree of automation. Contrary to what was possible before, our evaluation shows that our novel approach allows us to prove the correctness of a number of systems with little manual effort, and to extend our proofs to include not just the protocols, but also an executable distributed implementation of these systems.