Hobbes's scenario stipulates that the original planks are reassembled into a ship, creating a rival candidate with equal or stronger claim to identity with O via spatiotemporal and material continuity.

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Hobbes: # Hobbes Thomas Hobbes was an English philosopher from the 1600s who wrote about how governments and society should work. He is most famous for arguing that without a strong ruler or government, human life would be chaotic and dangerous—a state he called "the war of all against all." His ideas greatly influenced modern thinking about why we need laws, governments, and social order to protect people from harming each other.
Identity(Adams treats identity statements as a variety of atomic formula rather than a logical truth exempt from existence presuppositions): A relation between an object and itself, expressed as an atomic formula (a=a), subject to the same existence-entailment conditions as other atomic predicates under GSA
Material continuity(another reason to claim something is the same ship): The idea that something is the same object if it's made from the same physical stuff—like a ship being the same because it's made from the same original wood.
Rival candidate(describing the two ships in competition)

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