If the ancestral relation requires each link to be a genuine counterfactual dependency, preemption systematically generates counterexamples that cannot be resolved by lengthening the causal chain.

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ancestral relation(in causality and logic): A chain of connections between things where each step links to the next, like how your grandparent's parent connects to your grandparent, who connects to your parent, who connects to you.
causal chain(Avicenna's cosmological argument in Ilāhiyyāt VIII): An ordered series of causes within a given causal type (formal, material, efficient, or final) that Avicenna argues must terminate in a First Cause
counterexample([IHT] arg. 2): A possible obligational situation (casus possibilis positus) that verifies the antecedent and falsifies the consequent of an inference
counterfactual dependency(in causality): When one thing would not have happened if another thing hadn't happened first—like saying 'if the match hadn't been struck, the fire wouldn't have started.'

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