Discussion
How is entailment related to satisfiability?
Answer: A
The refutation identity turns every entailment question into a satisfiability question, which is why resolution proves theorems by deriving a contradiction from the premises together with the negated goal. Joint satisfiability is a much weaker condition, and the conclusion's own satisfiability says nothing. Converting a question about all models into a question about the existence of one is what makes automated theorem proving practical. The shared properties explain why these belong to one family, and the differences explain why more than one exists.
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