A representation by a set of first-order clauses, interpreted as their logical conjunction. General first-order formulas can be transformed by Skolemization and conversion to conjunctive normal form, preserving satisfiability in an expanded first-order signature.
In an expanded signature, Skolemization preserves equisatisfiability rather than equivalence under arbitrary interpretations of the new function symbols.

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  1. First-order clause
  2. First-order logic
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