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A superredundant clause is a clause that is redundant in the resolutionclosure of a formula. The converse concept of superirredundancy ensuresmembership of the clause in all minimal CNF formulae that are equivalent to thegiven one. This allows for building formulae where some clauses are fixed whenminimizing size. An example are proofs of complexity hardness of the problemsof minimal formula size. Others are proofs of size when forgetting variables orrevising a formula. Most clauses can be made superirredundant by splitting themover a new variable.

Superredundancy: A tool for Boolean formula minimization complexity analysis