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Logic & Puzzles

If a CNF formula, representing constraints in a software configuration, contains a clause (A ∨ ¬A ∨ B), which simplification is directly applicable?

A)The formula is unsatisfiable
B)Unit propagation can be initiated
C)Resolution with another clause
D)The clause can be removed

💡 Explanation

The clause (A ∨ ¬A ∨ B) always evaluates to true regardless of the values of A and B, because A ∨ ¬A is a tautology. Therefore, the clause can be removed without changing the satisfiability of the formula, rather than affecting satisfiability or enabling specific solving steps.

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