Question: The true statements are: phi 1 OR phi 2 is satisfiable Here's why: Satisfiable Formula: A satisfiable formula is true under at least one interpretation

The true statements are:
phi1 OR phi2 is satisfiable
Here's why:
Satisfiable Formula: A satisfiable formula is true under at least one interpretation of its variables.
Implications of phi1 and phi2 being satisfiable:
phi1 OR phi2 must be satisfiable: If phi1 is true for a particular interpretation, then phi1 OR phi2 is also true for that interpretation, regardless of phi2's truth value. Similarly, if phi2 is true, phi1 OR phi2 is true. Therefore, at least one of the possible interpretations will make phi1 OR phi2 true, making it satisfiable.
Other statements are not necessarily true:
NOT phi1 is not necessarily unsatisfiable: It could also be satisfiable. If phi1 is true for some interpretations, then NOT phi1 is false for those interpretations, but it could be true for other interpretations where phi1 is false.
NOT phi2 is not necessarily valid: It could be valid or satisfiable, depending on the specific formula phi2.
phi1 AND phi2 is not necessarily satisfiable: It's only satisfiable if there exists an interpretation where both phi1 and phi2 are true simultaneously. This might not always be the case, even if both formulas are individually satisfiable.
Therefore, the only statement that is always true given the satisfiability of phi1 and phi2 is:
phi1 OR phi2 is satisfiable

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