SAT solvers usually expect boolean formulas in this form, because they are specialized to solve problems in this form efficiently. I decided to use this form to validate results of the LLM output with a SAT solver.
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This formula is satisfiable because if we set to b to true and a to false, then the whole formula is true. All other assignments make the formula false, but it doesn't change that the formula is satisfiable as long as there is at least one assignment makes the formula true.