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.
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Ultimately, the most rigorous traceability solutions, including QR codes and microchips, won't be useful if people don't actually check them as a condition of making their purchases. Imitators can simply counterfeit QR code labels, for example.
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