对场所进行检查的，经县级以上人民政府公安机关负责人批准，使用检查证检查；对确有必要立即进行检查的，人民警察经出示人民警察证，可以当场检查，并应当全程同步录音录像。检查公民住所应当出示县级以上人民政府公安机关开具的检查证。
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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.