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  1. This sequent is not provable, counter example: \\
  2. $\mathcal{M} : p = F, q = F, r = F, s = F$ \\
  3. $\mathcal{M} \models (p \land q) \implies (\lnot r \land \lnot s), \lnot r \land \lnot s$ \\
  4. $\mathcal{M} \nmodels p$