Some S is not in M.
Substitute for the Major Premiss its Converse by Contraposition, and for the Minor its Formal Obverse or Permutation, and you have FErIO of the First, with not-M as the Middle.
No not-M is in P.
Some S is in not-M,
Some S is not in P.
The processes might be indicated by the Mnemonic FAcsOcO, with c indicating the contraposition of the predicate term or Formal Obversion.
The reduction of BOkArdO,
Some M is not in P
All M is in S
Some S is not in P,