[proof-new] Making the CDCL(T) Minisat proof producing (#5669)

[proof-new] Making the CDCL(T) Minisat proof producing (#5669)

This closely follows the old proof code in terms of where Minisat is hooked to the SatProofManager, other than a few places like registering removed clauses and removal of redundant literals. Note that this together with the thorough handling from SatProofManager makes the new SAT proofs perceptibly more robust than the old ones.

This PR also adds some traces to better track what Minisat does.