Right, it seems to gloss over this rather obviously in the lease example. The 'take rent every month' clause just seems like an overengineered automatic payment system.

The interesting clauses in leases are the ones that require tenants, for example, not to trash the place, and landlords to fix things in a timely fashion, not enter without 24 hours notice, etc. These disputes seem to require a human arbitrator to determine, for example, who's fault the damage to the apartment is.