The process of Fair Division of Inheritance.

The process starts when the State establishes the death and the identity of an individual with a death certificate.
The State then publicly announces the death of an individual via official public channels. The public announcement is in some form of a broadcast of a signal (for example the Journal of State News Events).

If a Designated time has passed from death announcement and no inheritance claims have surfaced, then the State will Confiscate the property of the deceased to the State.

The lawyer managing the Inheritance takes notice.
(NB! In the future, the Lawyer might be enacted by a designated software intelligent agent.)
The Lawyer verifies the authenticity of the event.
If the event turns out to be false (that is usually established with an inquiry to the state authorities who send back a reply in a Message), then end the process with the pretext of False alarm.

If the event is authentic, then based on the will of the deceased the lawyer Registers an Auction in a Clearinghouse, by using a web service operation (Create an Auction). Auction participant accounts will also be created (Add a Participant).
The Lawyer will Notify participants of the event and of the auction (with a message).

Participant will get a notification of an inheritance Auction, the message also includes the Will and the list of Inheritors. Participant will read the notification. Participate will decide on his/her preferences. Participant will Submit preferences to the Clearinghouse (and/or use a web service for that).

Clearinghouse will Register participant preferences if/when any involved auction participant submits them. It is a recurring subprocess, started by a Message Start Event. The repeat of the process is ended either when all participants have submitted their preferences or when the deadline for submitting has arrived.
Clearinghouse will Compute the solution based on the submitted preferences by using a predetermined fair division method (Knaster; Brams-Taylor; or other). Clearinghouse will Notify participants and the Notary of the computed Solution.

Auction Participant receives the Solution and Reads of the inheritance division solution.

Notary notifies the State of the Solution and closes the inheritance managing case.

The State Decides whether to recognize the solution. The decision activity (it is actually a process, but I wanted to show it as a Business Rule task) ends with a Decision 1. Decision 1 is followed by a complex gate. If the Decision 1 was positive and no interdepartmental memos have demanded otherwise, then the State will Register property transfer according to the Solution and Decision 1. Registering property transfer is a subprocess, it also contains sending notifications to new owners of the property transfer records.

Regardless of an arrival of any possible inheritance division Solution since death announcement, if any interdepartmental memo arrives requiring a property confiscation, then the State will Confiscate the property of the deceased to the State. If the Inheritance division Solution has been presented, but an interdepartmental memo requiring property confiscation has also arrived, then the State will Decide in light of new information to Confiscate the property of the deceased to the State.
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The reasons why this process model is divided into individual pools for each Role are the following:

1. The State has to proceed even in case no inheritors and notaries make inheritance claims and inheritance division Solutions. And the start of the process between the State and the Notary are usually loosely coupled via the official public announcement.

2. There is usually one Notary representative, but many inheritors (Auction participants). 1:M actors (or subprocesses) are often modeled by using separate pools.

3. There is one Clearinghouse for one Auction, but many participants in one Auction.

4. There is one Notary managing one Will, but the Notary might use many different Clearinghouses for the fair division process, because different Clearinghouses might use different fair division algorithms / mechanisms. In that case, however, either the Notary or all the Participants would have to decide on which Chearinghouse Solution to submit to the State.