We consider an instance of the protocol where there are two sites, called Site 0 and Site 1. Each site is selling tickets for the same concert, and at most N tickets can be sold. In order to enforce the constrain that the number of sold tickets is always no larger than N, the two sites use a demarcation protocol, as follows.
Each site is allotted a certain number of tickets that it can sell without interacting with the other site. Let these two limits be L(1) and L(2). The intention is that L(1) + L(2) = N, but this is only a "fuzzy goal": obviously in a distributed system we cannot ensure that L(1) and L(2) change simultaneously, so this equality will not always hold. Most likely, though, in your implementation L(1) + L(2) <= N should hold. Initially, set L(1) = L(2) = N/2.
Each of Site i, for i=1,2, must process two kind of transactions: ticket sales, and ticket returns (a person gives back the ticket and gets a refund). If the transaction does not cause the site to sell more than L(i) tickets, it can do so without communicating with the other site. Let also S(i) be the number of tickets that have been sold at site i=1,2.
If the transaction would cause the site to exceed its limit L(i) of tickets sold, then it issues the other site a request to increase L(i) by some amount G (G not necessarily 1: it can be more efficient to ask for more). If the other site (Site 1-i) can grant the request (when L(i-1) - S(1-i) is at least G), then it does so. If it cannot grant it in full, it may (at your discretion) try to grant it partially. In any instance, Site 1-i returns to Site i some amount of tickets that can be added to L(i), and Site i tries then to complete the transaction.
The properties you should verify are: absence of deadlocks, and S(1) + S(2) <= N. You may have noticed that, since Site 1 and Site 2 are implemented in different threads that share no memory, you cannot write "S(1) + S(2) <= N" as an invariant to be checked by Verisoft. My suggestion would be to implement a single process (a 5th thread) that acts as the customers, issuing buy and return transactions to Site1 and Site2. You can then use an assertion that states that this 5th thread never has more than N unreturned ticket.