Update:
We finally convinced GE that the problem must lie with their equipment. A second elevator was installed and it started tripping the main as well (both elevators already had solid-state controls). An engineer with GE FINALLY showed-up, replaced the input board/monitor associated with the main breaker and the problem disappeared. Before the swap, the equipment was getting worse and would trip the main as many as four times a day (it was quite frustrating for all the trades to have the entire building go dark and dead so often). Since GE installed the replacement, the lights have remained on.