what I did was test the battery on another inverter and they didn't drop so rapidly like the other one..though not the same specs of inverterI would do an equalizing charge and test the batteries individually. 100 AH at the 20 hour rate is like a constant 5 amperes for the whole 20 hours.
You can build a disconnect circuit that would disconnect the load when the battery reaches the low cell limit, and stop a counter that would display the elapsed time.