The project is located in Massachusetts -- so north-east USA. Typical frost-heave depth around here is 3.5 - 4 feet. And there's definitely area on the other side of the ledge where the pump can discharge away from the house.
So client's house was built at the very end of a large V-shaped granite ledge that (guess what) slopes towards the house. They tried to mitigate basement water issues over the years with all kinds of things (outside + inside) but still not satisfactory. Here's sketch of the overall topography...
