Just by many years of experience. I did work in this industry.
O.k. Your flow should not exceed 20 GPM. Otherwise the friction loss will be too high with a 6" pipe. With 200 feet the pressure will be around 435 psi, assuming your sludge is mainly of municipal source and poylmere conditioned. 435 psi excludeds a progressive cavity pump, regardless what manufacturers may tell you. The only pump which can handle that is a hydraulically driven duplex piston pump. Weir, ABEL, Saxlund, Putzmeister manufacture such pumps. It is very expensive but the only pumping solutions which exists for this pressure.
I suppose you checked the alternative with mechanical conveyors? But that will only make sense if there won't be many changes in direction. Otherwise this option becomes expensive, too.