What is presented is a material processing system for processing tailings discharged from an ore processing system. The tailings comprise coarse waste rock, the fine waste rock, coarse valuable product, and the fine valuable product. The material processing system comprises a classification element, a coarse flotation element, and a fines flotation element arranged to separate the coarse valuable product, the coarse waste rock, the fine valuable product, and the fine waste rock. The classification element separates the coarse waste rock and/or the coarse valuable product from the fine waste rock and/or the fine valuable product. The coarse flotation element separates the coarse waste rock from the coarse valuable product, the fine waste rock, and/or the fine valuable product. The fines flotation element separates the fine valuable product from the coarse waste rock, the fine waste rock, and/or the coarse valuable product.