Abstract: An incineration system for processing solid waste refuse. A rigid, upright gas fired furnace reacts waste. The furnace comprises a rigid, generally cubicle outer shell having a rigid firebox disposed substantially concentrically therewithin, and a cooling annulus is defined between the firebox and the shell. The firebox bottom is tapered. Solid waste inputted into the firebox at the top of the furnace falls into the gas fired interior, and wastes are vigorously agitated and split apart by a plurality of rotating spindles. Cooperating, spaced-apart gas manifolds provide a flame front. A vigorously oscillated, shaker grating system disposed beneath the spindles forms a bed upon which flames are directed. During the garbage reduction process the treated residue falls towards down into the tapered bottom of the furnace. Waste hitting the vibrating gratings is separated and agitated for chemical oxidation, and ashes accummulating at the furnace bottom are withdrawn and disposed of as solid waste.