A waste disposal system provides a mixing stage where waste matter is water-charged, the water charged mixture is then steam exploded by being sprayed onto a white hot surface in a chamber with only one outlet where the expansion on vaporization forces the vapor out through a chemical spray stage; next a vertical-filter stage removes and gravitationally drains coarse filtrate and finally a horizontal filter stage treats the vapor in the presence of a counterwash spray of fresh water before the vapor is released into the atmosphere; recirculation of the material filtered and treating materials is provided.