Having both pulping zone and screening zone, the machine enables to pulp and screen at the same time. Waste paper are conveyed into pre-soaking section and high consistency pulping zone by a conveyor. At 14-18% consistency, along with rotation of the drum, materials are repeatedly lifted to a height by the baffles lined on the interior surface, then dropped against the hard bottom surface. Waste paper can be defibered because of the mild and effective shearing and rubbing force without reducing the size of contaminants like thin films, plastics, grits, rags and other harder rejects. As the drum continuously rotates and slightly inclines, stock goes forward into screening zone after pre-soaking and pulping. When going through screening zone, the stock is diluted to consistency at 3-4% because water runs in from side of the drum. Diluted stock goes into pulp chest through screening holes. Larger rejects are left in screening zone and move forward, finally discharged from the opening at the end of screening zone.