Abstract: Disclosed herein is a non-clog shredder that is used to shred solid matter entrained in a non-homogenous liquid-solid feed. In one embodiment of the invention, the shredder is located at the bottom of a toilet bowl and is used to shred solid disposable products such as napkins and diapers that are discarded in the toilet bowl. The shredder comprises a generally cylindrical cup that is open at one end, with a circular end-cap at the other end. The end-cap has an axial opening that allows the feed to pass through the cup. In one embodiment of the invention, the opening has recesses and/or teeth on the periphery of the opening. An impeller disposed against the circular end plate creates suction for transfer of the waste through the shredder. A cutting blade on the impeller assembly projects axially through the opening in the end-cap.