A machine or system and related method for breaking and reducing the bulk size of one or more objects and comprising: a frame, a reception chamber and a size reduction mechanism. The size reduction mechanism includes a drum rotatably coupled to the frame and configured to oscillate relative to the frame between a first position and a second position about a longitudinal rotational axis; a cutting member coupled to the drum and extending therefrom, the cutting member being configured to penetrate through one or more of the objects in the reception chamber during operation as the drum rotates from the first position to the second position during each oscillation cycle; and a breaking screen comprising a series of spaced breaking members configured to cause further breakdown of the one or more pieces of the one or more objects during operation as the drum rotates toward the second position during each oscillation cycle and forces the one or more pieces against the breaking members. An optional chute may be coupled to the outlet of the machine or system for further compacting and disposing of the bulk material output by the machine.