Machine (18, 19) for processing containers (1) including a base (7) having a high standing ring (8) and a central invertible diaphragm (9), the machine (18, 19) including: a container supporting frame (20) including a hollow support ring (21) for engaging a container base (7), a pusher (26) movable with respect of the container supporting frame (20), capable of coming into abutment with the container base (7) through the supporting frame (20), an actuator (28) for slidingly moving the pusher (26) frontwards towards the container base (7) through the supporting frame (20), and backwards, a strain gauge (29) coupled to the actuator (28) for gauging a strain applied by the actuator (28) to the pusher (26), a control unit (30) including a processor (32) connected to the strain gauge (29) and programmed for comparing a gauged strain value to a memorized strain reference value.