A container processing system, comprising: a plurality of container supporting devices on a rotor provided at predetermined pitches along an outer peripheral portion of the rotor, and configured to support containers; a container supply apparatus configured to supply the containers to the container supporting devices of the rotor; and a control apparatus configured to control operation of the plurality of processing mechanisms and the container supply apparatus, the container supply apparatus including a supply conveyer and a screw, the supply conveyer being configured to convey the containers, the screw being configured to convey the containers on the supply conveyer to a downstream side by causing a spiral groove provided on an outer peripheral surface to engage with the containers, wherein the screw includes a downstream screw and an upstream screw, the downstream screw being disposed on a downstream side in a conveyance direction and being rotated by a first driving mechanism, the upstream screw being disposed on an upstream side in the conveyance direction and being rotated by a second driving mechanism, operation of the first driving mechanism and the second driving mechanism being controlled by the control apparatus, in a case where the containers are supplied to all of the container supporting devices of the container processing apparatus, while the rotor is rotated, the downstream screw and the upstream screw are rotated at same speed, and the containers are conveyed to the downstream side by being caused to engage with a spiral groove provided on outer peripheral surfaces of both the downstream screw and the upstream screw, and in a case where no container is supplied to a specific container supporting device of the container processing apparatus, while the rotor is rotated once, an interval of successive containers engaging with the spiral groove is expanded by decreasing and then increasing the speed of the upstream screw at least once relative to the downstream screw, to supply no container to the specific container supporting device, characterized in that, the container processing system comprises a plurality of processing mechanisms provided on the rotor, corresponding to the respective container supporting devices, and configured to perform predetermined processing on the containers supported by the container supporting devices, wherein in the case where no container is supplied to the specific container supporting device of the container processing apparatus, the interval of the successive containers is expanded by starting deceleration of the upstream screw in a state where the container is positioned at a boundary between the upstream screw and the downstream screw, and then ending acceleration of the upstream screw before a container just adjacent on the upstream side reaches the boundary. a plurality of container supporting devices on a rotor provided at predetermined pitches along an outer peripheral portion of the rotor, and configured to support containers; a container supply apparatus configured to supply the containers to the container supporting devices of the rotor; and a control apparatus configured to control operation of the plurality of processing mechanisms and the container supply apparatus, the container supply apparatus including a supply conveyer and a screw, the supply conveyer being configured to convey the containers, the screw being configured to convey the containers on the supply conveyer to a downstream side by causing a spiral groove provided on an outer peripheral surface to engage with the containers, wherein the screw includes a downstream screw and an upstream screw, the downstream screw being disposed on a downstream side in a conveyance direction and being rotated by a first driving mechanism, the upstream screw being disposed on an upstream side in the conveyance direction and being rotated by a second driving mechanism, operation of the first driving mechanism and the second driving mechanism being controlled by the control apparatus, in a case where the containers are supplied to all of the container supporting devices of the container processing apparatus, while the rotor is rotated, the downstream screw and the upstream screw are rotated at same speed, and the containers are conveyed to the downstream side by being caused to engage with a spiral groove provided on outer peripheral surfaces of both the downstream screw and the upstream screw, and in a case where no container is supplied to a specific container supporting device of the container processing apparatus, while the rotor is rotated once, an interval of successive containers engaging with the spiral groove is expanded by decreasing and then increasing the speed of the upstream screw at least once relative to the downstream screw, to supply no container to the specific container supporting device, characterized in that, the container processing system comprises a plurality of processing mechanisms provided on the rotor, corresponding to the respective container supporting devices, and configured to perform predetermined processing on the containers supported by the container supporting devices, wherein in the case where no container is supplied to the specific container supporting device of the container processing apparatus, the interval of the successive containers is expanded by starting deceleration of the upstream screw in a state where the container is positioned at a boundary between the upstream screw and the downstream screw, and then ending acceleration of the upstream screw before a container just adjacent on the upstream side reaches the boundary.