Line/ ladder (?) Diagram above.. I'm not too good with making drawings but I like to work it out this way to make sure things'll work out on site.
The 4 timeclocks control 2 rooms. Only 1 (same) room can be on at a time. Being inductive loads, one room turns on half, 10 minutes before the other half. When that happens it's not possible for the other room to be on, thanks to the auxiliary relays.
Hours later the first half turns off, then 10 minutes later the second half of the room (turns off). Then after about ten minutes, half the second room turns on then the other half another ten minutes later.
If for whatever reason the first room was to turn on; the second would turn off automatically (overide). The second room however can not overide the first but the interlocking /physically not possible part is still achieved.