Nope, that doesn’t do it. Maybe I can explain it a little better.
Previously we had only used switch A to control the lights. B and C are in relatively distant parts of the basement. At some point in the weekend, the downstairs guests were using B and C to switch the lights on and off. By the end of the weekend, all the lights were off. Switch A was in the down (off) position. B was also down but C was up. Now, whatever combination of switches I flip, one switch is always in the opposite position.
Right now, for example, the three switches are in down/up/down position, and the lights are off. I need to find the sequence to flip that eventually ends up with all the switches in down position, with the lights off.