There are six switches S, T, W, X, Y, and Z in a circuit. The following conditions must be met to use these switches: (1) If W is turned on, then X should also be turned on; (2) Only when S is turned off , thenT can also be turned off; (3) T and X cannot be turned on at the same time, nor can they be turned off at the same time; (4) If Y and Z are turned on at the same time, W must also be turned on.
If both S and Z are now turned on, T is turned on and Y is turned off must be true.