Based on the given statements, we can conclude:
If X, then not Y: This means that if X is true, then Y cannot be true.
If not Y, then Z: This means that if Y is not true, then Z must be true.
We are also given the information that Y is true. Therefore, we can conclude that:
Y is true, so not X: Since Y is true, X cannot be true, according to the first statement.
If not Y, then Z: Since Y is true, we cannot conclude anything about Z. However, we do know that Y cannot be false.
So the final conclusion is that X is false and Y is true, but we don't have enough information to determine whether Z is true or false.