HotdogPi obviously finds these problems easy to solve, and wishes to offer more difficult items. His Alice 6 consists of a puzzle several steps in advance of Alice 5, and perhaps it's time to move on to such a problem. In offering items like this based on the work of Raymond Smullyan and other similar authors, my aim was to introduce them to anyone interested. For the benefit of those unfamiliar with this type of logic problem, I wanted to begin with easier items, and then continue with items of gradually increasing complexity, just as Smullyan does in his books. I'll be most interested in any solutions that appear to Alice 6. Meanwhile, I'll be off the air for a time - family illness. Best wishes to you all who've attempted these little puzzles.