Consider these rules for determining whether a mushroom is poisonous: 1. If a mushroom is poisonous, then it does not have gills. 2. If a mushroom is poisonous, then it is red. 3. If a mushroom is not poisonous, then it has pores. 4. If a mushroom is not poisonous, then it is found growing out of a living tree. 5. If a mushroom is bioluminescent (glows in the dark), then it is poisonous. You find yourself foraging for mushrooms in the forest and find three different mushrooms. - Mushroom A was gathered from the trunk of a living oak tree. It has pores, but it is not clear whether it is some dark shade of red or brown in colour. In the fading light of evening twilight, you notice it emits a faint glowing light. - Mushroom B was gathered from the trunk of a living pine tree. It has pores and is dark brown in colour. You are sure that it is not bioluminescent. - Mushroom C was gathered next to a fallen tree. It is red in colour and has neither pores nor gills. Are any of these mushrooms guaranteed to be safe to eat? Are any of these mushrooms guaranteed to be poisonous? Justify your answers by translating the above rules and characteristics into propositions and using propositional logic