P1.7.9 Here we have another islander problem as in Problem 1.6.9. There are three islanders: A says If B and I are both telling the truth, then so is C", B says If C is telling the truth, then A is lying, and C says It is not the case that all three of us are telling the truth. Using propositional variables a, b, and c to represent the truth of the statements of A, B, and C respectively, we can represent the problem by the three premises a H((a 1 b) + c), b H (c + -a), and c H -(a 1b 1c). Determine the conclusion as a conjunction of three literals, and give a deductive sequence proof of this conclusion from the premises. P1.7.9 Here we have another islander problem as in Problem 1.6.9. There are three islanders: A says If B and I are both telling the truth, then so is C", B says If C is telling the truth, then A is lying, and C says It is not the case that all three of us are telling the truth. Using propositional variables a, b, and c to represent the truth of the statements of A, B, and C respectively, we can represent the problem by the three premises a H((a 1 b) + c), b H (c + -a), and c H -(a 1b 1c). Determine the conclusion as a conjunction of three literals, and give a deductive sequence proof of this conclusion from the premises