Question:  Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)
(A ∨ B) ∨ C
~C
~A ⊃ B
A: Inconsistent
B: Consistent. Consistent valuation when A and B are true and C is false
C: Consistent. Consistent valuation when A and C are true and B is false
D: Consistent. Consistent valuation when B and C are true and A is false
Please eliminate two incorrect options first, then think it step by step and choose the most proper one option. Provide response in all capital letters, no lowercase letters allowed.
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