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C ∞ S θ T: C is either the daughter or the wife of S, who is either the son or the husband of T
T ÷ S: T is neither the mother nor the wife of S. So, case 3 is invalid.
A ∞ S: A is either the daughter or the wife of S
C => A: C is either the mother or the sister of A
C => N ∀ S: C is either the mother or the sister of N, who is neither the son nor the daughter of S.
So, case 2 is invalid.
K θ N ≡ J ∀ T: K is either the son or the husband of N, who is neither the husband nor the brother of J, who is neither the son nor the daughter of T
Also, J ∞ T: J is either the daughter or the wife of T
So, J is the wife of T. V ∀ K: V is neither the son nor the daughter of K
K Δ V: K is either the father or the brother of V
So, K must be the brother of V.
B Δ V: B is either the father or the brother of V
B ≡ K: B is neither the husband nor the brother of K.
So, B is the father of V and K.
Either both or none of the parents of a person are alive. So, case 1(i) is invalid.
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