Select the Best Translation into Predicate Logic, Using the Following

select the best translation into predicate logic, using the following translation key:
b: Britain
c: Charles
e: Elizabeth
t: Tescos
Px: x is a person
Qx: x is a Queen of England
Wx: x is a woman
Exy: x is more exalted than y
Ixy: x is in y
Pxy: x shops at y
Sxy: x is a son of y
-Charles and his two sons are not the most exalted people in Britain.

A) (∀x) {{Ixb • Px • (∀y) [(Iyb • x≠y) ⊃ Exy]} ⊃ [x≠c • (∀y) (Syc ⊃ x≠y) ]}
B) (∀x) {[Ixb • Px • (∃y) (Exy • Iyb) ] ⊃ [x≠c • (∀y) (Syc ⊃ x≠y) ]}
C) Icb • (∃x) [Px • Ixb • Exc • (∃y) (∃z) (Syc • Szc • Iyb • Izb • y≠z • Exy • Exz) ]
D) Icb • (∃x) [Px • Ixb • (∀y) (Exy) • x≠c • (∃y) (∃z) (Syc • Szc • Iyb • Izb • y≠z • x≠y • x≠z) ]
E) ~(∀x) [(Ixb • Px) ⊃ Ecx] • ~(∀x) (∀y) {Sxc • Syc • (∀z) [(Pz • Izb) ⊃ (Ezx • Eyz) ]}

Correct Answer:

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