Question: Logic for Computer Science: Consider the following properties of binary relations: x(R(x,x) yR(x,y)) (3.1) xy(R(x,y) R(y,x)) (3.2) xy(R(y,x)) (3.3) x(R(x,x)) (3.4) Prove by resolution refutation

Logic for Computer Science:

Consider the following properties of binary relations: x(R(x,x) yR(x,y)) (3.1) xy(R(x,y) R(y,x)) (3.2) xy(R(y,x)) (3.3) x(R(x,x)) (3.4) Prove by resolution refutation that (3.4) is a logical consequence of the conjunction of (3.1), (3,2), and (3.3).

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