Question: Consider the following statements: (a) Convert the statements into conjunctive normal form. 1. Vx Vy Vz (CHILD(x) A PRESENT(y) A GIVE(z.y,x) - LOVES(x,z) 2.

Consider the following statements: (a) Convert the statements into conjunctive normal form.

Consider the following statements: (a) Convert the statements into conjunctive normal form. 1. Vx Vy Vz (CHILD(x) A PRESENT(y) A GIVE(z.y,x) - LOVES(x,z) 2. TRAVEL(Santa, Christmas) - Vx (CHILD(x) - 3y (PRESENT(y) A GIVE(Santa,y,x))) 3. FOGGY(Christmas) 4. VxVt(FOGGY(t) (3y (LIGHT(y) A HAS(x.y)) - TRAVEL(x,t)) 5. Vx (RNR(x) LIGHT(x)) (b) Prove (3x (RNR(x) A HAS(Santa,x))) -Vy (CHILD(y) - LOVES(y,Santa)) using resolution with refutation (contradiction)?

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