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. TRAVEL(Santa,

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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