CP10 - pred resolution - solution

CP10 - pred resolution - solution - Team: teacher Present:...

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Unformatted text preview: Team: teacher Present: baylor In-Class Exercise: Week 10 Prove Scrooge is not a child 1. Every child loves Santa ∀ c Child(c) ⇒ Loves(c, Santa) ∀ c ¬Child(c) ∨ Loves(c, Santa) ¬Child(c) ∨ Loves(c, Santa) 2. Everyone who loves Satan loves reindeer ∀ p,r (Loves(p, Santa) ∧ Reindeer(r)) ⇒ Loves(p, r) ∀ p,r ¬(Loves(p, Santa) ∧ Reindeer(r)) ∨ Loves(p, r) ∀ p,r ¬Loves(p, Santa) ∨ ¬Reindeer(r) ∨ Loves(p, r) ¬Loves(p, Santa) ∨ ¬Reindeer(r) ∨ Loves(p, r) 3. There is a reindeer with a red nose ∃ rudolph Reindeer(rudolph) ∧ RedNose(rudolph) Reindeer(R) ∧ RedNose(R) 3a. Reindeer(R) 3b. RedNose(R) 4. Anything with a red nose is a clown or weird ∀ t RedNose(t) ⇒ Clown(t) ∨ Weird(t) ∀ t ¬RedNose(t) ∨ Clown(t) ∨ Weird(t) ¬RedNose(t) ∨ Clown(t) ∨ Weird(t) 5. No reindeer is a clown ∀ r Reindeer(r) ⇒ ¬Clown(r) ∀ r ¬Reindeer(r) ∨ ¬Clown(r) ¬Reindeer(r) ∨ ¬Clown(r) ¬Reindeer(r2) ∨ ¬Clown(r2) 6. Scrooge does not love anything that is weird ∀ t Weird(t) ⇒ ¬Loves(Scrooge, t) ∀...
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CP10 - pred resolution - solution - Team: teacher Present:...

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