Inference in FOL

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King(John) ∧ Greedy(John) ⇒ Evil(John)
King(Richard) ∧ Greedy(Richard) ⇒ Evil(Richard)
King(Father(John)) ∧ Greedy(Father(John)) ⇒ Evil(Father(John))
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Standardize Apart: Change the name of variables
so sentences don't have any in common
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What if you have to unify(a,F(a))? -- fail
This makes algorithm O(n2)
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Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
Animal(F(x)) ∨ Loves(G(x),x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
Animal(F(x)) ∨ Loves(G(x),x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
Animal(Tuna)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
Animal(F(x)) ∨ Loves(G(x),x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(Tuna)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
¬Loves(z,Jack)
¬Loves(z,Jack)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Animal(F(Jack)) ∨ Loves(G(Jack),Jack)
¬Loves(z,Jack)
Animal(F(x)) ∨ Loves(G(x),x)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
Animal(F(x)) ∨ Loves(G(x),x)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Animal(F(Jack)) ∨ Loves(G(Jack),Jack)
¬Loves(z,Jack)
Animal(F(x)) ∨ Loves(G(x),x)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
¬Loves(z,Jack)
Animal(Tuna)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Animal(F(Jack)) ∨ Loves(G(Jack),Jack)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
Animal(F(x)) ∨ Loves(G(x),x)
¬Animal(F(Jack)) ∨ Loves(G(Jack),Jack)
¬Loves(z,Jack)
Loves(G(Jack),Jack)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
Animal(F(x)) ∨ Loves(G(x),x)
Loves(G(Jack),Jack)
Cat(Tuna) ¬Cat(x) ∨ Animal(x) Kills(Jack,Tuna) ∨ Kills(Curiosity,Tuna) ¬Kills(Curiosity,Tuna)
Animal(Tuna)
¬Kills(x,Tuna) ∨ ¬Loves(z,x)
¬Loves(z,Jack)
¬Loves(x,F(x)) ∨ Loves(G(x),x) ¬Animal(x) ∨ Loves(Jack,x)
¬Animal(F(Jack)) ∨ Loves(G(Jack),Jack)
Loves(G(Jack),Jack)
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¬Animal(y) ∨ ¬Kills(x,y) ∨ ¬Loves(z,x) Kills(Jack,Tuna)
Animal(F(x)) ∨ Loves(G(x),x)
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