1) Premises: q -> (q &~ q)

            Conclusion: ~q

 

 

 

 

 

 

 

 

 

 

 

 

 

(2) Premises: k & l

            Conclusion: (k – > l) & (l -> k)

 

 

 

 

 

 

 

 

 

 

 

 

 

(3) Premises: p & (q V r), p -> ~r

            Conclusion: q V e

 

 

 

 

 

 

 

 

 

 

 

 

 

(4) Premises: ~(p -> q)

            Conclusion: ~q

 

 

 

 

 

 

 

 

 

 

 

 

 

(5) Premises: (a V b) & (c V d), a -> (e -> (c &d)), c <-> ~d

            Conclusion: e -> b

 

 

 

 

 

 

 

 

 

 

 

 


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