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Use any/all 18 rules, as well as Indirect and Conditional Proof strategies to solve these practice problems.

Instructions: use any/all 18 rules, as well as Indirect and Conditional Proof strategies to solve these practice problems.

1. 1. (~a V c) & (a V b)
2. (b & e) –> d
3. e
_________________
c V d

2. 1. (a V b) & (c V d) (HINT: try IP inside CP)
2. a –> (e –> (c & d))
3. c <–> ~d
______________________
e –> b

3. 1. (q & ~p) V (~r & q)
2. ((~p –> s) & (~t –> r)) V (p & r)
3. (q V p) –> ~t
_______________________
s

4. 1. ~(~q <–> p)
2. ~r –> (p V q)
3. p –> ~q
_____________________
r

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