First do this:

 (~p \/ q) /\ ~r
   T    T      T
   T    T      F
   T    F      T
   T    F      F
   F    T      T
   F    T      F
   F    F      T
   F    F      F 

Then get the ~ just before a letter

 (~p \/ q) /\ ~r
  FT    T     FT
  FT    T     TF
  FT    F     FT
  FT    F     TF
  TF    T     FT
  TF    T     TF
  TF    F     FT
  TF    F     TF 


Erase the ones that we have already finished with


 (~p \/ q) /\ ~r
  F     T     F
  F     T     T
  F     F     F
  F     F     T
  T     T     F
  T     T     T
  T     F     F
  T     F     T 

Now put the ones under the V

 (~p \/ q) /\ ~r
  F  T  T     F
  F  T  T     T
  F  F  F     F
  F  F  F     T
  T  T  T     F
  T  T  T     T
  T  T  F     F
  T  T  F     T

Erase the ones we've used:

 (~p \/ q) /\ ~r
     T        F
     T        T
     F        F
     F        T
     T        F
     T        T
     T        F
     T        T

Now put the ones under the /\

 (~p \/ q) /\ ~r
     T     F  F
     T     T  T
     F     F  F
     F     F  T
     T     F  F
     T     T  T
     T     F  F
     T     T  T 

Erase the ones we've used:

 (~p \/ q) /\ ~r
           F   
           T   
           F   
           F   
           F   
           T   
           F   
           T    

Edwin