We can use the first three lines to conclude ~L
1. (S & (S>W)) & (W>~L)
2. W & (W>~L)
3. Therefore ~L
Similarly, we can use the next two lines to conclude ~I
1. D & (D>~I)
2. Therefore ~I
We can now use the above to conclude C
1. (~L & ~I) is equivalent to ~(L v I)
2. ~(L v I) & ((L v I) v C)
3. Therefore C
Now we can conclude using the following:
1. C & (C>B)
2. Therefore B