© 2000 Todd Neller.  A.I.M.A. text figures © 1995 Prentice Hall.  Used by permission.
Resolution Theorem Proving Example
•KB’ = {P, PÞQ, QÞR, ØR} =
•= (P Ù (ØP Ú Q) Ù (ØQ Ú R) Ù ØR)
1.{P} (KB)
2.{ØP Q} (KB)
3.{ØQ R} (KB)
4.{ØR} (negated goal)
5.{Q} (1,2)
6.{R} (3,5)
7.{} (4,6)  à Contradiction!  Q.E.D.