F ∀x ¬(∃y p(x,y) ∧ p(x,z)) ∨ ∃y p(x,y) ↑ to the end of the formula 1 Write F in NNF F1 ∀x (∀y ¬p(x,y) ∨ ¬p(x,z)) ∨ ∃y p(x,y) 2 21 2 Rename quantified variables to fresh names F2 ∀x (∀y ¬p(x,y) ∨ ¬p(x,z)) ∨ ∃w p(x,w) ↑ in the scope of ∀x 3# 6 r Ä ç « y/ KNN r Ä ç « 9 S Í ¢ 9 S Í ¢ y Æ « £ 9 S Í ¢ x L ä Ú E t l o s w p î M w ;Answer pq = log(xy) This is a Lagrange's equation whoes general formula is pPqQ=R This can be solved by the formula (dx/P)=(dy/Q)=(dz/R) Here, P=1 ,Q= 1 ,R=log(xy) Now, {dx/1}={dy/1}={dz/log(xy)} From the 1st two ratio, dx= dy => dxdy=0 Integrating above equation we get, xy Cmpe Boun Edu Tr y"P[X ¬w¶ Ìq w"N