0.00/0.58 MAYBE 0.00/0.58 0.00/0.58 Problem: 0.00/0.58 lte(x, z) -> true() <= lte(x, y) = true(), lte(y, z) = true() 0.00/0.58 lte(x, x) -> true() 0.00/0.58 max(x, y) -> y <= lte(x, y) = true() 0.00/0.58 max(x, y) -> x <= lte(x, y) = false() 0.00/0.58 lte(x, max(x, y)) -> true() 0.00/0.58 lte(y, max(x, y)) -> true() 0.00/0.58 0.00/0.58 Proof: 0.00/0.58 ConCon could not decide confluence of the system. 0.00/0.58 \cite{SMI95}, Corollary 4.7 or 5.3 do not apply. 0.00/0.58 0.00/0.59 EOF