0.00/0.45 MAYBE 0.00/0.45 0.00/0.45 Problem: 0.00/0.45 lte(x, z) -> true() <= lte(x, y) = true(), lte(y, z) = true() 0.00/0.45 lte(x, x) -> true() 0.00/0.45 max(x, y) -> y <= lte(x, y) = true() 0.00/0.45 max(x, y) -> x <= lte(x, y) = false() 0.00/0.45 lte(x, max(x, y)) -> true() 0.00/0.45 lte(y, max(x, y)) -> true() 0.00/0.45 0.00/0.45 Proof: 0.00/0.45 ConCon could not decide confluence of the system. 0.00/0.45 \cite{GNG13}, Theorem 9 does not apply. 0.00/0.45 0.00/0.46 EOF