0.00/0.50 YES 0.00/0.50 0.00/0.50 Problem: 0.00/0.50 even(0()) -> true() 0.00/0.51 even(s(x)) -> true() <= odd(x) = true() 0.00/0.51 odd(s(x)) -> true() <= even(x) = true() 0.00/0.51 0.00/0.51 Proof: 0.00/0.51 This system is confluent. 0.00/0.51 By \cite{SMI95}, Corollary 4.7 or 5.3. 0.00/0.51 This system is oriented. 0.00/0.51 This system is of type 3 or smaller. 0.00/0.51 This system is right-stable. 0.00/0.51 This system is properly oriented. 0.00/0.51 This is an overlay system. 0.00/0.51 This system is left-linear. 0.00/0.51 All 0 critical pairs are trivial or infeasible. 0.00/0.51 0.00/0.51 EOF