ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: int#(s(x), s(y)) -> int#(x, y) int#(0, s(y)) -> int#(s(0), s(y)) rules: int(s(x), 0) -> nil int(x, x) -> cons(x, nil) int(s(x), s(y)) -> intlist(int(x, y)) int(0, s(y)) -> cons(0, int(s(0), s(y))) intlist(nil) -> nil intlist(cons(x, y)) -> cons(s(x), intlist(y)) intlist(cons(x, nil)) -> cons(s(x), nil) the pairs int#(s(x), s(y)) -> int#(x, y) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MAX and the level mapping defined by pi(int#) = [(1,0),(2,0)] Argument Filter: pi(int#/2) = [1,2] pi(0/0) = [] pi(s/1) = [1] RPO with the following precedence precedence(int#[2]) = 0 precedence(0[0]) = 0 precedence(s[1]) = 0 precedence(_) = 0 and the following status status(int#[2]) = mul status(0[0]) = mul status(s[1]) = mul status(_) = lex problem when orienting DPs cannot orient pair int#(0, s(y)) -> int#(s(0), s(y)) weakly: [(0,0),(s(y),0)] >=mu [(s(0),0),(s(y),0)] could not be ensured