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#(0, s(y)) -> int#(s(0), s(y)) int#(s(x), s(y)) -> int#(x, y) rules: int(0, 0) -> .(0, nil) int(0, s(y)) -> .(0, int(s(0), s(y))) int(s(x), 0) -> nil int(s(x), s(y)) -> int_list(int(x, y)) int_list(nil) -> nil int_list(.(x, y)) -> .(s(x), int_list(y)) 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 = MS and the level mapping defined by pi(int#) = [(epsilon,0),(2,0)] Argument Filter: pi(int#/2) = [] pi(s/1) = [1] pi(0/0) = [] RPO with the following precedence precedence(int#[2]) = 0 precedence(s[1]) = 1 precedence(0[0]) = 2 precedence(_) = 0 and the following status status(int#[2]) = lex status(s[1]) = lex status(0[0]) = lex status(_) = lex problem when orienting DPs cannot orient pair int#(0, s(y)) -> int#(s(0), s(y)) weakly: [(int#(0, s(y)),0),(s(y),0)] >=mu [(int#(s(0), s(y)),0),(s(y),0)] could not be ensured