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: f#(c(s(x), y)) -> f#(c(x, s(y))) rules: f(c(s(x), y)) -> f(c(x, s(y))) g(c(x, s(y))) -> g(c(s(x), y)) g(s(f(x))) -> g(f(x)) the pairs f#(c(s(x), y)) -> f#(c(x, s(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(f#) = [(epsilon,0),(1,0)] Argument Filter: pi(f#/1) = [] pi(c/2) = 1 pi(s/1) = [1] RPO with the following precedence precedence(s[1]) = 0 precedence(f#[1]) = 1 precedence(_) = 0 and the following status status(s[1]) = lex status(f#[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair f#(c(s(x), y)) -> f#(c(x, s(y))) strictly: [(f#(c(s(x), y)),0),(c(s(x), y),0)] >mu [(f#(c(x, s(y))),0),(c(x, s(y)),0)] could not be ensured