ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.2: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: active#(f(f(a))) -> mark#(f(g(f(a)))) mark#(f(X)) -> active#(f(X)) rules: active(f(f(a))) -> mark(f(g(f(a)))) f(mark(X)) -> f(X) f(active(X)) -> f(X) g(mark(X)) -> g(X) g(active(X)) -> g(X) mark(f(X)) -> active(f(X)) mark(a) -> active(a) mark(g(X)) -> active(g(mark(X))) the pairs mark#(f(X)) -> active#(f(X)) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(mark#) = [(epsilon,0),(1,0)] pi(active#) = [(epsilon,0),(1,0)] Argument Filter: pi(mark#/1) = [] pi(f/1) = 1 pi(active#/1) = [] pi(a/0) = [] pi(g/1) = [] pi(active/1) = 1 pi(mark/1) = 1 RPO with the following precedence precedence(mark#[1]) = 1 precedence(active#[1]) = 0 precedence(a[0]) = 1 precedence(g[1]) = 0 precedence(_) = 0 and the following status status(mark#[1]) = lex status(active#[1]) = lex status(a[0]) = lex status(g[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair active#(f(f(a))) -> mark#(f(g(f(a)))) weakly: [(active#(f(f(a))),0),(f(f(a)),0)] >=mu [(mark#(f(g(f(a)))),0),(f(g(f(a))),0)] could not be ensured