ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.3: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: proper#(f(X)) -> proper#(X) proper#(g(X)) -> proper#(X) proper#(h(X)) -> proper#(X) rules: active(f(X)) -> mark(g(h(f(X)))) active(f(X)) -> f(active(X)) active(h(X)) -> h(active(X)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) h(mark(X)) -> mark(h(X)) h(ok(X)) -> ok(h(X)) proper(f(X)) -> f(proper(X)) proper(g(X)) -> g(proper(X)) proper(h(X)) -> h(proper(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) the pairs proper#(f(X)) -> proper#(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(proper#) = [(epsilon,0),(1,0)] Argument Filter: pi(proper#/1) = [] pi(g/1) = 1 pi(f/1) = [1] pi(h/1) = 1 RPO with the following precedence precedence(proper#[1]) = 0 precedence(f[1]) = 1 precedence(_) = 0 and the following status status(proper#[1]) = lex status(f[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair proper#(g(X)) -> proper#(X) weakly: [(proper#(g(X)),0),(g(X),0)] >=mu [(proper#(X),0),(X,0)] could not be ensured