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: top#(mark(X)) -> top#(proper(X)) top#(ok(X)) -> top#(active(X)) rules: active(c) -> mark(f(g(c))) active(f(g(X))) -> mark(g(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) proper(c) -> ok(c) proper(f(X)) -> f(proper(X)) proper(g(X)) -> g(proper(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) the pairs top#(mark(X)) -> top#(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(top#) = [(epsilon,0),(1,0)] Argument Filter: pi(top#/1) = [] pi(ok/1) = 1 pi(active/1) = 1 pi(mark/1) = [1] pi(proper/1) = [1] pi(c/0) = [] pi(f/1) = [] pi(g/1) = [] RPO with the following precedence precedence(top#[1]) = 2 precedence(mark[1]) = 3 precedence(proper[1]) = 1 precedence(c[0]) = 5 precedence(f[1]) = 4 precedence(g[1]) = 0 precedence(_) = 0 and the following status status(top#[1]) = lex status(mark[1]) = lex status(proper[1]) = lex status(c[0]) = lex status(f[1]) = lex status(g[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair top#(ok(X)) -> top#(active(X)) weakly: [(top#(ok(X)),0),(ok(X),0)] >=mu [(top#(active(X)),0),(active(X),0)] could not be ensured