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: f#(mark(X1), X2) -> f#(X1, X2) f#(X1, mark(X2)) -> f#(X1, X2) f#(active(X1), X2) -> f#(X1, X2) f#(X1, active(X2)) -> f#(X1, X2) rules: active(f(g(X), Y)) -> mark(f(X, f(g(X), Y))) f(mark(X1), X2) -> f(X1, X2) f(X1, mark(X2)) -> f(X1, X2) f(active(X1), X2) -> f(X1, X2) f(X1, active(X2)) -> f(X1, X2) g(mark(X)) -> g(X) g(active(X)) -> g(X) mark(f(X1, X2)) -> active(f(mark(X1), X2)) mark(g(X)) -> active(g(mark(X))) the pairs f#(active(X1), X2) -> f#(X1, X2) 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),(1,1)] Argument Filter: pi(f#/2) = [] pi(mark/1) = 1 pi(active/1) = [1] RPO with the following precedence precedence(f#[2]) = 0 precedence(active[1]) = 1 precedence(_) = 0 and the following status status(f#[2]) = lex status(active[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair f#(mark(X1), X2) -> f#(X1, X2) weakly: [(f#(mark(X1), X2),0),(mark(X1),1)] >=mu [(f#(X1, X2),0),(X1,1)] could not be ensured