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: after#(s(N), cons(X, XS)) -> after#(N, activate(XS)) rules: activate(n__from(X)) -> from(X) activate(X) -> X after(0, XS) -> XS after(s(N), cons(X, XS)) -> after(N, activate(XS)) from(X) -> cons(X, n__from(s(X))) from(X) -> n__from(X) the pairs after#(s(N), cons(X, XS)) -> after#(N, activate(XS)) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(after#) = [(1,2),(2,2)] Argument Filter: pi(after#/2) = [] pi(s/1) = [1] pi(cons/2) = 2 pi(activate/1) = 1 pi(n__from/1) = [] pi(from/1) = [] RPO with the following precedence precedence(after#[2]) = 1 precedence(s[1]) = 0 precedence(n__from[1]) = 2 precedence(from[1]) = 2 precedence(_) = 0 and the following status status(after#[2]) = lex status(s[1]) = lex status(n__from[1]) = lex status(from[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair after#(s(N), cons(X, XS)) -> after#(N, activate(XS)) strictly: [(s(N),2),(cons(X, XS),2)] >mu [(N,2),(activate(XS),2)] could not be ensured