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 below the reduction pair processor 1.1.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: app#(app(mapt, f), app(leaf, x)) -> app#(f, x) rules: app(app(mapt, f), app(leaf, x)) -> app(leaf, app(f, x)) app(app(mapt, f), app(node, xs)) -> app(node, app(app(maptlist, f), xs)) app(app(maptlist, f), nil) -> nil app(app(maptlist, f), app(app(cons, x), xs)) -> app(app(cons, app(app(mapt, f), x)), app(app(maptlist, f), xs)) the pairs app#(app(mapt, f), app(leaf, x)) -> app#(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(app#) = [(1,0),(2,1)] polynomial interpretration over naturals with negative constants Pol(app#(x_1, x_2)) = 1 Pol(app(x_1, x_2)) = x_2 + x_1 Pol(mapt) = 1 Pol(leaf) = 0 problem when orienting DPs cannot orient pair app#(app(mapt, f), app(leaf, x)) -> app#(f, x) strictly: [(app(mapt, f),0),(app(leaf, x),1)] >mu [(f,0),(x,1)] could not be ensured