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: app#(app(map, f), app(app(cons, x), xs)) -> app#(f, x) app#(app(map, f), app(app(cons, x), xs)) -> app#(app(map, f), xs) app#(app(treemap, f), app(app(node, x), xs)) -> app#(f, x) app#(app(treemap, f), app(app(node, x), xs)) -> app#(app(map, app(treemap, f)), xs) rules: app(app(map, f), nil) -> nil app(app(map, f), app(app(cons, x), xs)) -> app(app(cons, app(f, x)), app(app(map, f), xs)) app(app(treemap, f), app(app(node, x), xs)) -> app(app(node, app(f, x)), app(app(map, app(treemap, f)), xs)) the pairs app#(app(map, f), app(app(cons, x), xs)) -> app#(f, x) app#(app(map, f), app(app(cons, x), xs)) -> app#(app(map, f), 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(app#) = [(1,0),(2,2)] polynomial interpretration over naturals with negative constants Pol(app#(x_1, x_2)) = 1 + x_2 Pol(app(x_1, x_2)) = x_2 + x_1 Pol(map) = 0 Pol(cons) = 1 Pol(treemap) = 0 Pol(node) = 0 problem when orienting DPs cannot orient pair app#(app(treemap, f), app(app(node, x), xs)) -> app#(f, x) weakly: [(app(treemap, f),0),(app(app(node, x), xs),2)] >=mu [(f,0),(x,2)] could not be ensured