ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: f#(x, y) -> g#(x, y) g#(h(x), y) -> f#(x, y) g#(h(x), y) -> g#(x, y) rules: f(x, y) -> g(x, y) g(h(x), y) -> h(f(x, y)) g(h(x), y) -> h(g(x, y)) the pairs f#(x, y) -> g#(x, y) g#(h(x), y) -> f#(x, y) g#(h(x), y) -> g#(x, y) 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#) = [(1,4),(2,0)] pi(g#) = [(epsilon,0),(1,0)] polynomial interpretration over naturals with negative constants Pol(f#(x_1, x_2)) = 0 Pol(g#(x_1, x_2)) = x_2 Pol(h(x_1)) = 1 + x_1 problem when orienting DPs cannot orient pair f#(x, y) -> g#(x, y) strictly: [(x,4),(y,0)] >mu [(g#(x, y),0),(x,0)] could not be ensured