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: f#(g(x, y)) -> f#(x) f#(g(x, y)) -> f#(y) rules: f(a) -> b f(c) -> d f(g(x, y)) -> g(f(x), f(y)) f(h(x, y)) -> g(h(y, f(x)), h(x, f(y))) g(x, x) -> h(e, x) the pairs f#(g(x, y)) -> f#(x) f#(g(x, y)) -> f#(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#) = [(epsilon,0),(1,0)] polynomial interpretration over naturals with negative constants Pol(f#(x_1)) = 1 Pol(g(x_1, x_2)) = 1 + x_2 + x_1 problem when orienting DPs cannot orient pair f#(g(x, y)) -> f#(x) strictly: [(f#(g(x, y)),0),(g(x, y),0)] >mu [(f#(x),0),(x,0)] could not be ensured