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#(+(x, y)) -> f#(x) f#(+(x, y)) -> f#(y) rules: f(0) -> s(0) f(s(0)) -> s(s(0)) f(s(0)) -> *(s(s(0)), f(0)) f(+(x, s(0))) -> +(s(s(0)), f(x)) f(+(x, y)) -> *(f(x), f(y)) the pairs f#(+(x, y)) -> f#(x) f#(+(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(+(x_1, x_2)) = 1 + x_2 + x_1 problem when orienting DPs cannot orient pair f#(+(x, y)) -> f#(x) strictly: [(f#(+(x, y)),0),(+(x, y),0)] >mu [(f#(x),0),(x,0)] could not be ensured