ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the reduction pair processor 1.1.1: error below the reduction pair processor 1.1.1.1: error below the reduction pair processor 1.1.1.1.1: error below the reduction pair processor 1.1.1.1.1.1: error below the reduction pair processor 1.1.1.1.1.1.1: error below the reduction pair processor 1.1.1.1.1.1.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: D#(+(x, y)) -> D#(x) D#(+(x, y)) -> D#(y) rules: D(t) -> 1 D(constant) -> 0 D(+(x, y)) -> +(D(x), D(y)) D(*(x, y)) -> +(*(y, D(x)), *(x, D(y))) D(-(x, y)) -> -(D(x), D(y)) D(minus(x)) -> minus(D(x)) D(div(x, y)) -> -(div(D(x), y), div(*(x, D(y)), pow(y, 2))) D(ln(x)) -> div(D(x), x) D(pow(x, y)) -> +(*(*(y, pow(x, -(y, 1))), D(x)), *(*(pow(x, y), ln(x)), D(y))) the pairs D#(+(x, y)) -> D#(x) D#(+(x, y)) -> D#(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(D#) = [(epsilon,0),(1,0)] polynomial interpretration over naturals with negative constants Pol(D#(x_1)) = 1 Pol(+(x_1, x_2)) = 1 + x_2 + x_1 problem when orienting DPs cannot orient pair D#(+(x, y)) -> D#(x) strictly: [(D#(+(x, y)),0),(+(x, y),0)] >mu [(D#(x),0),(x,0)] could not be ensured