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 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 below the reduction pair processor 1.1.1.1.1.1.1.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: D#(b(x, y)) -> D#(x) D#(b(x, y)) -> D#(y) rules: D(t) -> s(h) D(constant) -> h D(b(x, y)) -> b(D(x), D(y)) D(c(x, y)) -> b(c(y, D(x)), c(x, D(y))) D(m(x, y)) -> m(D(x), D(y)) D(opp(x)) -> opp(D(x)) D(div(x, y)) -> m(div(D(x), y), div(c(x, D(y)), pow(y, 2))) D(ln(x)) -> div(D(x), x) D(pow(x, y)) -> b(c(c(y, pow(x, m(y, 1))), D(x)), c(c(pow(x, y), ln(x)), D(y))) b(h, x) -> x b(x, h) -> x b(s(x), s(y)) -> s(s(b(x, y))) b(b(x, y), z) -> b(x, b(y, z)) the pairs D#(b(x, y)) -> D#(x) D#(b(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(b(x_1, x_2)) = 1 + x_2 + x_1 problem when orienting DPs cannot orient pair D#(b(x, y)) -> D#(x) strictly: [(D#(b(x, y)),0),(b(x, y),0)] >mu [(D#(x),0),(x,0)] could not be ensured