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 when applying the reduction pair processor with usable rules to remove from the DP problem pairs: copy#(s(x), y, z) -> copy#(x, y, cons(f(y), z)) rules: copy(0, y, z) -> f(z) copy(s(x), y, z) -> copy(x, y, cons(f(y), z)) f(cons(nil, y)) -> y f(cons(f(cons(nil, y)), z)) -> copy(n, y, z) the pairs copy#(s(x), y, z) -> copy#(x, y, cons(f(y), z)) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(copy#) = [(epsilon,0),(3,1)] polynomial interpretration over naturals with negative constants Pol(copy#(x_1, x_2, x_3)) = x_2 + x_1 Pol(s(x_1)) = 1 + x_1 Pol(cons(x_1, x_2)) = x_2 Pol(f(x_1)) = 0 Pol(nil) = 0 Pol(copy(x_1, x_2, x_3)) = 1 + x_3 + x_2 Pol(n) = 0 problem when orienting DPs cannot orient pair copy#(s(x), y, z) -> copy#(x, y, cons(f(y), z)) strictly: [(copy#(s(x), y, z),0),(z,1)] >mu [(copy#(x, y, cons(f(y), z)),0),(cons(f(y), z),1)] could not be ensured