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: a#(l, x, s(y), h) -> a#(l, x, y, s(h)) a#(l, x, s(y), s(z)) -> a#(l, x, y, a(l, x, s(y), z)) a#(l, x, s(y), s(z)) -> a#(l, x, s(y), z) a#(l, s(x), h, z) -> a#(l, x, z, z) rules: *(h, x) -> h *(x, h) -> h *(s(x), s(y)) -> s(+(+(*(x, y), x), y)) +(x, h) -> x +(h, x) -> x +(s(x), s(y)) -> s(s(+(x, y))) +(+(x, y), z) -> +(x, +(y, z)) a(h, h, h, x) -> s(x) a(l, x, s(y), h) -> a(l, x, y, s(h)) a(l, x, s(y), s(z)) -> a(l, x, y, a(l, x, s(y), z)) a(l, s(x), h, z) -> a(l, x, z, z) a(s(l), h, h, z) -> a(l, z, h, z) s(h) -> 1 the pairs a#(l, s(x), h, z) -> a#(l, x, z, 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(a#) = [(epsilon,0),(2,0)] polynomial interpretration over naturals with negative constants Pol(a#(x_1, x_2, x_3, x_4)) = 1 Pol(s(x_1)) = 1 + x_1 Pol(a(x_1, x_2, x_3, x_4)) = x_4 + x_3 + x_1 Pol(h) = 0 Pol(1) = 1 problem when orienting DPs cannot orient pair a#(l, x, s(y), h) -> a#(l, x, y, s(h)) weakly: [(a#(l, x, s(y), h),0),(x,0)] >=mu [(a#(l, x, y, s(h)),0),(x,0)] could not be ensured