ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.2: error below the reduction pair processor 1.1.2.1: error below the dependency graph processor 1.1.2.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: +#(O(x), O(y)) -> +#(x, y) +#(I(x), O(y)) -> +#(x, y) rules: *(0, x) -> 0 *(x, 0) -> 0 *(O(x), y) -> O(*(x, y)) *(I(x), y) -> +(O(*(x, y)), y) +(0, x) -> x +(x, 0) -> x +(O(x), O(y)) -> O(+(x, y)) +(O(x), I(y)) -> I(+(x, y)) +(I(x), O(y)) -> I(+(x, y)) +(I(x), I(y)) -> O(+(+(x, y), I(0))) O(0) -> 0 the pairs +#(I(x), O(y)) -> +#(x, 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(+#) = [(epsilon,0),(1,2)] polynomial interpretration over naturals with negative constants Pol(+#(x_1, x_2)) = x_2 Pol(I(x_1)) = 1 + x_1 Pol(O(x_1)) = x_1 problem when orienting DPs cannot orient pair +#(O(x), O(y)) -> +#(x, y) weakly: [(+#(O(x), O(y)),0),(O(x),2)] >=mu [(+#(x, y),0),(x,2)] could not be ensured