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