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: *#(s(x), y) -> *#(x, y) *#(p(x), y) -> *#(x, y) rules: *(0, y) -> 0 *(s(x), y) -> +(*(x, y), y) *(p(x), y) -> +(*(x, y), minus(y)) +(0, y) -> y +(s(x), y) -> s(+(x, y)) +(p(x), y) -> p(+(x, y)) minus(0) -> 0 minus(s(x)) -> p(minus(x)) minus(p(x)) -> s(minus(x)) p(s(x)) -> x s(p(x)) -> x the pairs *#(s(x), 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),(1,1)] Argument Filter: pi(*#/2) = 2 pi(p/1) = 1 pi(s/1) = [1] RPO with the following precedence precedence(s[1]) = 0 precedence(_) = 0 and the following status status(s[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair *#(p(x), y) -> *#(x, y) weakly: [(*#(p(x), y),0),(p(x),1)] >=mu [(*#(x, y),0),(x,1)] could not be ensured