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),(1,2),(3,0)] Argument Filter: pi(copy#/3) = 3 pi(s/1) = [1] pi(cons/2) = 2 pi(f/1) = [] pi(nil/0) = [] pi(copy/3) = 1 pi(n/0) = [] RPO with the following precedence precedence(s[1]) = 0 precedence(f[1]) = 1 precedence(nil[0]) = 1 precedence(n[0]) = 1 precedence(_) = 0 and the following status status(s[1]) = lex status(f[1]) = lex status(nil[0]) = lex status(n[0]) = lex status(_) = lex 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),(s(x),2),(z,0)] >mu [(copy#(x, y, cons(f(y), z)),0),(x,2),(cons(f(y), z),0)] could not be ensured