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: and#(x, or(y, z)) -> and#(x, y) and#(x, or(y, z)) -> and#(x, z) and#(x, and(y, y)) -> and#(x, y) rules: and(x, or(y, z)) -> or(and(x, y), and(x, z)) and(x, and(y, y)) -> and(x, y) and(x, true) -> x and(false, y) -> false and(x, x) -> x or(or(x, y), and(y, z)) -> or(x, y) or(x, and(x, y)) -> x or(true, y) -> true or(x, false) -> x or(x, x) -> x or(x, or(y, y)) -> or(x, y) the pairs and#(x, or(y, z)) -> and#(x, y) and#(x, or(y, z)) -> and#(x, 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(and#) = [(1,3),(2,2)] Argument Filter: pi(and#/2) = 2 pi(or/2) = [1,2] pi(and/2) = 2 RPO with the following precedence precedence(or[2]) = 0 precedence(_) = 0 and the following status status(or[2]) = lex status(_) = lex problem when orienting DPs cannot orient pair and#(x, and(y, y)) -> and#(x, y) weakly: [(x,3),(and(y, y),2)] >=mu [(x,3),(y,2)] could not be ensured