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 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#(or(y, z), x) -> and#(x, y) and#(or(y, z), x) -> and#(x, z) rules: and(x, or(y, z)) -> or(and(x, y), and(x, z)) and(or(y, z), x) -> or(and(x, y), and(x, z)) not(not(x)) -> x not(or(x, y)) -> and(not(x), not(y)) not(and(x, y)) -> or(not(x), not(y)) the pairs and#(x, or(y, z)) -> and#(x, y) and#(x, or(y, z)) -> and#(x, z) and#(or(y, z), x) -> and#(x, y) and#(or(y, z), x) -> 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#) = [(epsilon,0),(1,0)] Argument Filter: pi(and#/2) = 2 pi(or/2) = [1,2] 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#(or(y, z), x) -> and#(x, y) strictly: [(and#(or(y, z), x),0),(or(y, z),0)] >mu [(and#(x, y),0),(x,0)] could not be ensured