ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the reduction pair processor 1.1.1: error below the dependency graph processor 1.1.1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: *#(+(x, y), z) -> *#(x, z) *#(+(x, y), z) -> *#(y, z) rules: *(x, *(y, z)) -> *(otimes(x, y), z) *(1, y) -> y *(+(x, y), z) -> oplus(*(x, z), *(y, z)) *(x, oplus(y, z)) -> oplus(*(x, y), *(x, z)) the pairs *#(+(x, y), z) -> *#(x, z) *#(+(x, y), z) -> *#(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(*#) = [(epsilon,0),(1,3)] Argument Filter: pi(*#/2) = [2] pi(+/2) = [2,1] RPO with the following precedence precedence(*#[2]) = 0 precedence(+[2]) = 0 precedence(_) = 0 and the following status status(*#[2]) = lex status(+[2]) = lex status(_) = lex problem when orienting DPs cannot orient pair *#(+(x, y), z) -> *#(x, z) strictly: [(*#(+(x, y), z),0),(+(x, y),3)] >mu [(*#(x, z),0),(x,3)] could not be ensured