ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error when applying the reduction pair processor to remove from the DP problem pairs: div#(X, e) -> i#(X) i#(div(X, Y)) -> div#(Y, X) div#(div(X, Y), Z) -> div#(Y, div(i(X), Z)) div#(div(X, Y), Z) -> div#(i(X), Z) div#(div(X, Y), Z) -> i#(X) rules: div(X, e) -> i(X) div(div(X, Y), Z) -> div(Y, div(i(X), Z)) i(div(X, Y)) -> div(Y, X) the pairs i#(div(X, Y)) -> div#(Y, X) div#(div(X, Y), Z) -> div#(Y, div(i(X), Z)) div#(div(X, Y), Z) -> div#(i(X), Z) div#(div(X, Y), Z) -> i#(X) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(div#) = [(epsilon,0),(1,0)] pi(i#) = [(epsilon,0),(1,0)] Argument Filter: pi(div#/2) = [] pi(e/0) = [] pi(i#/1) = [] pi(div/2) = [1,2] pi(i/1) = [1] RPO with the following precedence precedence(div#[2]) = 1 precedence(e[0]) = 2 precedence(i#[1]) = 1 precedence(div[2]) = 0 precedence(i[1]) = 0 precedence(_) = 0 and the following status status(div#[2]) = lex status(e[0]) = lex status(i#[1]) = lex status(div[2]) = lex status(i[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair div#(X, e) -> i#(X) weakly: [(div#(X, e),0),(X,0)] >=mu [(i#(X),0),(X,0)] could not be ensured