ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.4: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: __#(mark(X1), X2) -> __#(X1, X2) __#(X1, mark(X2)) -> __#(X1, X2) __#(ok(X1), ok(X2)) -> __#(X1, X2) rules: __(mark(X1), X2) -> mark(__(X1, X2)) __(X1, mark(X2)) -> mark(__(X1, X2)) __(ok(X1), ok(X2)) -> ok(__(X1, X2)) active(__(__(X, Y), Z)) -> mark(__(X, __(Y, Z))) active(__(X, nil)) -> mark(X) active(__(nil, X)) -> mark(X) active(and(tt, X)) -> mark(X) active(isNePal(__(I, __(P, I)))) -> mark(tt) active(__(X1, X2)) -> __(active(X1), X2) active(__(X1, X2)) -> __(X1, active(X2)) active(and(X1, X2)) -> and(active(X1), X2) active(isNePal(X)) -> isNePal(active(X)) and(mark(X1), X2) -> mark(and(X1, X2)) and(ok(X1), ok(X2)) -> ok(and(X1, X2)) isNePal(mark(X)) -> mark(isNePal(X)) isNePal(ok(X)) -> ok(isNePal(X)) proper(__(X1, X2)) -> __(proper(X1), proper(X2)) proper(nil) -> ok(nil) proper(and(X1, X2)) -> and(proper(X1), proper(X2)) proper(tt) -> ok(tt) proper(isNePal(X)) -> isNePal(proper(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) the pairs __#(mark(X1), X2) -> __#(X1, X2) __#(X1, mark(X2)) -> __#(X1, X2) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(__#) = [(1,0),(2,2)] Argument Filter: pi(__#/2) = [] pi(mark/1) = [1] pi(ok/1) = 1 RPO with the following precedence precedence(__#[2]) = 0 precedence(mark[1]) = 1 precedence(_) = 0 and the following status status(__#[2]) = lex status(mark[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair __#(ok(X1), ok(X2)) -> __#(X1, X2) weakly: [(ok(X1),0),(ok(X2),2)] >=mu [(X1,0),(X2,2)] could not be ensured