ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error below the dependency graph processor 1.1.6: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: f#(ok(x)) -> f#(x) f#(found(x)) -> f#(x) f#(mark(x)) -> f#(x) rules: active(f(x)) -> mark(x) active(f(x)) -> f(active(x)) check(f(x)) -> f(check(x)) check(x) -> start(match(f(X), x)) f(ok(x)) -> ok(f(x)) f(found(x)) -> found(f(x)) f(mark(x)) -> mark(f(x)) match(f(x), f(y)) -> f(match(x, y)) match(X, x) -> proper(x) proper(c) -> ok(c) proper(f(x)) -> f(proper(x)) start(ok(x)) -> found(x) top(active(c)) -> top(mark(c)) top(mark(x)) -> top(check(x)) top(found(x)) -> top(active(x)) the pairs f#(ok(x)) -> f#(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(f#) = [(epsilon,0),(1,0)] Argument Filter: pi(f#/1) = [] pi(found/1) = 1 pi(ok/1) = [1] pi(mark/1) = 1 RPO with the following precedence precedence(f#[1]) = 0 precedence(ok[1]) = 1 precedence(_) = 0 and the following status status(f#[1]) = lex status(ok[1]) = lex status(_) = lex problem when orienting DPs cannot orient pair f#(found(x)) -> f#(x) weakly: [(f#(found(x)),0),(found(x),0)] >=mu [(f#(x),0),(x,0)] could not be ensured