MAYBE MAYBE TRS: { c(ok(X)) -> ok(c(X)), f(mark(X)) -> mark(f(X)), f(ok(X)) -> ok(f(X)), g(mark(X)) -> mark(g(X)), g(ok(X)) -> ok(g(X)), active(f(X)) -> f(active(X)), active(f(f(a()))) -> mark(c(f(g(f(a()))))), active(g(X)) -> g(active(X)), proper(c(X)) -> c(proper(X)), proper(f(X)) -> f(proper(X)), proper(g(X)) -> g(proper(X)), proper(a()) -> ok(a()), top(mark(X)) -> top(proper(X)), top(ok(X)) -> top(active(X)) } DUP: We consider a non-duplicating system. Trs: { c(ok(X)) -> ok(c(X)), f(mark(X)) -> mark(f(X)), f(ok(X)) -> ok(f(X)), g(mark(X)) -> mark(g(X)), g(ok(X)) -> ok(g(X)), active(f(X)) -> f(active(X)), active(f(f(a()))) -> mark(c(f(g(f(a()))))), active(g(X)) -> g(active(X)), proper(c(X)) -> c(proper(X)), proper(f(X)) -> f(proper(X)), proper(g(X)) -> g(proper(X)), proper(a()) -> ok(a()), top(mark(X)) -> top(proper(X)), top(ok(X)) -> top(active(X)) } Fail