MAYBE MAYBE TRS: { sel(s(N), cons(X, XS)) -> sel(N, XS), sel(0(), cons(X, XS)) -> X, fib1(X, Y) -> cons(X, fib1(Y, add(X, Y))), fib(N) -> sel(N, fib1(s(0()), s(0()))), add(s(X), Y) -> s(add(X, Y)), add(0(), X) -> X } DUP: We consider a duplicating system. Trs: { sel(s(N), cons(X, XS)) -> sel(N, XS), sel(0(), cons(X, XS)) -> X, fib1(X, Y) -> cons(X, fib1(Y, add(X, Y))), fib(N) -> sel(N, fib1(s(0()), s(0()))), add(s(X), Y) -> s(add(X, Y)), add(0(), X) -> X } Fail