(VAR N X X1 X2 XS Y ) (RULES active(fib(N)) -> mark(sel(N, fib1(s(0), s(0)))) active(fib1(X, Y)) -> mark(cons(X, fib1(Y, add(X, Y)))) active(add(0, X)) -> mark(X) active(add(s(X), Y)) -> mark(s(add(X, Y))) active(sel(0, cons(X, XS))) -> mark(X) active(sel(s(N), cons(X, XS))) -> mark(sel(N, XS)) mark(fib(X)) -> active(fib(mark(X))) mark(sel(X1, X2)) -> active(sel(mark(X1), mark(X2))) mark(fib1(X1, X2)) -> active(fib1(mark(X1), mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(0) -> active(0) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(add(X1, X2)) -> active(add(mark(X1), mark(X2))) fib(mark(X)) -> fib(X) fib(active(X)) -> fib(X) sel(mark(X1), X2) -> sel(X1, X2) sel(X1, mark(X2)) -> sel(X1, X2) sel(active(X1), X2) -> sel(X1, X2) sel(X1, active(X2)) -> sel(X1, X2) fib1(mark(X1), X2) -> fib1(X1, X2) fib1(X1, mark(X2)) -> fib1(X1, X2) fib1(active(X1), X2) -> fib1(X1, X2) fib1(X1, active(X2)) -> fib1(X1, X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) add(mark(X1), X2) -> add(X1, X2) add(X1, mark(X2)) -> add(X1, X2) add(active(X1), X2) -> add(X1, X2) add(X1, active(X2)) -> add(X1, X2) )