(VAR X X1 X2 Y Z ) (RULES a__dbl(0) -> 0 a__dbl(s(X)) -> s(s(dbl(X))) a__dbls(nil) -> nil a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) a__sel(0, cons(X, Y)) -> mark(X) a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) a__indx(nil, X) -> nil a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) a__from(X) -> cons(X, from(s(X))) a__dbl1(0) -> 01 a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X)))) a__sel1(0, cons(X, Y)) -> mark(X) a__sel1(s(X), cons(Y, Z)) -> a__sel1(mark(X), mark(Z)) a__quote(0) -> 01 a__quote(s(X)) -> s1(a__quote(mark(X))) a__quote(dbl(X)) -> a__dbl1(mark(X)) a__quote(sel(X, Y)) -> a__sel1(mark(X), mark(Y)) mark(dbl(X)) -> a__dbl(mark(X)) mark(dbls(X)) -> a__dbls(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(indx(X1, X2)) -> a__indx(mark(X1), X2) mark(from(X)) -> a__from(X) mark(dbl1(X)) -> a__dbl1(mark(X)) mark(sel1(X1, X2)) -> a__sel1(mark(X1), mark(X2)) mark(quote(X)) -> a__quote(mark(X)) mark(0) -> 0 mark(s(X)) -> s(X) mark(nil) -> nil mark(cons(X1, X2)) -> cons(X1, X2) mark(01) -> 01 mark(s1(X)) -> s1(mark(X)) a__dbl(X) -> dbl(X) a__dbls(X) -> dbls(X) a__sel(X1, X2) -> sel(X1, X2) a__indx(X1, X2) -> indx(X1, X2) a__from(X) -> from(X) a__dbl1(X) -> dbl1(X) a__sel1(X1, X2) -> sel1(X1, X2) a__quote(X) -> quote(X) )