(VAR b i j x y z )
(RULES 
        div(x, y) -> div2(x, y, 0)
        div2(x, y, i) -> if1(le(y, 0), le(y, x), x, y, plus(i, 0), inc(i))
        if1(true, b, x, y, i, j) -> divZeroError
        if1(false, b, x, y, i, j) -> if2(b, x, y, i, j)
        if2(true, x, y, i, j) -> div2(minus(x, y), y, j)
        if2(false, x, y, i, j) -> i
        inc(0) -> 0
        inc(s(i)) -> s(inc(i))
        le(s(x), 0) -> false
        le(0, y) -> true
        le(s(x), s(y)) -> le(x, y)
        minus(x, 0) -> x
        minus(0, y) -> 0
        minus(s(x), s(y)) -> minus(x, y)
        plus(x, y) -> plusIter(x, y, 0)
        plusIter(x, y, z) -> ifPlus(le(x, z), x, y, z)
        ifPlus(true, x, y, z) -> y
        ifPlus(false, x, y, z) -> plusIter(x, s(y), s(z))
        a -> c
        a -> d
        
)