xpath grandparent node for all nodes

I have the following xml file:

<product>
   <typelist>
      <type id="6666" name="Six">
         <itemTypeList>
            <itemtype id="1" name="Six-1"/>
            <itemtype id="2" name="Six-2"/>
         </itemTypeList>
         <typeInstance id="111" type="1"/>
         <typeInstance id="222" type="2"/>
      </type>
      <type id="8888" name="Eight">
         <itemTypeList>
            <itemtype id="1" name="Eight-1"/>
            <itemtype id="10" name="Eight-10"/>
            <itemtype id="9" name="Eight-9"/>
            <itemtype id="2" name="Eight-2"/>
         </itemTypeList>
         <typeInstance id="1111" type="1"/>
         <typeInstance id="2222" type="10"/>
         <typeInstance id="3333" type="9"/>
         <typeInstance id="4444" type="2"/>
      </type>
   </typelist>
   <list>
      <product id="1" name="Product1" type="6666"/>
      <product id="2" name="Product2" type="6666"/>
      <product id="12" name="Product12" type="8888"/>
      <product id="13" name="Product13" type="8888"/>
   </list>
</product>

I need to get a list of itemtype with type information:

6666, Six, 111, 1
6666, Six, 222, 2
8888, Eight, 1111, 1
8888, Eight, 2222, 10
8888, Eight, 2222, 10
8888, Eight, 3333, 9
8888, Eight, 4444, 2

How can I do it using xpath? I was trying to use something like to get the typeid for each item, but it only returns me the first occorrence (does not repeat for each grandchildren node):

xpath(xmldata, 'product/typelist/type/itemTypeList/itemtype/id/../../@id)

Is there a way to get the desired result using Xpath 1.0?

Best