rename and send all child nodes based on value of element in child node in xslt

My input is:

    <Recordset>
      <Report_ID>
        <Record>
          <Report_ID>A1</Report_ID>
          <name1>a1</name1>
          <name2>a1</name2>
          <name3>a1</name3>
          <name4>true</name4>
        </Record>
        <Record>
          <Report_ID>A1</Report_ID>
          <name1>a1</name1>
          <name2>b1</name2>
          <name3>t1</name3>
          <name4>false</name4>
        </Record>
        <Record>
          <Report_ID>A1</Report_ID>
          <name1>a1</name1>
          <name2>a1</name2>
          <name3>a1</name3>
          <name4>false</name4>
        </Record>
   </Report_ID>
   <Report_ID>
      <Record>
        <Report_ID>B1</Report_ID>
        <name1>a1</name1>
        <name2>a1</name2>
        <name3>a1</name3>
        <name4>true</name4>
    </Record>
    <Record>
        <Report_ID>B1</Report_ID>
        <name1>a1</name1>
        <name2>a1</name2>
        <name3>a1</name3>
        <name4>true</name4>
    </Record>
  </Report_ID>
<Recordset>

Initially I had multiple records under one Report_Id, which I've grouped by Unique Report_Id. Next I want to achieve the below:

Target: If in one Report_ID any of name4 is "false" all the Records under that Report_Id should go and the parent node should be renamed as Report_ID_Complicated, if all the name4 values are true then it should be renamed as Report_ID_Simple. The grouping is fine...There has to be another check condition and the Parent nodes accordingly renamed.

<Recordset>
      <Report_ID_Complicated>
        <Record>
          <Report_ID>A1</Report_ID>
          <name1>a1</name1>
          <name2>a1</name2>
          <name3>a1</name3>
          <name4>true</name4>
        </Record>
        <Record>
          <Report_ID>A1</Report_ID>
          <name1>a1</name1>
          <name2>b1</name2>
          <name3>t1</name3>
          <name4>false</name4>
        </Record>
        <Record>
          <Report_ID>A1</Report_ID>
          <name1>a1</name1>
          <name2>a1</name2>
          <name3>a1</name3>
          <name4>false</name4>
        </Record>
   </Report_ID_Complicated>
   <Report_ID_Simple>
      <Record>
        <Report_ID>B1</Report_ID>
        <name1>a1</name1>
        <name2>a1</name2>
        <name3>a1</name3>
        <name4>true</name4>
    </Record>
    <Record>
        <Report_ID>B1</Report_ID>
        <name1>a1</name1>
        <name2>a1</name2>
        <name3>a1</name3>
        <name4>true</name4>
    </Record>
  </Report_ID_Simple>
<Recordset>