Import all csv files in root sheet foler - name already used error

I have a visual basic macro (shown below) in a master sheet that imports all of the csv files in the root folder of the master tally file. This works great if the beginning of the files have explicitly different names. But many times the csv files I get are named such that the sheet tab name that is set to the csv file name truncates making the macro fail because the second file it imports has the same truncated name (gives me a name error). I am trying to get the correct syntax to get the names of the tabs changed to the count value (Fnum) “-“ then the truncated csv file name. Any help from a savvy visual basic guru would be greatly appreciated.

Sub ImportFiles()
Dim MyPath As String
Dim FilesInPath As String
Dim MyFiles() As String
Dim SourceRcount As Long
Dim Fnum As Long
Dim mybook As Workbook
Dim basebook As Workbook

'Fill in the path\folder where the files are
'on your machine
'MyPath = "C:\Users\dlweb_000\Desktop\GPX2KMZ Open Converter\Output"
'Set path with excel sheet cell value
'MyPath = Range("A2").Value
'use path of current excel sheet locaiton
MyPath = ActiveWorkbook.Path & "\"

'Add a slash at the end if the user forget it
If Right(MyPath, 1) <> "\" Then
MyPath = MyPath & "\"
End If

'If there are no Excel files in the folder exit the sub
FilesInPath = Dir(MyPath & "*.csv")
If FilesInPath = "" Then
MsgBox "No files found"
Exit Sub
End If

On Error GoTo CleanUp

Application.ScreenUpdating = False
Set basebook = ThisWorkbook

'Fill the array (myFiles) with the list of files in the folder
Fnum = 0
Do While FilesInPath <> ""
Fnum = Fnum + 1
ReDim Preserve MyFiles(1 To Fnum)
MyFiles(Fnum) = FilesInPath
FilesInPath = Dir()
Loop

'Loop through all files in the array (myFiles)
If Fnum > 0 Then
For Fnum = LBound(MyFiles) To UBound(MyFiles)
Set mybook = Workbooks.Open(MyPath & MyFiles(Fnum))
mybook.Worksheets(1).Copy After:= _
basebook.Sheets(basebook.Sheets.Count)

On Error Resume Next
ActiveSheet.Name = mybook.Name
On Error GoTo 0

' You can use this if you want to copy only the values
With ActiveSheet.UsedRange
.Value = .Value
End With

mybook.Close savechanges:=False
Next Fnum
End If
CleanUp:
Application.ScreenUpdating = True

Sheets.Item(1).Select
End Sub