what is the content of you /providers/dataproviders/sqldataprovider/04.04.00.log file?

or what is the content of "DotNetNuke.Schema.log"

according to my setup experience for DNN 4.5.5 , it says look for 04.04.00.log file, but the error log dropped in DotNetNuke.Schema.log (in my case)

and after a successful installation following log files created.

04.04.01.log
04.05.00.log
04.05.01.log
04.05.02.log
04.05.03.log
04.05.04.log
04.05.05.log
DotNetNuke.Data.log
DotNetNuke.Schema.log
DotNetNuke.SetUp.log
InstallCommon.log
InstallMembership.log
InstallProfile.log
InstallRoles.log

btw: When I try typical installation and auto installation there is a schema difference in Stored Procedure  dbo.GetOnlineUsers
Is this intentional or by mistake?

Auto creates it as

CREATE PROCEDURE dbo.GetOnlineUsers
    @PortalID int
AS
SELECT
    *
    FROM dbo.UsersOnline UO
        INNER JOIN dbo.vw_Users U ON UO.UserID = U.UserID
        INNER JOIN dbo.UserPortals UP ON U.UserID = UP.UserId
    WHERE  UP.PortalID = @PortalID
GO

Typical creates it as

CREATE PROCEDURE dbo.GetOnlineUsers
@PortalID int
AS
select UsersOnline.UserID,
       Users.UserName
from   UsersOnline, Users
where  UsersOnline.PortalID = @PortalID
and    UsersOnline.UserID = Users.UserID
GO

Note: I removed empty lines and linebreaks