Tried some EB Super Slinky 9-46 strings on my 2004 Fender Deluxe Strat with standard trem and guitar is very difficult to keep in tune.  Intonation is correct.  Strings were pre-stretched.  Don't use trem.  Strings go out of tune very easily when pressing against frets (medium jumbo).  Love the tone of the strings.  Got any ideas?  Would a non-trem bridge solve the problem?