Since you want to count both sysAlive and sysALive, I assume you want a case insensitive match on the entire word. The following will count that string no matter which field it is in as long as it is a standalone word:

Code:

awk '/(^|[[:space:]])[sS][yY][sS][aA][lL][iI][vV][eE]([[:space:]]|$)/{print $0,++cnt;next}1' file.txt > file2.txt

If you just want the 6th field or just want the last field, you can simplify it a little bit, but you can still use the same general structure.