Assuming you're good with full-record (i.e. matching on the whole multi-line block), full-line regexp matching (see my comment), you could do this with GNU awk for multi-char RS:
$ awk -v RS='^$' 'NR==FNR{RS="\n("$0")?"; next} 1' pat file1
LINE 1 ABCD
LINE 2 EFGA
LINE 3 HCJK
LINE 4 ABCDH
LINE 5 EFGAG
LINE 6 HCJKD
LINE 7 ABCDH
LINE 8 EFGAG
LINE 9 HCJKD
or for full-record, full-line literal string matching we could just escape all of the characters from pat to disable any potential regexp metachars:
$ awk -v RS='^$' 'NR==FNR{gsub(/[^^\\]/,"[&]"); gsub(/[\\^]/,"\\\\&"); RS="\n("$0")?"; next} 1' pat file1
LINE 1 ABCD
LINE 2 EFGA
LINE 3 HCJK
LINE 4 ABCDH
LINE 5 EFGAG
LINE 6 HCJKD
LINE 7 ABCDH
LINE 8 EFGAG
LINE 9 HCJKD
The above was run using this input:
$ head -50 pat file1
==> pat <==
REMOVE LINE11
REMOVE LINE12
REMOVE LINE13
==> file1 <==
LINE 1 ABCD
LINE 2 EFGA
LINE 3 HCJK
REMOVE LINE11
REMOVE LINE12
REMOVE LINE13
LINE 4 ABCDH
LINE 5 EFGAG
LINE 6 HCJKD
REMOVE LINE11
REMOVE LINE12
REMOVE LINE13
LINE 7 ABCDH
LINE 8 EFGAG
LINE 9 HCJKD