+1 for Burkhan Khalid's answer
Run it with --force, output it to dbdump.sql, edit it for any incompatible statements.
Command line example:
mysqldump -uusername --ppassword --force dbname> dbdump.sql
edit your dbdump.sql to fix any incompatible statement in mysql versions. For me it was a timestamp expression: from 5.6 by default 'CURRENT_TIMESTAMP' to the value CURRENT_TIMESTAMP by default 5.5.
then import dbdump.sql or do whatever you need to do is ok.
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