You forgot one thing

binlog-do-db=our_database  
binlog-ignore-db=mysql  
binlog-ignore-db=test  
replicate-do-db=our_database  
log-slave-updates

The option log-slave-updates takes SQL that was read from relay logs and records them in the Slave Binary Logs when the SQL is completed.

Please be very careful. You should never use binlog-do-db and binlog-ignore-db simultaneously. I wrote about this back on Jun 14, 2012 ( Configured MySQL replication but its not working ) which points to an old Percona article on binlog-do-db being dangerous.

SUGGESTION

Of the things you are using, you only need these lines

replicate-do-db=our_database  
log-slave-updates

You really don't need binlog-do-db=our_database once you have log-slave-updates working properly.

A possible solution that comes to mind is to set the master_log_position to the next one:

change master to master_log_position = <next_pos>;
start slave;

Or just use sql_slave_skip_counter = 1. If that doesn't work, you may try to parse the binlog (if mysqlbinlog is able to parse it ...):

mysqlbinlog filename > script.sql

Edit the script and remove the part up to and including the long statement. Run the modified script manually on the slave and set the master_logfile to the next binlog:

change master to master_log_file ...;
start slave;

You may also check, just in case, if both master and slave use the same *max_allowed_packet*.