Normally, auto_increment value is generated for the column by
inserting either NULL or 0 into it. NO_AUTO_VALUE_ON_ZERO
suppresses this behavior for 0 so that only NULL generates
the auto_increment value. This behavior is also followed by
a slave, specifically by the SQL Thread, when applying events
in the statement format from a master. However, when applying
events in the row format, the flag was ignored thus causing
an assertion failure:
"Assertion failed: next_insert_id == 0, file .\handler.cc"

In fact, we never need to generate a auto_increment value for
the column when applying events in row format on slave. So we
don't allow it to happen by using 'MODE_NO_AUTO_VALUE_ON_ZERO'.

Refactoring: Get rid of all the sql_mode checks to rows_log_event
when applying it for avoiding problems caused by the inconsistency
of the sql_mode on slave and master as the sql_mode is not set for
Rows_log_event.

mysql-test/extra/rpl_tests/rpl_auto_increment.test:
  Added test to verify if the assertion of "next_insert_id == 0"
  will fail in ha_external_lock() function.
mysql-test/suite/rpl/r/rpl_auto_increment.result:
  Test result for bug#56662.
sql/log_event.cc:
  Added code to not allow generation of auto_increment value when
  processing rows event by adding 'MODE_NO_AUTO_VALUE_ON_ZERO' to
  sql_mode.
sql/rpl_record.cc:
  Added code to get rid of the 'MODE_STRICT_TRANS_TABLES'  and
  MODE_STRICT_ALL_TABLES check to the table when appling the
  rows event and treat it as no strict.