Unexpected Table does not exist error in procedure with PS

CREATE OR REPLACE TABLE t1 (a INT) ENGINE=MyISAM;

DELIMITER $$

CREATE OR REPLACE PROCEDURE p3()

BEGIN

   EXECUTE IMMEDIATE 'INSERT INTO t1 VALUES (9)';

END;

$$

CREATE OR REPLACE FUNCTION f2() RETURNS INT

BEGIN

  CALL p3();

  RETURN 0;

END;

$$

CREATE OR REPLACE PROCEDURE p1()

BEGIN

  DECLARE n INT;

  SET n= f2();

END;

$$

DELIMITER ;

CALL p1;

ERROR 1146 (42S02): Table 'test.t1' doesn't exist