trentrichardson datetimepicker and timepicker doesn't work

问题

For the trentrichardson timepicker addon (http://trentrichardson.com/examples/timepicker/) for datetimepicker and timepicker, it seems to work for a limited amount of time (6 hours to a day), THEN, it stops working. TO FIX THIS, I replace the addon CDN (http://trentrichardson.com/examples/timepicker/jquery-ui-timepicker-addon.js), for the same one, and it works again.

How could this be? I put the CDN's in the correct order as well...

jQuery
jQueryUI (with datepicker and slider wigits)
Timepicker
Then CSS

P.S. I removed my main.css file and corresponding class="" from the inputs.

Once again, it works for 6 hours to a day, then stops working... with nothing changing. And I'm pretty sure the CDN's are not changing either, but they may be, but that should not matter since the file path itself is not changing. Let me know what you think, thanks! ALSO, when it stops working, I checked the file paths and they are still valid.

Code:

<!doctype html>
<html>
<head>

<meta charset="utf-8">
<script src="http://code.jquery.com/jquery-1.9.1.min.js"></script>  
<script src="http://code.jquery.com/jquery-migrate-1.2.1.min.js"></script>
<link rel="stylesheet" href="http://code.jquery.com/ui/1.10.3/themes/smoothness/jquery-ui.css">
<script src="http://code.jquery.com/jquery-1.9.1.js"></script>
<script src="http://code.jquery.com/ui/1.10.3/jquery-ui.js"></script>
<script src="http://trentrichardson.com/examples/timepicker/jquery-ui-timepicker-addon.js"></script>
<link rel="stylesheet" href="http://trentrichardson.com/examples/timepicker/jquery-ui-timepicker-addon.css">

<script> 
$(function() {
    $( "#datetimepicker" ).datetimepicker();
});

$(function() {
    $( "#timepicker" ).timepicker();
});
</script>
</head>

<body>
</body>
</html>

<?php
echo '<input type="text" id="datetimepicker" size="12px">';
echo '<input type="text" id="timepicker" size="2px">';
?>