Deregister wordpress script in child theme by js location

You will need to use the wp_dequeue_script() function
The key is to make sure this runs AFTER the script has been enqueued by using the right hook.
You should enqueue your minified version of the script in the usual/correct place as if it was not related to the other script in any way.

Your function could go in functions.php and look something like this

function dequeue_parent_script() {
  wp_dequeue_script( 'name-of-parent-script' );
}
add_action( 'wp_print_scripts', 'dequeue_parent_script', 100 );