Unlinks the object from the taxonomy or taxonomies.

Will remove all relationships between the object and any terms in
a particular taxonomy or taxonomies. Does not remove the term or
taxonomy itself.

function wp_delete_object_term_relationships( $object_id, $taxonomies ) {
	$object_id = (int) $object_id;

	if ( ! is_array( $taxonomies ) ) {
		$taxonomies = array( $taxonomies );
	}

	foreach ( (array) $taxonomies as $taxonomy ) {
		$term_ids = wp_get_object_terms( $object_id, $taxonomy, array( 'fields' => 'ids' ) );
		$term_ids = array_map( 'intval', $term_ids );
		wp_remove_object_terms( $object_id, $term_ids, $taxonomy );
	}
}