Completely regular not implies collectionwise Hausdorff

Statement
A completely regular space need not be a collectionwise Hausdorff space.

Examples

 * The Moore plane is an example: See Moore plane is completely regular and Moore plane is not collectionwise Hausdorff
 * The Sorgenfrey plane is another example: See Sorgenfrey plane is completely regular and Sorgenfrey plane is not collectionwise Hausdorff