In motion proceedings, where the applicant's founding affidavit contains contradictory allegations on a material fact (such as the basis for acquiring ownership of shares), and where the respondent's answering affidavit similarly contains contradictory admissions and denials on the same issue, a court cannot determine what facts are common cause between the parties. In such circumstances, it is not possible to resolve the factual disputes on the papers, nor is it appropriate to consider probabilities, and the application must fail for lack of proof of an essential element of the cause of action. The applicant bears the burden of establishing a clear and consistent factual foundation for the relief sought, particularly in relation to establishing ownership as a prerequisite to vindication of property.