Background
The House has passed articles of impeachment but at present is refusing to transmit them to the Senate or appoint impeachment managers. The effect of this decision is to forestall the impeachment process in the Senate. Further, the Speaker has stated she will not transmit the articles until the Senate passes rules for the trial that are "fair," in her sole judgment.
As a practical matter, this move seems to be an attempt by the House to usurp some of the power of the Senate that is not provisioned by the Constitution and, accordingly, use that power as leverage to influence the Senate's internal negotiations over the rules of the Senate trial.
Question
Can the Senate impose a deadline for the House to sufficiently act on the articles including proper transmission to the Senate and appointment of proper impeachment managers to prosecute the Senate trial or, if the deadline is missed, declare the articles "null and void" as far as the Senate is concerned?