Mr. SUMNER submitted for consideration the following resolutions; which lie over under the rules: Resolutions declaratory of the duty of Congress in respect to guarantees of the national security and the national faith in the rebel States. Resolved, That, in order to provide proper guarantees for security in the future, so that peace and prosperity shall surely prevail, and the plighted faith of the nation shall be preserved, it is the first duty of Congress to take care that no States declared to be in rebellion shall be allowed to resume it relations to the Union until after the satisfactory performance of five several conditions, which conditions precedent must be submitted to a popular vote, and be sanctioned by a majority of the people of each State respectively, as follows: (1.) The complete reestablishment of loyalty, as shown by an honest recognition of the unity of the Republic, and the duty of allegiance to it at all times, without mental reservation or equivocation of any kind. (2.) The complete suppression of all oligarchical pretensions, and the complete enfranchisement of all citizens, so that there shall be no denial of rights on account of color or race; but justice shall be impartial and all shall be equal before the law. (3) The rejection of the rebel debt, at the same time the adoption, in just proportion, of the national debt and the national obligations to Union soldiers, with solemn pledges never to join in any measure direct or indirect, for their repudiation, or in any way tending to impair the national credit. (4.) The organization of an educational system for the equal benefit of all without distinction of color or race. (5.) The choice of citizens for office, whether State or national, of constance and undoubted loyalty, whose conduct and conversation shall give assurance of peace and reconciliation. Resolved, That in order to provide these essential safeguards, without which the national security and the national faith will be imperiled, States cannot be precipitated back to political power and independence; but they must wait until these conditions are in all respects fulfilled. CONDITIONS OF RESTORATION.