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Washington, Dec. 2.

— The Secretary of War to-day received the following:

CLEVELAND, O., Jan. 2, 1863.

The following has just been received by telegraph from Cincinnati, dated Murfreesboro, January 1st: A terrible battle was fought yesterday. The latest from there says the rebel centre had been broken and things looked favorable. The losses are reported to be enormous. Gens. Stanley, Rosseau and Palmer are wounded, and the rebel Gens. Cheatham and Rains are killed.