(tea. Bragg.Ti:m Aiio.MA, January I —I am unable to dislodge the enemy from lii' entrenchments, and hearing of reinforcements to him, w ithdrew from his front nigUt before last. He has not followed. My cavalry arc still in his front.(Signed) 13. BRAGG.Pistkrsburo, Jannary 5.—The New York Tiraoa has been received.Dispatches from Murfreesboro of the 1st, to Ilal-leck, 8ays that a terrible battle took place yesterday at this place-Later information from the field says have succeeded in breaking the rebel centre, and things are entirely in our favor.Gens Stanley, Rousseau and Palmer were wounded.A telegram to the Philadelphia Press, of Dec. 1H-a, says th.it their line su lie red terribly.Two o’clock, P. M. Gen. Thomas has certainly broken the rebel centre, and driven him a.mile or more—Rosecraus commanding in person the movements.The L'»th Wisconsin suffered terribly, losing nearly half of the entire regiment, including eight officers.The latest dates from Louisville, Jan. 1st, say that Gen. Rosecraus captured Mur.ree.sboro (on Tuesday, and now occupies it. The rebel force retreat'd to TnUahoma. Over 200 wagons, which followed the line,‘were captured by the rebels under Wheeler, of Tennes-ce.The second dispatch from Louisville says that Gen. Rosencrans occupied Murfroe-boro.Signed J. D. BOYLC, Brig.-Gen.The Mlt walt; renewed with fury on the 1st, and with heavy loss on both sides.Gen. MtCook fell back two miles before an overwhelming fo ce. He rallied, but was again driven back. At latest accounts he was five miles thissideof the ground occupied in the morning. The battle continued until night, at which time he held his position.The union loss is very heavy. Killed: Brig. General Sill, Lieutenant-Colonel Gurra-’chie, Ro-sencnm’s chief of Gi*ii . W W ellcott, andCol. Kelly, of the 2lt;hh Ohio: Col. Shatter; acting Brigadier General; Col. Farmer, loth Kentucky; Col. Cotton, 68th Kentucky; Col. Jones, 36th In-diania; Major Carpenter, IOMi regular-; Major Rosengarter, Philadelphia; Col. Carpenter, 18th Wisconsin; Lieutenant-Colonel McKee, 10th Wisconsin.Wounded: Brigadier-General Kirk, Illinois;Gen. Wood, Indian*!a. Gen. Van Cline, Minnesota; Major-General Rousseau, of Kmtucky; Major Stenomer, 16th regulars, and a host of officers filling over two columns.The total number of killed and wounded are estimated at 30,0 M. The rebel loss is much heavier. We captured 700 prisoners.•Gold advanced to 135; exchange, 156 @ 119; cotton, 68.Tl.« ...UntA nir.itr ia anmmpd nil vorv correct.lv