We report the discovery of an infrared ( IR ) -bright dust-obscured galaxy ( DOG ) that shows a strong ionized-gas outflow but no significant molecular gas outflow . Based on detail analysis of their optical spectra , we found some peculiar IR-bright DOGs that show strong ionized-gas outflow ( [ O iii ] \lambda 5007 ) from the central active galactic nucleus ( AGN ) . For one of these DOGs ( WISE J102905.90+050132.4 ) at z _ { spec } = 0.493 , we performed follow-up observations using ALMA to investigate their CO molecular gas properties . As a result , we successfully detected ^ { 12 } CO ( J =2–1 ) and ^ { 12 } CO ( J =4–3 ) lines , and the continuum of this DOG . The intensity-weighted velocity map of both lines shows a gradient , and the line profile of those CO lines is well-fitted by a single narrow Gaussian , meaning that this DOG has no sign of strong molecular gas outflow . The IR luminosity of this object is \log ( L _ { IR } / L _ { \sun } ) = 12.40 that is classified as ultraluminous IR galaxy ( ULIRG ) . We found that ( i ) the stellar mass and star-formation rate relation and ( ii ) the CO luminosity and far-IR luminosity relation are consistent with those of typical ULIRGs at similar redshifts . These results indicate that the molecular gas properties of this DOG are normal despite that its optical spectrum showing a powerful AGN outflow . We conclude that a powerful ionized-gas outflow caused by the AGN does not necessarily affect the cold interstellar medium in the host galaxy at least for this DOG .