We present Atacama Large Millimeter/Submillimeter Array ( ALMA ) CO ( 1-0 ) and CO ( 3-2 ) observations of SDSS J135646.10+102609.0 , an obscured quasar and ultra-luminous infrared galaxy ( ULIRG ) with two merging nuclei and a known 20-kpc-scale ionized outflow . The total molecular gas mass is M _ { mol } \approx 9 ^ { +19 } _ { -6 } \times 10 ^ { 8 } M _ { \odot } , mostly distributed in a compact rotating disk at the primary nucleus ( M _ { mol } \approx 3 \times 10 ^ { 8 } M _ { \odot } ) and an extended tidal arm ( M _ { mol } \approx 5 \times 10 ^ { 8 } M _ { \odot } ) . The tidal arm is one of the most massive molecular tidal features known ; we suggest that it is due to the lower chance of shock dissociation in this elliptical/disk galaxy merger . In the spatially resolved CO ( 3-2 ) data , we find a compact ( r \approx 0.3 kpc ) high velocity ( v \approx 500 km s ^ { -1 } ) red-shifted feature in addition to the rotation at the N nucleus . We propose a molecular outflow as the most likely explanation for the high velocity gas . The outflowing mass of M _ { mol } \approx 7 \times 10 ^ { 7 } M _ { \odot } and the short dynamical time of t _ { dyn } \approx 0.6 Myr yield a very high outflow rate of \dot { M } _ { mol } \approx 350 M _ { \odot } yr ^ { -1 } and can deplete the gas in a million years . We find a low star formation rate ( < 16 M _ { \odot } yr ^ { -1 } from the molecular content and < 21 M _ { \odot } yr ^ { -1 } from the far-infrared spectral energy distribution decomposition ) that is inadequate to supply the kinetic luminosity of the outflow ( \dot { E } \approx 3 \times 10 ^ { 43 } ergs s ^ { -1 } ) . Therefore , the active galactic nucleus , with a bolometric luminosity of 10 ^ { 46 } ergs s ^ { -1 } , likely powers the outflow . The momentum boost rate of the outflow ( \dot { p } / ( L _ { \mathrm { bol } } / c ) \approx 3 ) is lower than typical molecular outflows associated with AGN , which may be related to its compactness . The molecular and ionized outflows are likely two distinct bursts induced by episodic AGN activity that varies on a time scale of 10 ^ { 7 } yr .