  After new observations of 39 galaxies at z = 0.6-1.0 obtained at the IRAM 30m
telescope, we present our full CO line survey covering the redshift range 0.2 <
z < 1. Our aim is to determine the driving factors accounting for the steep
decline in the star formation rate during this epoch. We study both the gas
fraction, defined as Mgas/(Mgas+Mstar), and the star formation efficiency (SFE)
defined by the ratio between far-infrared luminosity and molecular gas mass
(LFIR/M(H2), i.e. a measure for the inverse of the gas depletion time. The
sources are selected to be ultra-luminous infrared galaxies (ULIRGs), with LFIR
greater than 10^12 Lo and experiencing starbursts. When we adopt a standard
ULIRG CO-to-H2 conversion factor, their molecular gas depletion time is less
than 100 Myr. Our full survey has now filled the gap of CO observations in the
0.2<z<1 range covering almost half of cosmic history. The detection rate in the
0.6 < z < 1 interval is 38% (15 galaxies out of 39), compared to 60% for the
0.2<z<0.6 interval. The average CO luminosity is L'CO = 1.8 10^10 K km/s pc^2,
corresponding to an average H2 mass of 1.45 10^10 Mo. From observation of 7
galaxies in both CO(2-1) and CO(4-3), a high gas excitation has been derived;
together with the dust mass estimation, this supports the choice of our low
ULIRG conversion factor between CO luminosity and H2, for our sample sources.
We find that both the gas fraction and the SFE significantly increase with
redshift, by factors of 3 +-1 from z=0 to 1, and therefore both quantities play
an important role and complement each other in cosmic star formation evolution.
