We consider interacting particle systems on $Z$ which allow five
types of pairwise interaction: Annihilation, Birth, Coalescence, Death and
Exclusion with corresponding rates a, b,c, d, e . We show that whatever
the values of a, c, d, e, if the birthrate is high enough there is a
positive probability the particle system will survive starting from any finite
occupied set. In particular: an IPS with rates a b c d e has a positive
probability of survival if
$$ b > 4d + 6a, \quad c + a \geq d + e$$
or
$$ b > 7d + 3a - 3c + 3e, \quad c + a < d +
e.$$
¶ We create a suitable supermartingale by extending the method used by
Holley and Liggett in their treatment of the contact process.