YES
(VAR x y)
(RULES
p(x,y) -> u(b(x,y))
f(s(s(x))) -> u(b(f(s(x)),f(x)))
u(b(x,0())) -> x
u(b(x,s(y))) -> s(u(b(x,y)))
n(b(x,y)) -> b(u(b(x,y)),x)
f(0()) -> 0()
f(s(0())) -> s(0())
g(x) -> b(f(s(x)),f(x))
)