I'm trying to solve the 'barnyard' problem with sympy with two
equations for 3 variables (it's underconstrained).  I want all
possible solutions to be displayed, possibly by iterating

There are 20 heads and 56 legs, how many chicken, pigs and spiders are
there?

chickens = Symbol('chickens')
pigs = Symbol('pigs')
spiders = Symbol('spiders')

solve([Eq(chickens+pigs+spiders, 20), Eq(2*chickens+4*pigs+8*spiders,
56)])

this works, but defines chickens and pigs in terms of spiders.
I'm trying to have sympy display all the possible solutions by adding
a few more expressions to the solver:
soln = solve([Eq(chickens+y+z, 20), Eq(2*chickens + 4*y + 8*z, 56),
Ge(chickens,0), Ge(y,0), Ge(z,0)])

, but I'm getting an error:
NotImplementedError: only univariate inequalities are supported

Am I doing something wrong?

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