from mimetypes import init
import clingo

PROGRAM_A = """
#theory o {
    kterm {- : 0, unary };
    &o/0 : kterm, any
}.
a, b.
a :- &o{a}.
b :- &o{b}.
"""

class CheckAtoms:
    def init(self, init: clingo.PropagateInit):
        theory_lits = set(init.solver_literal(atom.literal) for atom in init.theory_atoms)
        symbolic_lits = set(init.solver_literal(atom.literal) for atom in init.symbolic_atoms)

        if len(theory_lits & symbolic_lits) == 0:
            print("There is no solver literal overlap")
        else:
            print("There is overlap")


control = clingo.Control(["0"])
control.register_propagator(CheckAtoms())
control.add("base", [], PROGRAM_A)
control.ground([("base", [])])

control.solve()