formulas(assumptions).

  % This is a candidate single axiom for Group Theory.
  % The problem is open, so both Prover9 and Mace4 should
  % run for a long time on it.

  f(x,g(f(x,f(f(y,f(g(f(x,y)),g(z))),x)))) = z # label(cand_33).

end_of_list.

formulas(goals).

  f(f(x,y),z) = f(x,f(y,z)) # label(associativity).

end_of_list.
