code: def test_is_rewritable_or_comparable():
      # from katsura4 with grlex
      R, x, y, z, t = ring("x,y,z,t", QQ, grlex)
  
      p = lbp(sig((0, 0, 2, 1), 2), R.zero, 2)
      B = [
          lbp(
              sig((0, 0, 0, 1), 2),
              QQ(2, 45) * y**2
              + QQ(1, 5) * y * z
              + QQ(5, 63) * y * t
              + z**2 * t
              + QQ(4, 45) * z**2
              + QQ(76, 35) * z * t**2
              - QQ(32, 105) * z * t
              + QQ(13, 7) * t**3
              - QQ(13, 21) * t**2,
              6,
          )
      ]
  
      # rewritable:
      assert is_rewritable_or_comparable(Sign(p), Num(p), B) is True
  
      p = lbp(sig((0, 1, 1, 0), 2), R.zero, 7)
      B = [
          lbp(
              sig((0, 0, 0, 0), 3),
              QQ(10, 3) * y * z
              + QQ(4, 3) * y * t
              - QQ(1, 3) * y
              + 4 * z**2
              + QQ(22, 3) * z * t
              - QQ(4, 3) * z
              + 4 * t**2
              - QQ(4, 3) * t,
              3,
          )
      ]
  
      # comparable:
      assert is_rewritable_or_comparable(Sign(p), Num(p), B) is True
  
imports: from sympy.polys.groebnertools import groebner, sig, sig_key, lbp, lbp_key, critical_pair, cp_key, is_rewritable_or_comparable, Sign, Polyn, Num, s_poly, f5_reduce, groebner_lcm, groebner_gcd, is_groebner, is_reduced
  from sympy.polys.fglmtools import _representing_matrices
  from sympy.polys.orderings import lex, grlex
  from sympy.polys.rings import ring, xring
  from sympy.polys.domains import ZZ, QQ
  from sympy.testing.pytest import slow
  from sympy.polys import polyconfig
label_desc: Use image node_id 24 for calling a global function with example usage: test_is_rewritable_or_comparable() without return types