%---------------- SGGS v1.0 (IJCAR 2020 submission) ----------------%

------ Parsing...successful


------ Proving...
use I-

Gamma_0: (extend-no-conflict)
  0: [group_element(e_3)]

Gamma_1: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))

Gamma_2: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]

Gamma_3: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]

Gamma_4: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_5: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_6: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]

Gamma_7: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]

Gamma_8: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_9: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))

Gamma_10: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]

Gamma_11: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  11: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))

Gamma_12: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  11: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  12: [~(equalish(e_3,e_2))]

Gamma_13: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  12: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))

Gamma_14: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: [~(equalish(e_3,e_2))]
  8: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_3))
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  12: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))

Gamma_15: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  6: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  12: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))

Gamma_16: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  6: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  7: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  8: [~(equalish(e_3,e_2))]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  12: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))

Gamma_17: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))

Gamma_18: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))

Gamma_19: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_20: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)

Gamma_21: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  10: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_22: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_23: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_24: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]

Gamma_25: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  11: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3))

Gamma_26: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  11: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3))
  12: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_27: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  12: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3))

Gamma_28: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))], ~(
product(e_2,e_2,e_3))

Gamma_29: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  12: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~(
product(e_2,e_2,e_3))]

Gamma_30: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~(
product(e_2,e_2,e_3))]
  10: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  11: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  12: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_31: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~(
product(e_2,e_2,e_3))]
  10: [~(product(e_3,e_2,e_2))], product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_32: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~(
product(e_2,e_2,e_3))]
  10: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_33: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [product(e_2,e_3,e_2)], product(e_2,e_3,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2)), [~(
product(e_2,e_2,e_3))]
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_34: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3), product(e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_35: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_36: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_37: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_38: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))

Gamma_39: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  14: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]

Gamma_40: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  14: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  15: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]

Gamma_41: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  14: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  15: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  16: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_42: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  14: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  15: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  16: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_43: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  14: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  15: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  16: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]
  18: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_44: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  15: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  16: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  17: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  18: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_45: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  15: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  16: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  17: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  18: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_46: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  13: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  15: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  16: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  17: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  18: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_47: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  13: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  16: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  17: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  18: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_48: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  13: [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_49: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  12: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  13: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_50: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  12: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  13: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_51: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  12: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), equalish(e_3,
e_2)
  13: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_52: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  10: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  11: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  12: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  13: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_53: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  12: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  13: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_54: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_55: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_56: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_2)), equalish(e_3,
e_2), ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_57: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_2)), [equalish(e_3,
e_2)], ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_58: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_59: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  9: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_60: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  10: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_61: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)

Gamma_62: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)

Gamma_63: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]

Gamma_64: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]

Gamma_65: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_66: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))

Gamma_67: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  13: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]

Gamma_68: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  13: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  14: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]

Gamma_69: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  13: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]
  14: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]

Gamma_70: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  13: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]
  14: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3))

Gamma_71: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  13: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]

Gamma_72: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  14: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]

Gamma_73: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))

Gamma_74: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))

Gamma_75: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)

Gamma_76: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))

Gamma_77: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), product(e_2,e_2,
e_1), equalish(e_3,e_2), ~(group_element(e_2))

Gamma_78: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))

Gamma_79: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]

Gamma_80: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  15: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  16: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_81: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]

Gamma_82: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: [product(e_3,e_2,e_2)], ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_2)), equalish(
e_3,e_2), ~(group_element(e_2))

Gamma_83: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  13: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))

Gamma_84: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_2,e_3,e_3), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  15: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_85: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [product(e_2,e_3,
e_3)], product(e_2,e_3,e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_86: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_87: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))

Gamma_88: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  15: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_89: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  15: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_90: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_91: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), product(e_2,
e_2,e_1)

Gamma_92: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)

Gamma_93: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_94: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_95: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_96: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]

Gamma_97: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~(
group_element(e_3)), ~(group_element(e_1))

Gamma_98: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~(
group_element(e_3)), ~(group_element(e_1))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]

Gamma_99: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: [product(e_3,e_1,e_3)], product(e_3,e_1,e_2), product(e_3,e_1,e_1), ~(
group_element(e_3)), ~(group_element(e_1))

Gamma_100: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1))

Gamma_101: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1))

Gamma_102: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1))
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)

Gamma_103: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_2)], product(e_3,e_1,e_1), ~(group_element(e_3)), ~(group_element(e_1))

Gamma_104: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), product(e_3,e_1,
e_1), product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))

Gamma_105: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))

Gamma_106: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]

Gamma_107: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]

Gamma_108: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]

Gamma_109: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]

Gamma_110: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))

Gamma_111: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  26: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]

Gamma_112: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  26: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]
  27: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3))

Gamma_113: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  26: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]
  27: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_114: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  26: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]
  27: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  28: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3))

Gamma_115: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  26: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]
  27: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_1,e_3))

Gamma_116: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  26: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]
  27: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]

Gamma_117: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: [product(e_2,e_1,e_3)], product(e_2,e_1,e_2), product(e_2,e_1,e_1), ~(
group_element(e_2)), ~(group_element(e_1))
  27: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3)), [product(e_1,
e_1,e_2)]
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_118: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product(
e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  27: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_119: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product(
e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  27: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_120: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product(
e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  27: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  28: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]

Gamma_121: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [product(
e_2,e_1,e_2)], product(e_2,e_1,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_122: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: [~(product(e_3,e_3,e_3))], product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_1,e_1), ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_123: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_124: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  29: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]

Gamma_125: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  29: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  30: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1,
e_3,e_2)]

Gamma_126: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  29: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  30: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1,
e_3,e_2)]
  31: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_127: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  29: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  30: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))
  31: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1,
e_3,e_2)]

Gamma_128: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  29: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  30: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))
  31: [~(product(e_2,e_3,e_1))], product(e_2,e_2,e_1), ~(product(e_2,e_1,e_1)), ~(
product(e_1,e_2,e_3))

Gamma_129: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  28: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  29: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  30: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))
  31: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~(
product(e_1,e_2,e_3))

Gamma_130: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~(
product(e_1,e_2,e_3))
  28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), [product(e_2,e_1,e_1)], ~(group_element(e_2)), ~(
group_element(e_1))
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  30: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  31: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_131: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~(
product(e_1,e_2,e_3))
  28: [~(product(e_3,e_3,e_3))], product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), ~(product(e_1,e_2,e_3)), ~(
group_element(e_2)), ~(group_element(e_1))
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  30: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_132: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  23: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  25: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  26: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  27: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~(
product(e_1,e_2,e_3))
  28: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  30: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_133: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  23: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  24: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_1,
e_2)]
  25: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  26: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  27: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  28: ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_2,e_1,e_1))], ~(
product(e_1,e_2,e_3))
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  30: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_134: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_1))], ~(product(e_3,e_1,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  24: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  25: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  26: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_135: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  21: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  23: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  24: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  25: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  26: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_136: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  21: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [product(e_3,e_1,
e_1)], product(e_2,e_2,e_3), ~(group_element(e_3)), ~(group_element(e_1))
  22: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  23: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  24: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  25: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  26: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_137: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  21: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), ~(
group_element(e_1))
  22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  23: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  24: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  25: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_138: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: [group_element(e_1)]
  18: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  19: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  21: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  23: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  24: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  25: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_139: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: [group_element(e_1)]
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_1))], product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_2)), ~(group_element(e_1))
  22: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), ~(product(e_2,e_3,e_1)), product(e_2,e_2,e_1), [~(product(e_1,e_2,e_3))], ~(
group_element(e_2)), ~(group_element(e_1))
  23: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  24: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  25: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_140: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_141: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [product(
e_2,e_2,e_3)], product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_142: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_143: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [product(
e_2,e_2,e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_144: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_145: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  13: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  14: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  15: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  16: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  17: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  18: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_146: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_3), [product(e_2,e_3,e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  16: ~(product(e_2,e_3,e_1)), [product(e_2,e_2,e_2)], product(e_2,e_2,
e_1), ~(group_element(e_2))
  17: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  18: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), product(
e_2,e_2,e_3), product(e_2,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2)), [~(
group_element(e_1))]
  19: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  20: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  21: ~(product(e_3,e_3,e_3)), product(e_2,e_3,e_3), ~(product(e_2,e_3,e_1)), [~(
product(e_2,e_1,e_3))]
  22: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  23: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_147: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2,
e_2)], ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), product(e_2,e_3,
e_2), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_148: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), [product(e_2,e_3,
e_2)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_149: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(product(e_3,e_2,e_1)), product(e_2,e_3,e_3), equalish(e_3,e_2), ~(
group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_150: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(product(e_3,e_2,e_1)), [product(e_2,e_3,e_3)], equalish(e_3,e_2), ~(
group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_151: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(product(e_3,e_2,e_1)), equalish(e_3,e_2), ~(group_element(e_3)), ~(
group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_152: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(product(e_3,e_2,e_1)), [equalish(e_3,e_2)], ~(group_element(e_3)), ~(
group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_153: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(product(e_3,e_2,e_1)), ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_154: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(equalish(e_3,e_2))]
  8: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  10: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  12: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,
e_2), [~(product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_155: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  11: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_2))], equalish(
e_3,e_2), ~(group_element(e_2))
  13: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), product(
e_2,e_3,e_3), product(e_2,e_3,e_2), [~(product(e_2,e_3,e_1))], equalish(
e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  15: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  16: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_156: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), product(e_3,e_2,
e_2), ~(group_element(e_3)), ~(group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_157: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), [product(e_3,e_2,
e_2)], ~(group_element(e_3)), ~(group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_158: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(group_element(e_3)), ~(
group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_159: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(group_element(e_3)), ~(
group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_160: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)), ~(group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_161: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: [group_element(e_2)]
  4: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  6: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  7: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_162: (move)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  4: [group_element(e_2)]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  6: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  7: ~(product(e_3,e_3,e_3)), product(e_3,e_2,e_3), product(e_3,e_2,e_2), [~(
product(e_3,e_2,e_1))], ~(group_element(e_3)), ~(group_element(e_2))
  8: [~(equalish(e_3,e_2))]
  9: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_163: (resolve)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  4: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_164: (extend-conflict)
  0: [group_element(e_3)]
  1: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  2: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  3: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  4: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_165: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), product(e_3,e_3,e_1), ~(
group_element(e_3))
  3: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  4: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  5: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  6: [~(equalish(e_3,e_2))]
  7: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  8: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_166: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]

Gamma_167: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]

Gamma_168: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]

Gamma_169: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]

Gamma_170: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]

Gamma_171: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_172: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]

Gamma_173: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_174: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_175: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_176: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_177: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)]

Gamma_178: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)]
  11: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)

Gamma_179: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)]

Gamma_180: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_3)), equalish(
e_3,e_2)

Gamma_181: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  10: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_2)

Gamma_182: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_2)
  10: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  11: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)

Gamma_183: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)

Gamma_184: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)

Gamma_185: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_2)], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_2)

Gamma_186: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), product(e_3,e_2,
e_1), equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_187: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_188: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]

Gamma_189: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  11: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))

Gamma_190: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  11: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))
  12: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_191: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  11: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))
  12: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]
  13: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_192: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  11: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  12: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))
  13: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_193: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  11: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  12: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  13: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_194: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  11: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  12: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  13: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_195: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  11: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  12: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  13: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_196: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  11: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  12: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_197: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  11: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  12: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_198: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [product(e_3,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  12: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_199: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  10: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_200: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: [group_element(e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  8: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  10: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]

Gamma_201: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  7: [group_element(e_2)]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_202: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  7: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3))
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_203: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~(
group_element(e_3))
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_204: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  7: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(group_element(e_3))
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_205: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  3: [~(equalish(e_3,e_2))]
  4: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  6: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  7: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_206: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  7: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  8: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  10: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_207: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]

Gamma_208: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]

Gamma_209: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]

Gamma_210: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]

Gamma_211: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]

Gamma_212: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_213: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]

Gamma_214: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]

Gamma_215: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]

Gamma_216: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_217: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_218: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  14: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_219: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_220: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_221: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_222: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))

Gamma_223: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]

Gamma_224: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: [product(e_2,e_2,e_3)], product(e_2,e_2,e_2), product(e_2,e_2,e_1), ~(
group_element(e_2))

Gamma_225: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))

Gamma_226: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))

Gamma_227: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))
  17: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)

Gamma_228: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_2)], product(e_2,e_2,e_1), ~(group_element(e_2))

Gamma_229: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), product(e_2,e_2,
e_1), equalish(e_3,e_2), ~(group_element(e_2))

Gamma_230: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))

Gamma_231: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  18: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]

Gamma_232: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  18: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]

Gamma_233: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  18: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  20: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_234: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  12: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  14: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  16: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  17: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  18: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  20: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  21: [~(equalish(e_3,e_1))]

Gamma_235: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: [~(equalish(e_3,e_1))]
  12: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  13: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  14: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  15: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  17: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  18: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  19: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  20: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  21: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_236: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: [~(equalish(e_3,e_1))]
  12: [~(product(e_3,e_2,e_3))], ~(product(e_1,e_2,e_3))
  13: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  14: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  15: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  17: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  18: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  19: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  20: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  21: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_237: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,e_2,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  11: [~(equalish(e_3,e_1))]
  12: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  13: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  14: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  15: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  17: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  18: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  19: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  20: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  21: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_238: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  12: [~(equalish(e_3,e_1))]
  13: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  14: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  15: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  17: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  18: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  19: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  20: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  21: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_239: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  10: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_3))
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  13: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  14: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  17: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_240: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  9: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  13: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  14: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  17: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_241: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  13: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  14: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  17: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_242: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  17: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_243: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  17: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_244: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  17: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  19: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_245: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  17: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  19: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2))

Gamma_246: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  13: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  14: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  15: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  16: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  17: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  19: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]

Gamma_247: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), [product(e_2,e_3,e_2)], product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  14: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  15: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  16: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_1)], equalish(e_3,e_2), ~(group_element(e_2))
  17: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  18: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  19: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_248: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), product(e_2,e_3,
e_1), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_249: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))

Gamma_250: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_251: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  15: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_252: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  15: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  16: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))

Gamma_253: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  15: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  16: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  17: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_254: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)
  16: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  17: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))

Gamma_255: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)
  16: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), equalish(
e_3,e_1)

Gamma_256: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)
  16: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_1)

Gamma_257: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_1)
  15: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  16: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_258: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_1)
  15: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), equalish(e_3,
e_1)
  16: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_259: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  14: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_1)
  15: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  16: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_260: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [product(e_2,e_3,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  15: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(
e_3,e_1)
  16: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_261: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  14: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), equalish(e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_262: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  14: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [equalish(e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_263: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  14: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_264: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  10: [~(equalish(e_3,e_1))]
  11: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  12: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  13: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  14: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_265: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: ~(product(e_3,e_3,e_1)), [product(e_3,e_2,e_2)], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  13: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  14: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  15: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_266: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], product(e_3,e_2,
e_1), ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_267: (extend-no-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_268: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  13: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_269: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [product(e_3,e_2,
e_1)], ~(group_element(e_3)), ~(group_element(e_2))
  12: [~(equalish(e_3,e_1))]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_270: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), ~(group_element(e_2))
  12: [~(equalish(e_3,e_1))]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_271: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: [group_element(e_2)]
  8: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  9: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  12: [~(equalish(e_3,e_1))]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_272: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  8: [group_element(e_2)]
  9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  10: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  11: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  12: [~(equalish(e_3,e_1))]
  13: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_273: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  8: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3))
  9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_274: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [equalish(e_3,e_2)], ~(
group_element(e_3))
  9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_275: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  8: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), ~(group_element(e_3))
  9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_276: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  4: [~(equalish(e_3,e_2))]
  5: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  7: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  8: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_277: (move)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  5: [~(equalish(e_3,e_2))]
  6: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  7: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  8: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3)), [~(group_element(e_2))]
  9: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  10: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  11: [~(equalish(e_3,e_1))]
  12: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_278: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(group_element(e_3))
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_279: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: product(e_3,e_3,e_3), [product(e_3,e_3,e_2)], ~(group_element(e_3))
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_280: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: [product(e_3,e_3,e_3)], ~(group_element(e_3))
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_281: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: [product(e_3,e_3,e_3)], ~(group_element(e_3))
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_282: (resolve)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: [~(group_element(e_3))]
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_283: (extend-conflict)
  0: [group_element(e_3)]
  1: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  2: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  3: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  4: [~(group_element(e_3))]
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_284: (move)
  0: [~(group_element(e_3))]
  1: [group_element(e_3)]
  2: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  3: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  4: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  5: [~(equalish(e_3,e_2))]
  6: [~(equalish(e_3,e_1))]
  7: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_285: (resolve)
  0: [~(group_element(e_3))]
  1: []
  2: [~(equalish(e_3,e_2))]
  3: [~(equalish(e_3,e_1))]

SZS status Unsatisfiable