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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [cycle(e_3,e_0)]

Gamma_1: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))

Gamma_2: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]

Gamma_3: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]

Gamma_4: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]

Gamma_5: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]

Gamma_6: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]

Gamma_7: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]

Gamma_8: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]

Gamma_9: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]

Gamma_10: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]

Gamma_11: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]

Gamma_12: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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_13: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]

Gamma_14: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]

Gamma_15: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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_16: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_17: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]

Gamma_18: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]

Gamma_19: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  19: [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_20: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  19: [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))
  20: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))

Gamma_21: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  19: [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))
  20: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]

Gamma_22: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  19: [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))
  20: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  22: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))

Gamma_23: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  19: [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))
  20: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  22: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_24: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  19: [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))
  20: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  22: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  23: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  24: [~(equalish(e_3,e_2))]

Gamma_25: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_3,
e_2)]
  20: [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))
  21: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  23: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_26: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: [~(equalish(e_3,e_2))]
  19: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_3))
  20: [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))
  21: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  23: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_27: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: [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))
  16: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  17: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  20: [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))
  21: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  23: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_28: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: [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))
  17: ~(product(e_3,e_2,e_3)), [equalish(e_2,e_2)]
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_2,e_3)), [equalish(e_2,
e_3)]
  19: [~(equalish(e_3,e_2))]
  20: [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))
  21: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_3)), [product(e_2,
e_2,e_3)]
  23: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_3)), ~(product(e_2,e_2,e_3))
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_29: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: [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))
  19: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_30: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: [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))
  19: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_31: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: [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))
  19: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_32: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: [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))
  19: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)

Gamma_33: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: [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))
  20: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_3))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_34: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_35: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_36: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]

Gamma_37: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  23: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3))

Gamma_38: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  23: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3))
  24: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_39: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  24: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3))

Gamma_40: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  24: ~(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_41: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  24: ~(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_42: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(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))]
  22: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  23: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  24: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_43: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(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))]
  22: [~(product(e_3,e_2,e_2))], product(e_2,e_3,e_3), ~(product(e_2,e_3,e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_44: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(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))
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(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))]
  22: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_45: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(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))]
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_46: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: [~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_47: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_48: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_49: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_50: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))

Gamma_51: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  26: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]

Gamma_52: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  26: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  27: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]

Gamma_53: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  26: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  27: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  28: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_54: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  26: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  27: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  28: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  29: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_55: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  26: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  27: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  28: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  29: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]
  30: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_56: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  27: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  28: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  29: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  30: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_57: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  27: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  28: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  29: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  30: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_58: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  25: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  27: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  28: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  29: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  30: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_59: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  25: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: ~(product(e_1,e_2,e_2)), [equalish(e_1,e_1)]
  28: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_1,
e_3)]
  29: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]
  30: ~(product(e_3,e_2,e_2)), ~(product(e_1,e_2,e_2)), [equalish(e_3,
e_1)]

Gamma_60: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  25: [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_61: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  24: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  25: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_62: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  24: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  25: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: ~(product(e_2,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_63: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  24: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), equalish(e_3,
e_2)
  25: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_64: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(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))
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  23: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  24: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  25: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_65: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: ~(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))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)
  24: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], equalish(e_3,
e_2)
  25: ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_66: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: [~(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))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_67: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: ~(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))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_68: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: [~(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))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_69: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: ~(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))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_70: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: [~(product(e_3,e_3,e_3))], ~(product(e_3,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_71: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(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))
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  20: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_72: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: ~(product(e_3,e_2,e_2)), product(e_2,e_3,e_3), [~(product(e_2,e_3,e_2))]
  21: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_2)
  22: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  23: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_2)), product(e_2,
e_3,e_3)

Gamma_73: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_1), ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_74: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_75: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]

Gamma_76: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]

Gamma_77: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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_78: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: [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_79: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: [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))
  25: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]

Gamma_80: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: [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))
  25: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]
  26: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]

Gamma_81: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: [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))
  25: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]
  26: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_3)), [product(e_2,
e_2,e_2)]

Gamma_82: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: [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))
  25: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]
  26: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_3))

Gamma_83: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: [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))
  25: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]
  26: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]

Gamma_84: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: [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))
  26: product(e_3,e_2,e_2), ~(product(e_2,e_2,e_3)), [~(product(e_2,e_2,e_2))]

Gamma_85: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: 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_86: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: 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_87: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: 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))
  26: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)

Gamma_88: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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_89: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: [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_90: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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_91: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]

Gamma_92: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  28: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_93: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: 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))
  28: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]

Gamma_94: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: [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_95: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: 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_96: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  26: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  27: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_97: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_98: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)

Gamma_99: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [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_100: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [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))
  27: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_101: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [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))
  27: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_102: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [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))
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_103: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [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))
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: [~(product(e_2,e_3,e_1))], ~(product(e_2,e_2,e_3)), product(e_2,
e_2,e_1)

Gamma_104: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: [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))
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)

Gamma_105: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: [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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_106: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_107: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]

Gamma_108: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]

Gamma_109: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: [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_110: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: [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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]

Gamma_111: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: [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_112: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: 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_113: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: 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_114: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: 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))
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)

Gamma_115: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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_116: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: [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_117: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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_118: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]

Gamma_119: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]

Gamma_120: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]

Gamma_121: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]

Gamma_122: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: [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_123: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: [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))
  38: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3))

Gamma_124: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: [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))
  38: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3))
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_125: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: [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))
  38: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  39: [product(e_3,e_3,e_2)], ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_3))

Gamma_126: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: [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))
  38: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  39: ~(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_127: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: [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))
  38: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  39: ~(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_128: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: [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))
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_129: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: ~(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))
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_130: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: ~(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))
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_131: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: ~(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))
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  40: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]

Gamma_132: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_133: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: [~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_134: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_135: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  41: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]

Gamma_136: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  41: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  42: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1,
e_3,e_2)]

Gamma_137: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  41: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  42: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1,
e_3,e_2)]
  43: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_138: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  41: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  42: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))
  43: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_1,e_1)), [product(e_1,
e_3,e_2)]

Gamma_139: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  41: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  42: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))
  43: [~(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_140: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  41: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  42: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))
  43: ~(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_141: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(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))
  41: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  42: ~(product(e_2,e_1,e_1)), [product(e_1,e_1,e_2)]
  43: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_142: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: [~(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))
  41: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  42: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_143: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  36: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(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))
  40: ~(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))
  41: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  42: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_144: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(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))
  35: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [product(e_1,
e_2,e_3)]
  36: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  37: ~(product(e_1,e_2,e_3)), ~(product(e_1,e_1,e_3)), [equalish(e_2,
e_1)]
  38: ~(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))]
  39: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  40: ~(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))
  41: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)
  42: product(e_2,e_2,e_1), [~(product(e_1,e_3,e_2))], ~(product(e_1,e_2,e_3))

Gamma_145: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(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))
  35: ~(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))
  36: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_146: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: 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))
  33: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  34: ~(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))
  35: ~(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))
  36: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_147: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: ~(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))
  33: 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))
  34: ~(product(e_3,e_1,e_1)), [product(e_1,e_1,e_3)]
  35: ~(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))
  36: ~(product(e_3,e_2,e_1)), ~(product(e_3,e_1,e_1)), [equalish(e_1,
e_2)]
  37: ~(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))]
  38: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  39: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_148: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: ~(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))
  33: ~(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))
  34: ~(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))
  35: ~(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))]
  36: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  37: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_149: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: [group_element(e_1)]
  30: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  31: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  32: ~(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))
  33: ~(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))]
  34: ~(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))
  35: ~(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))]
  36: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  37: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_150: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: [group_element(e_1)]
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))
  34: ~(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))
  35: ~(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))]
  36: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  37: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: [~(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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: ~(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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: [~(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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: ~(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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_155: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: [~(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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_156: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: 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))
  25: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  26: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  27: ~(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))
  28: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  29: ~(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))]
  30: ~(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))
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_157: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: 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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_3))], product(e_2,
e_2,e_1)
  28: ~(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))
  29: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  30: ~(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))]
  31: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  32: ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_2))], product(e_2,
e_2,e_3)
  33: ~(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))]
  34: product(e_2,e_3,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_1,e_2))]
  35: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: ~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: ~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: [~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(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: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: ~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_162: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: [~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_163: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: ~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_164: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: [~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_165: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  18: [~(equalish(e_3,e_2))]
  19: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  20: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  21: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  22: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  23: 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))
  24: ~(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))
  25: ~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_166: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_1)], ~(group_element(e_3)), ~(
group_element(e_2))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_2,e_1)), [equalish(e_2,e_2)]
  23: ~(product(e_3,e_2,e_1)), [equalish(e_1,e_1)]
  24: 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))
  25: ~(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))
  26: ~(product(e_3,e_2,e_1)), [~(product(e_2,e_2,e_1))], equalish(e_3,
e_2)
  27: product(e_2,e_2,e_1), [~(product(e_1,e_2,e_2))]
  28: product(e_3,e_2,e_3), ~(product(e_3,e_2,e_1)), [~(product(e_3,e_1,e_3))]
  29: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_167: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: [~(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))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_168: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: ~(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))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_169: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: [~(product(e_3,e_3,e_3))], product(e_3,e_2,e_3), ~(group_element(e_3)), ~(
group_element(e_2))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_170: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: ~(product(e_3,e_3,e_3)), [product(e_3,e_2,e_3)], ~(group_element(e_3)), ~(
group_element(e_2))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_171: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: [~(product(e_3,e_3,e_3))], ~(group_element(e_3)), ~(group_element(e_2))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_172: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: [group_element(e_2)]
  15: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  17: ~(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))
  18: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_173: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  15: [group_element(e_2)]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  17: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  18: ~(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))
  19: [~(equalish(e_3,e_2))]
  20: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  21: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  22: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_174: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  15: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_175: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [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))
  13: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  14: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  15: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_176: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [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))
  14: ~(product(e_3,e_3,e_3)), [equalish(e_3,e_3)]
  15: ~(product(e_3,e_3,e_3)), ~(group_element(e_3)), [~(group_element(e_2))]
  16: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_2,e_3))]
  17: [~(equalish(e_3,e_2))]
  18: ~(product(e_3,e_3,e_3)), [~(product(e_2,e_3,e_3))], equalish(e_3,
e_2)
  19: ~(product(e_3,e_3,e_3)), [~(product(e_3,e_3,e_2))], product(e_2,
e_3,e_3)

Gamma_177: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]

Gamma_178: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]

Gamma_179: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]

Gamma_180: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]

Gamma_181: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]

Gamma_182: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: [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_183: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: [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))
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]

Gamma_184: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: [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_185: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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_186: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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_187: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_188: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)]

Gamma_189: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)]
  22: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)

Gamma_190: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  21: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_2)), [product(e_2,
e_3,e_3)]

Gamma_191: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  21: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  22: [~(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_192: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  21: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)
  22: ~(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_193: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(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)
  21: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  22: [~(product(e_2,e_3,e_3))], ~(product(e_2,e_2,e_3)), equalish(e_3,
e_2)

Gamma_194: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(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)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)

Gamma_195: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: 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))
  20: ~(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)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)

Gamma_196: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(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_197: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: [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_198: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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_199: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]

Gamma_200: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  22: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))

Gamma_201: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  22: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))
  23: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_202: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  22: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))
  23: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]
  24: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_203: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  22: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  23: [product(e_3,e_3,e_1)], ~(product(e_1,e_3,e_3))
  24: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_204: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  22: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  24: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_205: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  22: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  23: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  24: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_206: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  22: ~(product(e_3,e_3,e_2)), ~(product(e_3,e_2,e_1)), [product(e_1,
e_3,e_3)]
  23: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  24: ~(product(e_1,e_3,e_3)), [equalish(e_1,e_1)]

Gamma_207: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  22: [~(product(e_3,e_3,e_2))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)
  23: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_208: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: 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))
  21: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  22: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  23: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_209: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  21: 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))
  22: ~(product(e_3,e_2,e_1)), [~(product(e_1,e_3,e_3))], equalish(e_3,
e_2)
  23: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_1)), equalish(e_3,
e_2)

Gamma_210: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  21: [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_211: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: [group_element(e_2)]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  19: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  21: 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_212: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: 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))]
  18: [group_element(e_2)]
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_213: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: 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))]
  18: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), equalish(e_3,e_2), ~(
group_element(e_3))
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_214: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: 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))]
  18: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [equalish(e_3,e_2)], ~(
group_element(e_3))
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_215: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: 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))]
  18: [product(e_3,e_3,e_3)], ~(product(e_3,e_3,e_2)), ~(group_element(e_3))
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_216: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  14: [~(equalish(e_3,e_2))]
  15: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  17: 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))]
  18: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_217: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: [product(e_3,e_3,e_2)], product(e_3,e_3,e_1), ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_2)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_2)), [equalish(e_2,e_2)]
  18: 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))]
  19: product(e_3,e_3,e_3), ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_3))]
  20: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_2))], equalish(e_3,
e_2)
  21: ~(product(e_3,e_3,e_2)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_218: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]

Gamma_219: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]

Gamma_220: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]

Gamma_221: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]

Gamma_222: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]

Gamma_223: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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_224: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]

Gamma_225: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]

Gamma_226: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]

Gamma_227: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]

Gamma_228: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: [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_229: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: [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))
  25: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_230: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: [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_231: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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_232: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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_233: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: [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_234: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: [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))
  27: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]

Gamma_235: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: [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_236: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: 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_237: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: 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_238: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: 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))
  28: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)

Gamma_239: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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_240: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: [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_241: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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_242: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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))
  29: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]

Gamma_243: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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))
  29: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]

Gamma_244: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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))
  29: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]

Gamma_245: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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))
  29: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  32: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_246: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  23: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: 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))
  26: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  27: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  28: 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))
  29: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  32: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  33: [~(equalish(e_3,e_1))]

Gamma_247: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: [~(equalish(e_3,e_1))]
  23: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_3,
e_1)]
  24: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  25: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  26: 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))
  27: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  28: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  29: 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))
  30: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  32: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  33: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_248: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: [~(equalish(e_3,e_1))]
  23: [~(product(e_3,e_2,e_3))], ~(product(e_1,e_2,e_3))
  24: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  25: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  26: 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))
  27: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  28: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  29: 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))
  30: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  32: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  33: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_249: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  21: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  22: [~(equalish(e_3,e_1))]
  23: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  24: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  25: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  26: 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))
  27: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  28: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  29: 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))
  30: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  32: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  33: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_250: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), ~(product(e_3,e_2,e_3)), [product(e_1,
e_2,e_3)]
  22: ~(product(e_3,e_2,e_3)), ~(product(e_1,e_2,e_3)), [equalish(e_1,
e_3)]
  23: [~(equalish(e_3,e_1))]
  24: ~(product(e_1,e_2,e_3)), [equalish(e_2,e_2)]
  25: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  26: 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))
  27: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  28: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  29: 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))
  30: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  31: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  32: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  33: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_251: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  21: [~(product(e_3,e_3,e_1))], ~(product(e_3,e_2,e_3))
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: 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))
  25: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  26: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  27: 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))
  28: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  31: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_252: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: [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))
  20: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: 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))
  25: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  26: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  27: 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))
  28: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  31: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_253: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: [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))
  21: ~(product(e_3,e_2,e_3)), [~(product(e_1,e_2,e_3))]
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: 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))
  25: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  26: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  27: 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))
  28: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  31: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_254: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: 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))
  24: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  28: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  30: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_255: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: 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))
  24: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  28: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  30: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_256: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: 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))
  24: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  28: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  30: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  31: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_257: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: 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))
  24: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  28: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  30: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  31: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_2))

Gamma_258: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: 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))
  24: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  25: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  26: 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))
  27: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  28: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  30: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  31: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]

Gamma_259: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: product(e_3,e_3,e_2), ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_3))]
  26: ~(product(e_2,e_3,e_2)), [~(product(e_2,e_2,e_2))], equalish(e_3,
e_2)
  27: 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))
  28: ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_3,e_2)]
  29: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_1,
e_2)]
  30: ~(product(e_2,e_3,e_2)), ~(product(e_1,e_3,e_2)), [equalish(e_2,
e_1)]
  31: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_260: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: [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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_261: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_262: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]

Gamma_263: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  27: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]

Gamma_264: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  27: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  28: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))

Gamma_265: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  27: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  28: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))
  29: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_266: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)
  28: ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_3)), [product(e_1,
e_2,e_2)]
  29: [product(e_2,e_2,e_1)], ~(product(e_1,e_2,e_2))

Gamma_267: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)
  28: ~(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_268: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)
  28: ~(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_269: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(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)
  27: ~(product(e_3,e_2,e_2)), [product(e_2,e_2,e_3)]
  28: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_270: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(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)
  27: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_3,e_1)), equalish(e_3,
e_1)
  28: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_271: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: 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))
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  26: ~(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)
  27: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  28: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_272: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  25: 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))
  26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  27: ~(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)
  28: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_273: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  25: [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))
  26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_274: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  25: 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))
  26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_275: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  25: [product(e_3,e_3,e_2)], ~(product(e_3,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_276: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: ~(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))
  21: [~(equalish(e_3,e_1))]
  22: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  23: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  24: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  25: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_277: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: ~(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))
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: product(e_3,e_3,e_2), ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_2))]
  25: ~(product(e_3,e_2,e_2)), [~(product(e_2,e_3,e_1))], equalish(e_3,
e_1)
  26: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  27: ~(product(e_3,e_2,e_2)), [~(product(e_1,e_2,e_2))], equalish(e_3,
e_1)

Gamma_278: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: 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))
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_279: (extend-no-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: 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))
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_280: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: 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))
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  24: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))
  25: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)

Gamma_281: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: 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))
  23: [~(equalish(e_3,e_1))]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_282: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: [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))
  23: [~(equalish(e_3,e_1))]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_283: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: [group_element(e_2)]
  19: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  20: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: 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))]
  23: [~(equalish(e_3,e_1))]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_284: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: 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))]
  19: [group_element(e_2)]
  20: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  21: product(e_3,e_3,e_2), [~(product(e_3,e_2,e_2))], ~(group_element(e_3)), ~(
group_element(e_2))
  22: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  23: [~(equalish(e_3,e_1))]
  24: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]
  25: [cycle(e_2,e_0)], cycle(e_2,e_2), cycle(e_2,e_1), ~(group_element(e_2))

Gamma_285: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: 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))]
  19: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), equalish(e_3,e_2), ~(
group_element(e_3))
  20: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_286: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: 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))]
  19: product(e_3,e_3,e_2), ~(product(e_3,e_3,e_1)), [equalish(e_3,e_2)], ~(
group_element(e_3))
  20: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_287: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: 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))]
  19: [product(e_3,e_3,e_2)], ~(product(e_3,e_3,e_1)), ~(group_element(e_3))
  20: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_288: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  15: [~(equalish(e_3,e_2))]
  16: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  18: 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))]
  19: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  20: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_289: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: product(e_3,e_3,e_3), [product(e_3,e_3,e_1)], ~(group_element(e_3))
  16: [~(equalish(e_3,e_2))]
  17: ~(product(e_3,e_3,e_1)), [equalish(e_3,e_3)]
  18: ~(product(e_3,e_3,e_1)), [equalish(e_1,e_1)]
  19: 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))]
  20: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_3))]
  21: ~(product(e_3,e_3,e_1)), [~(product(e_3,e_2,e_1))], equalish(e_3,
e_2)
  22: [~(equalish(e_3,e_1))]
  23: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_290: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: [product(e_3,e_3,e_3)], product(e_3,e_3,e_2), ~(group_element(e_3))
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_291: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: product(e_3,e_3,e_3), [product(e_3,e_3,e_2)], ~(group_element(e_3))
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_292: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: [product(e_3,e_3,e_3)], ~(group_element(e_3))
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_293: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: [product(e_3,e_3,e_3)], ~(group_element(e_3))
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_294: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: [~(group_element(e_3))]
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_295: (extend-conflict)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [group_element(e_3)]
  12: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  13: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  14: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  15: [~(group_element(e_3))]
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_296: (move)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [~(group_element(e_3))]
  12: [group_element(e_3)]
  13: [~(product(e_3,e_3,e_3))], ~(group_element(e_3))
  14: product(e_3,e_3,e_3), [~(product(e_3,e_3,e_2))], ~(group_element(e_3))
  15: product(e_3,e_3,e_2), [~(product(e_3,e_3,e_1))], ~(group_element(e_3))
  16: [~(equalish(e_3,e_2))]
  17: [~(equalish(e_3,e_1))]
  18: product(e_3,e_3,e_2), [~(product(e_2,e_3,e_3))]

Gamma_297: (resolve)
  0: [cycle(e_3,e_0)]
  1: [equalish(e_0,e_0)], ~(cycle(e_3,e_0))
  2: [greater(e_3,e_2)]
  3: [greater(e_3,e_1)]
  4: [greater(e_2,e_1)]
  5: [greater(e_3,e_0)]
  6: [greater(e_2,e_0)]
  7: [greater(e_1,e_0)]
  8: [next(e_2,e_3)]
  9: [next(e_1,e_2)]
  10: [next(e_0,e_1)]
  11: [~(group_element(e_3))]
  12: []
  13: [~(equalish(e_3,e_2))]
  14: [~(equalish(e_3,e_1))]

SZS status Unsatisfiable