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

------ Parsing...successful


------ Proving...
use I-
not ground preserving

Gamma_0: (extend-no-conflict)
  0: [product(X0,X0,X0)]

Gamma_1: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]

Gamma_2: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]

Gamma_3: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]

Gamma_4: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_5: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]

Gamma_6: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))

Gamma_7: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]

Gamma_8: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))

Gamma_9: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]

Gamma_10: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]

Gamma_11: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]
  11: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_3,
e_2)]

Gamma_12: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]
  11: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_3,
e_2)]
  12: [~(equalish(e_3,e_2))]

Gamma_13: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]
  11: [~(equalish(e_3,e_2))]
  12: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_2,e_2)), [equalish(e_3,
e_2)]

Gamma_14: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]
  11: [~(equalish(e_3,e_2))]
  12: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))

Gamma_15: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  7: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  8: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  9: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,e_3,
e_3)]
  10: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]
  11: [~(equalish(e_3,e_2))]
  12: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))

Gamma_16: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [product(e_3,e_2,e_2)], ~(product(e_2,e_3,e_2)), ~(product(e_2,e_2,e_2))
  8: ~(product(e_3,e_2,e_2)), ~(product(e_2,e_3,e_2)), [product(e_2,e_2,
e_3)]
  9: [product(e_3,e_3,e_2)], ~(product(e_2,e_2,e_3))
  10: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_2)), [product(e_2,
e_3,e_3)]
  11: ~(product(e_3,e_2,e_3)), ~(product(e_2,e_2,e_3)), [equalish(e_2,
e_3)]
  12: [~(equalish(e_3,e_2))]

Gamma_17: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_18: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_19: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  6: ~(product(e_3,e_2,e_3)), [product(e_2,e_3,e_2)]
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_20: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_21: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  5: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_22: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [product(e_3,e_2,e_3)], product(e_3,e_2,e_2), product(e_3,e_2,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_23: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [product(e_3,e_2,e_2)], product(e_3,e_2,e_1), ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_24: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]

Gamma_25: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_26: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1,
e_3,e_3)]

Gamma_27: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1,
e_3,e_3)]
  11: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_2)], ~(product(e_2,e_3,e_3))

Gamma_28: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: [product(e_2,e_3,e_3)], product(e_2,e_3,e_2), product(e_2,e_3,e_1), ~(
group_element(e_3)), ~(group_element(e_2))
  10: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1,
e_3,e_3)]
  11: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_2)], ~(product(e_2,e_3,e_3))
  12: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_29: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: [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))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_3)), [product(e_1,
e_3,e_3)]
  12: ~(product(e_3,e_2,e_1)), [product(e_3,e_1,e_2)], ~(product(e_2,e_3,e_3))

Gamma_30: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,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_31: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,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_32: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]

Gamma_33: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))

Gamma_34: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))

Gamma_35: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]

Gamma_36: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]

Gamma_37: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))

Gamma_38: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))

Gamma_39: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]

Gamma_40: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))

Gamma_41: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))

Gamma_42: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]

Gamma_43: (extend-no-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]
  22: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_44: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  21: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]
  22: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]
  23: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]

Gamma_45: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  15: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_1,
e_2,e_2)]
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]
  23: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_46: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_2,e_2,e_2))], ~(
product(e_2,e_2,e_1))
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]
  23: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_47: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  13: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]
  23: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_48: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  13: [product(e_2,e_2,e_1)], ~(product(e_1,e_1,e_2))
  14: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_2,e_2,e_2)), ~(product(e_2,e_2,e_1)), [product(e_2,
e_1,e_2)]
  23: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_49: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_1,e_1,e_2))]
  14: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_50: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_1,e_1,e_2))]
  14: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_51: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_1,e_1,e_2))]
  12: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_2)]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  14: [product(e_2,e_1,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  15: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  16: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  17: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  18: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  19: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  20: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  21: [product(e_1,e_2,e_1)], ~(product(e_1,e_1,e_2)), ~(product(e_1,e_1,e_1))
  22: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_52: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_1,e_1,e_2))]
  12: product(e_3,e_2,e_2), [~(product(e_3,e_2,e_1))], ~(product(e_2,e_3,e_1)), ~(
product(e_2,e_2,e_2))
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_53: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  11: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_1,e_1,e_2))]
  12: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_54: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: product(e_3,e_2,e_2), product(e_2,e_3,e_2), [product(e_2,e_3,e_1)], ~(
group_element(e_3)), ~(group_element(e_2))
  12: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_1,e_1,e_2))]
  13: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), ~(product(e_2,e_2,e_2)), [~(
product(e_2,e_2,e_1))]
  14: product(e_3,e_2,e_2), ~(product(e_2,e_3,e_1)), [~(product(e_1,e_2,e_2))]
  15: ~(product(e_3,e_2,e_1)), ~(product(e_2,e_3,e_1)), [product(e_1,
e_1,e_3)]
  16: [product(e_3,e_3,e_1)], ~(product(e_1,e_1,e_3))
  17: [product(e_3,e_1,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  18: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_1,
e_3,e_3)]
  19: [product(e_1,e_3,e_1)], ~(product(e_1,e_1,e_3)), ~(product(e_1,e_1,e_1))
  20: ~(product(e_3,e_3,e_3)), ~(product(e_3,e_3,e_1)), [product(e_3,
e_1,e_3)]

Gamma_55: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: [product(e_3,e_2,e_2)], ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_2), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_56: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: [product(e_3,e_2,e_2)], ~(product(e_3,e_2,e_1)), product(e_2,e_3,
e_2), ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(group_element(e_2))

Gamma_57: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: [~(product(e_3,e_2,e_1))], product(e_2,e_3,e_2), ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_58: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: ~(product(e_3,e_2,e_1)), [product(e_2,e_3,e_2)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))

Gamma_59: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))

Gamma_60: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  10: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))
  11: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))

Gamma_61: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  6: product(e_3,e_2,e_2), [product(e_3,e_2,e_1)], ~(product(e_2,e_2,e_2)), ~(
group_element(e_3)), ~(group_element(e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]
  11: product(e_3,e_2,e_2), ~(product(e_3,e_2,e_1)), [~(product(e_2,e_3,e_1))], ~(
product(e_2,e_2,e_2))

Gamma_62: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_63: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  6: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_64: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [product(e_3,e_2,e_2)], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_65: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_2,e_2))], ~(group_element(e_3)), ~(group_element(e_2))
  8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_66: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: [group_element(e_2)]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~(group_element(e_2))]
  8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_67: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~(group_element(e_2))]
  4: [group_element(e_2)]
  5: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_1))], ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), ~(
group_element(e_2))
  7: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  9: [~(equalish(e_3,e_2))]
  10: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_68: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~(group_element(e_2))]
  4: [~(product(e_2,e_2,e_2))], ~(group_element(e_3))
  5: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_69: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: [group_element(e_3)]
  3: ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~(group_element(e_2))]
  4: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  5: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_70: (move)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  3: [group_element(e_3)]
  4: ~(product(e_2,e_2,e_2)), ~(group_element(e_3)), [~(group_element(e_2))]
  5: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_71: (resolve)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  3: [~(product(e_2,e_2,e_2))]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(equalish(e_3,e_2))]
  8: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_72: (extend-conflict)
  0: [product(X0,X0,X0)]
  1: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  2: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  3: [~(product(e_2,e_2,e_2))]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(equalish(e_3,e_2))]
  8: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_73: (move)
  0: [~(product(e_2,e_2,e_2))]
  1: [product(X0,X0,X0)]
  2: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  3: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  4: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  5: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(equalish(e_3,e_2))]
  8: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_74: (right-split)
  0: [~(product(e_2,e_2,e_2))]
  1: top(X0) != e_2 & top(X0) != e_2 | [product(e_2,e_2,e_2)]
  2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0,
X0)]
  3: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  4: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  5: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_75: (right-split)
  0: [~(product(e_2,e_2,e_2))]
  1: [product(e_2,e_2,e_2)]
  2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0,
X0)]
  3: ~(product(X0,X0,X0)), [equalish(X0,X0)]
  4: ~(product(e_2,e_2,e_2)), [~(group_element(e_3))]
  5: [~(product(e_3,e_2,e_3))], ~(product(e_2,e_2,e_2))
  6: [~(product(e_3,e_2,e_2))], ~(product(e_2,e_2,e_2))
  7: [~(product(e_2,e_3,e_2))], ~(product(e_2,e_2,e_2))
  8: [~(equalish(e_3,e_2))]
  9: product(e_3,e_2,e_2), [~(product(e_2,e_3,e_3))]

Gamma_76: (resolve)
  0: [~(product(e_2,e_2,e_2))]
  1: []
  2: top(X0) != e_2 & top(X0) != e_2 & top(X0) != e_2 | [product(X0,X0,
X0)]
  3: [~(equalish(e_3,e_2))]

SZS status Unsatisfiable