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

------ Parsing...successful


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

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

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

Gamma_2: (right-split)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]

Gamma_3: (extend-no-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]

Gamma_4: (right-split)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]

Gamma_5: (extend-no-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]

Gamma_6: (extend-no-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))

Gamma_7: (extend-no-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]

Gamma_8: (extend-no-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]
  6: ~(product(c,identity,c)), ~(product(c,a,b)), [product(b,a,c)], ~(
product(a,a,identity))

Gamma_9: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]
  6: ~(product(c,identity,c)), ~(product(c,a,b)), [product(b,a,c)], ~(
product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_10: (move)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]
  6: [~(product(b,a,c))]
  7: ~(product(c,identity,c)), ~(product(c,a,b)), [product(b,a,c)], ~(
product(a,a,identity))

Gamma_11: (resolve)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]
  6: [~(product(b,a,c))]
  7: [~(product(c,identity,c))], ~(product(c,a,b)), ~(product(a,a,identity))

Gamma_12: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]
  6: [~(product(b,a,c))]
  7: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))

Gamma_13: (move)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: ~(product(identity,b,b)), ~(product(c,c,identity)), ~(product(c,b,a)), [product(
c,a,b)]
  7: [~(product(b,a,c))]

Gamma_14: (resolve)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(c,b,a)), ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_15: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_16: (move)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  5: [product(c,b,a)], ~(product(b,b,identity)), ~(product(a,identity,a)), ~(
product(a,b,c))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_17: (resolve)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(b,b,identity))], ~(product(a,identity,a)), ~(product(a,b,c)), ~(
product(a,a,identity))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_18: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: [product(a,b,c)]
  4: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_19: (move)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  4: [product(a,b,c)]
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_20: (resolve)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  4: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_21: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  3: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  4: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_22: (move)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  3: top(X0) != identity | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  4: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_23: (right-split)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  3: top(X0) != b | [product(identity,b,b)], ~(product(b,identity,b)), ~(
product(b,b,identity))
  4: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  6: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  7: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  8: [~(product(b,a,c))]

Gamma_24: (right-split)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  3: [product(identity,b,b)], ~(product(b,identity,b)), ~(product(b,b,identity))
  4: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  5: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), [~(product(a,b,c))], ~(
product(a,a,identity))
  6: ~(product(identity,b,b)), ~(product(c,identity,c)), ~(product(c,c,identity)), [~(
product(c,b,a))], ~(product(a,a,identity))
  7: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  8: [~(product(b,a,c))]

Gamma_25: (resolve)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  3: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  4: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(b,a,c))]

Gamma_26: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: top(X0) != identity | [product(X0,identity,X0)]
  2: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  3: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  4: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(b,a,c))]

Gamma_27: (move)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: top(X0) != identity | [product(X0,identity,X0)]
  3: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  4: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(b,a,c))]

Gamma_28: (right-split)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: top(X0) != a | [product(a,identity,a)]
  3: top(X0) != a & top(X0) != a | [product(X0,identity,X0)]
  4: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  5: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_29: (right-split)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: [product(a,identity,a)]
  3: top(X0) != a & top(X0) != a | [product(X0,identity,X0)]
  4: [~(product(identity,b,b))], ~(product(c,identity,c)), ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,identity,a)), ~(product(a,a,identity))
  5: top(X0) != b & top(X0) != b | ~(product(X0,X0,identity)), ~(product(X0,identity,X0)), [product(
identity,X0,X0)]
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_30: (resolve)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: top(X0) != a & top(X0) != a | [product(X0,identity,X0)]
  4: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  5: [~(product(b,a,c))]

Gamma_31: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: top(X0) != a & top(X0) != a | [product(X0,identity,X0)]
  4: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  5: [~(product(b,a,c))]

Gamma_32: (right-split)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: top(X0) != b | [product(b,identity,b)]
  4: top(X0) != b & top(X0) != b | [product(X0,identity,X0)]
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(b,a,c))]

Gamma_33: (resolve)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: top(X0) != b | [~(product(c,identity,c))], ~(product(c,c,identity)), ~(
product(b,b,identity)), ~(product(a,a,identity))
  4: top(X0) != b & top(X0) != b | [product(X0,identity,X0)]
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(b,a,c))]

Gamma_34: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  4: top(X0) != b & top(X0) != b | [product(X0,identity,X0)]
  5: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  6: [~(product(b,a,c))]

Gamma_35: (right-split)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  4: top(X0) != c | [product(c,identity,c)]
  5: top(X0) != c & top(X0) != c | [product(X0,identity,X0)]
  6: ~(product(c,identity,c)), [~(product(c,a,b))], ~(product(a,a,identity))
  7: [~(product(b,a,c))]

Gamma_36: (resolve)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  4: top(X0) != c | [~(product(c,c,identity))], ~(product(b,b,identity)), ~(
product(a,a,identity))
  5: top(X0) != c & top(X0) != c | [product(X0,identity,X0)]
  6: [~(product(b,a,c))]

Gamma_37: (extend-conflict)
  0: [product(X0,X0,identity)]
  1: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  3: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  4: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(product(a,a,identity))]
  5: top(X0) != c & top(X0) != c | [product(X0,identity,X0)]
  6: [~(product(b,a,c))]

Gamma_38: (move)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: [product(X0,X0,identity)]
  2: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  3: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  4: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  5: top(X0) != c & top(X0) != c | [product(X0,identity,X0)]
  6: [~(product(b,a,c))]

Gamma_39: (right-split)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: top(X0) != a | [product(a,a,identity)]
  2: top(X0) != a & top(X0) != a | [product(X0,X0,identity)]
  3: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  4: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  5: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  6: top(X0) != c & top(X0) != c | [product(X0,identity,X0)]
  7: [~(product(b,a,c))]

Gamma_40: (right-split)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: [product(a,a,identity)]
  2: top(X0) != a & top(X0) != a | [product(X0,X0,identity)]
  3: ~(product(c,identity,c)), ~(product(c,c,identity)), ~(product(b,identity,b)), ~(
product(b,b,identity)), [~(product(a,identity,a))], ~(product(a,a,identity))
  4: ~(product(c,identity,c)), ~(product(c,c,identity)), [~(product(b,identity,b))], ~(
product(b,b,identity)), ~(product(a,a,identity))
  5: [~(product(c,identity,c))], ~(product(c,c,identity)), ~(product(b,b,identity)), ~(
product(a,a,identity))
  6: top(X0) != c & top(X0) != c | [product(X0,identity,X0)]
  7: [~(product(b,a,c))]

Gamma_41: (resolve)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: [~(product(c,c,identity))], ~(product(b,b,identity))
  2: top(X0) != a & top(X0) != a | [product(X0,X0,identity)]
  3: [~(product(b,a,c))]

Gamma_42: (extend-conflict)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: ~(product(c,c,identity)), [~(product(b,b,identity))]
  2: top(X0) != a & top(X0) != a | [product(X0,X0,identity)]
  3: [~(product(b,a,c))]

Gamma_43: (right-split)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: ~(product(c,c,identity)), [~(product(b,b,identity))]
  2: top(X0) != b | [product(b,b,identity)]
  3: top(X0) != b & top(X0) != b | [product(X0,X0,identity)]
  4: [~(product(b,a,c))]

Gamma_44: (resolve)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: ~(product(c,c,identity)), [~(product(b,b,identity))]
  2: top(X0) != b | [~(product(c,c,identity))]
  3: top(X0) != b & top(X0) != b | [product(X0,X0,identity)]
  4: [~(product(b,a,c))]

Gamma_45: (extend-conflict)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: ~(product(c,c,identity)), [~(product(b,b,identity))]
  2: [~(product(c,c,identity))]
  3: top(X0) != b & top(X0) != b | [product(X0,X0,identity)]
  4: [~(product(b,a,c))]

Gamma_46: (right-split)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: ~(product(c,c,identity)), [~(product(b,b,identity))]
  2: [~(product(c,c,identity))]
  3: top(X0) != c | [product(c,c,identity)]
  4: top(X0) != c & top(X0) != c | [product(X0,X0,identity)]
  5: [~(product(b,a,c))]

Gamma_47: (resolve)
  0: ~(product(c,c,identity)), ~(product(b,b,identity)), [~(
product(a,a,identity))]
  1: ~(product(c,c,identity)), [~(product(b,b,identity))]
  2: [~(product(c,c,identity))]
  3: []
  4: top(X0) != c & top(X0) != c | [product(X0,X0,identity)]
  5: [~(product(b,a,c))]

SZS status Unsatisfiable