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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]

Gamma_1: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]

Gamma_2: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))

Gamma_3: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]

Gamma_4: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))

Gamma_5: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]

Gamma_6: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]

Gamma_7: (extend-no-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]
  7: [intersect(esk3_0,esk4_0)], ~(member(esk1_2(esk4_0,esk3_0),esk3_0)), ~(
member(esk1_2(esk4_0,esk3_0),esk4_0))

Gamma_8: (extend-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]
  7: [intersect(esk3_0,esk4_0)], ~(member(esk1_2(esk4_0,esk3_0),esk3_0)), ~(
member(esk1_2(esk4_0,esk3_0),esk4_0))
  8: [~(intersect(esk3_0,esk4_0))]

Gamma_9: (move)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]
  7: [~(intersect(esk3_0,esk4_0))]
  8: [intersect(esk3_0,esk4_0)], ~(member(esk1_2(esk4_0,esk3_0),esk3_0)), ~(
member(esk1_2(esk4_0,esk3_0),esk4_0))

Gamma_10: (resolve)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]
  7: [~(intersect(esk3_0,esk4_0))]
  8: [~(member(esk1_2(esk4_0,esk3_0),esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))

Gamma_11: (extend-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]
  7: [~(intersect(esk3_0,esk4_0))]
  8: [~(member(esk1_2(esk4_0,esk3_0),esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))

Gamma_12: (move)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: [~(member(esk1_2(esk4_0,esk3_0),esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))
  7: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk3_0)]
  8: [~(intersect(esk3_0,esk4_0))]

Gamma_13: (resolve)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: [~(member(esk1_2(esk4_0,esk3_0),esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))
  7: [~(intersect(esk4_0,esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))
  8: [~(intersect(esk3_0,esk4_0))]

Gamma_14: (extend-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  6: [~(member(esk1_2(esk4_0,esk3_0),esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))
  7: ~(intersect(esk4_0,esk3_0)), [~(member(esk1_2(esk4_0,esk3_0),esk4_0))]
  8: [~(intersect(esk3_0,esk4_0))]

Gamma_15: (move)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [~(member(esk1_2(esk4_0,esk3_0),esk4_0))]
  6: ~(intersect(esk4_0,esk3_0)), [member(esk1_2(esk4_0,esk3_0),esk4_0)]
  7: [~(member(esk1_2(esk4_0,esk3_0),esk3_0))], ~(member(esk1_2(esk4_0,esk3_0),esk4_0))
  8: [~(intersect(esk3_0,esk4_0))]

Gamma_16: (resolve)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [~(member(esk1_2(esk4_0,esk3_0),esk4_0))]
  6: [~(intersect(esk4_0,esk3_0))]
  7: [~(intersect(esk3_0,esk4_0))]

Gamma_17: (extend-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  5: ~(intersect(esk4_0,esk3_0)), [~(member(esk1_2(esk4_0,esk3_0),esk4_0))]
  6: [~(intersect(esk4_0,esk3_0))]
  7: [~(intersect(esk3_0,esk4_0))]

Gamma_18: (move)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [~(intersect(esk4_0,esk3_0))]
  5: [intersect(esk4_0,esk3_0)], ~(member(esk2_0,esk3_0)), ~(member(esk2_0,esk4_0))
  6: ~(intersect(esk4_0,esk3_0)), [~(member(esk1_2(esk4_0,esk3_0),esk4_0))]
  7: [~(intersect(esk3_0,esk4_0))]

Gamma_19: (resolve)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [~(intersect(esk4_0,esk3_0))]
  5: [~(member(esk2_0,esk3_0))], ~(member(esk2_0,esk4_0))
  6: [~(intersect(esk3_0,esk4_0))]

Gamma_20: (extend-conflict)
  0: [member(esk2_0,esk3_0)]
  1: [member(esk2_0,esk4_0)]
  2: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  3: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  4: [~(intersect(esk4_0,esk3_0))]
  5: ~(member(esk2_0,esk3_0)), [~(member(esk2_0,esk4_0))]
  6: [~(intersect(esk3_0,esk4_0))]

Gamma_21: (move)
  0: [member(esk2_0,esk3_0)]
  1: ~(member(esk2_0,esk3_0)), [~(member(esk2_0,esk4_0))]
  2: [member(esk2_0,esk4_0)]
  3: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  4: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  5: [~(intersect(esk4_0,esk3_0))]
  6: [~(intersect(esk3_0,esk4_0))]

Gamma_22: (resolve)
  0: [member(esk2_0,esk3_0)]
  1: ~(member(esk2_0,esk3_0)), [~(member(esk2_0,esk4_0))]
  2: [~(member(esk2_0,esk3_0))]
  3: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  4: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  5: [~(intersect(esk4_0,esk3_0))]
  6: [~(intersect(esk3_0,esk4_0))]

Gamma_23: (extend-conflict)
  0: [member(esk2_0,esk3_0)]
  1: ~(member(esk2_0,esk3_0)), [~(member(esk2_0,esk4_0))]
  2: [~(member(esk2_0,esk3_0))]
  3: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  4: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  5: [~(intersect(esk4_0,esk3_0))]
  6: [~(intersect(esk3_0,esk4_0))]

Gamma_24: (move)
  0: [~(member(esk2_0,esk3_0))]
  1: [member(esk2_0,esk3_0)]
  2: ~(member(esk2_0,esk3_0)), [~(member(esk2_0,esk4_0))]
  3: [intersect(esk3_0,esk3_0)], ~(member(esk2_0,esk3_0))
  4: ~(intersect(esk3_0,esk3_0)), [member(esk1_2(esk3_0,esk3_0),esk3_0)]
  5: [~(intersect(esk4_0,esk3_0))]
  6: [~(intersect(esk3_0,esk4_0))]

Gamma_25: (resolve)
  0: [~(member(esk2_0,esk3_0))]
  1: []
  2: [~(intersect(esk4_0,esk3_0))]
  3: [~(intersect(esk3_0,esk4_0))]

SZS status Unsatisfiable