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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [p1], p2, p3

Gamma_1: (extend-no-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3

Gamma_2: (extend-no-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [p3]

Gamma_3: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [p3]
  3: ~(p1), ~(p2), [~(p3)]

Gamma_4: (move)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [~(p3)]
  3: ~(p1), ~(p2), [p3]

Gamma_5: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [~(p3)]
  3: [~(p1)], ~(p2)

Gamma_6: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [~(p3)]
  3: ~(p1), [~(p2)]

Gamma_7: (move)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), [p2], p3
  3: ~(p1), ~(p2), [~(p3)]

Gamma_8: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: [~(p1)], p3

Gamma_9: (extend-no-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), [p3]

Gamma_10: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), [p3]
  3: ~(p1), p2, [~(p3)]

Gamma_11: (move)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: ~(p1), [p3]

Gamma_12: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: [~(p1)], p2

Gamma_13: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: ~(p1), [p2]

Gamma_14: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: [~(p1)]

Gamma_15: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: [~(p1)]

Gamma_16: (move)
  0: [~(p1)]
  1: [p1], p2, p3
  2: ~(p1), [~(p2)]
  3: ~(p1), p2, [~(p3)]

Gamma_17: (resolve)
  0: [~(p1)]
  1: [p2], p3

Gamma_18: (extend-no-conflict)
  0: [~(p1)]
  1: [p2], p3

Gamma_19: (extend-no-conflict)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [p3]

Gamma_20: (extend-conflict)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [p3]
  3: p1, ~(p2), [~(p3)]

Gamma_21: (move)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [~(p3)]
  3: p1, ~(p2), [p3]

Gamma_22: (resolve)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [~(p3)]
  3: [p1], ~(p2)

Gamma_23: (extend-conflict)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [~(p3)]
  3: p1, [~(p2)]

Gamma_24: (move)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: [p2], p3
  3: p1, ~(p2), [~(p3)]

Gamma_25: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, [p3]

Gamma_26: (extend-no-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, [p3]

Gamma_27: (extend-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, [p3]
  3: p1, p2, [~(p3)]

Gamma_28: (move)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: p1, [p3]

Gamma_29: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: [p1], p2

Gamma_30: (extend-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: p1, [p2]

Gamma_31: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: [p1]

Gamma_32: (extend-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: [p1]

Gamma_33: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: []

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [p1], p2, p3

Gamma_1: (extend-no-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3

Gamma_2: (extend-no-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [p3]

Gamma_3: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [p3]
  3: ~(p1), ~(p2), [~(p3)]

Gamma_4: (move)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [~(p3)]
  3: ~(p1), ~(p2), [p3]

Gamma_5: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [~(p3)]
  3: [~(p1)], ~(p2)

Gamma_6: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [p2], p3
  2: ~(p1), ~(p2), [~(p3)]
  3: ~(p1), [~(p2)]

Gamma_7: (move)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), [p2], p3
  3: ~(p1), ~(p2), [~(p3)]

Gamma_8: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: [~(p1)], p3

Gamma_9: (extend-no-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), [p3]

Gamma_10: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), [p3]
  3: ~(p1), p2, [~(p3)]

Gamma_11: (move)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: ~(p1), [p3]

Gamma_12: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: [~(p1)], p2

Gamma_13: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: ~(p1), [p2]

Gamma_14: (resolve)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: [~(p1)]

Gamma_15: (extend-conflict)
  0: [p1], p2, p3
  1: ~(p1), [~(p2)]
  2: ~(p1), p2, [~(p3)]
  3: [~(p1)]

Gamma_16: (move)
  0: [~(p1)]
  1: [p1], p2, p3
  2: ~(p1), [~(p2)]
  3: ~(p1), p2, [~(p3)]

Gamma_17: (resolve)
  0: [~(p1)]
  1: [p2], p3

Gamma_18: (extend-no-conflict)
  0: [~(p1)]
  1: [p2], p3

Gamma_19: (extend-no-conflict)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [p3]

Gamma_20: (extend-conflict)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [p3]
  3: p1, ~(p2), [~(p3)]

Gamma_21: (move)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [~(p3)]
  3: p1, ~(p2), [p3]

Gamma_22: (resolve)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [~(p3)]
  3: [p1], ~(p2)

Gamma_23: (extend-conflict)
  0: [~(p1)]
  1: [p2], p3
  2: p1, ~(p2), [~(p3)]
  3: p1, [~(p2)]

Gamma_24: (move)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: [p2], p3
  3: p1, ~(p2), [~(p3)]

Gamma_25: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, [p3]

Gamma_26: (extend-no-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, [p3]

Gamma_27: (extend-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, [p3]
  3: p1, p2, [~(p3)]

Gamma_28: (move)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: p1, [p3]

Gamma_29: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: [p1], p2

Gamma_30: (extend-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: p1, [p2]

Gamma_31: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: [p1]

Gamma_32: (extend-conflict)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: [p1]

Gamma_33: (resolve)
  0: [~(p1)]
  1: p1, [~(p2)]
  2: p1, p2, [~(p3)]
  3: []

SZS status Unsatisfiable