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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)

Gamma_1: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))

Gamma_2: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]

Gamma_3: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: [s(esk1_0)], ~(r(esk1_0))

Gamma_4: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: [s(esk1_0)], ~(r(esk1_0))
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_5: (move)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))
  4: [s(esk1_0)], ~(r(esk1_0))

Gamma_6: (resolve)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]

Gamma_7: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]

Gamma_8: (move)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  3: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_9: (resolve)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  3: [~(s(esk2_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_10: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  3: [~(s(esk2_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_11: (move)
  0: [r(esk2_0)], r(esk1_0)
  1: [~(s(esk2_0))], ~(r(esk2_0))
  2: [s(esk2_0)], ~(r(esk2_0))
  3: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_12: (resolve)
  0: [r(esk2_0)], r(esk1_0)
  1: [~(s(esk2_0))], ~(r(esk2_0))
  2: [~(r(esk2_0))]

Gamma_13: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [~(s(esk2_0))], ~(r(esk2_0))
  2: [~(r(esk2_0))]

Gamma_14: (move)
  0: [~(r(esk2_0))]
  1: [r(esk2_0)], r(esk1_0)
  2: [~(s(esk2_0))], ~(r(esk2_0))

Gamma_15: (resolve)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]

Gamma_16: (extend-no-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]

Gamma_17: (extend-no-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [s(esk1_0)], ~(r(esk1_0))

Gamma_18: (extend-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [s(esk1_0)], ~(r(esk1_0))
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_19: (move)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [~(s(esk1_0))], r(esk2_0)
  3: [s(esk1_0)], ~(r(esk1_0))

Gamma_20: (resolve)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [~(s(esk1_0))], r(esk2_0)
  3: r(esk2_0), [~(r(esk1_0))]

Gamma_21: (extend-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [~(s(esk1_0))], r(esk2_0)
  3: r(esk2_0), [~(r(esk1_0))]

Gamma_22: (move)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: [r(esk1_0)]
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_23: (resolve)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: [r(esk2_0)]
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_24: (extend-conflict)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: [r(esk2_0)]
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_25: (resolve)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: []
  3: [~(s(esk1_0))], r(esk2_0)

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)

Gamma_1: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))

Gamma_2: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]

Gamma_3: (extend-no-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: [s(esk1_0)], ~(r(esk1_0))

Gamma_4: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: [s(esk1_0)], ~(r(esk1_0))
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_5: (move)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))
  4: [s(esk1_0)], ~(r(esk1_0))

Gamma_6: (resolve)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]

Gamma_7: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  3: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]

Gamma_8: (move)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  3: ~(s(esk2_0)), ~(r(esk2_0)), [r(esk1_0)]
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_9: (resolve)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  3: [~(s(esk2_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_10: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [s(esk2_0)], ~(r(esk2_0))
  2: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  3: [~(s(esk2_0))], ~(r(esk2_0))
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_11: (move)
  0: [r(esk2_0)], r(esk1_0)
  1: [~(s(esk2_0))], ~(r(esk2_0))
  2: [s(esk2_0)], ~(r(esk2_0))
  3: ~(s(esk2_0)), ~(r(esk2_0)), [~(r(esk1_0))]
  4: ~(s(esk2_0)), [~(s(esk1_0))], ~(r(esk2_0))

Gamma_12: (resolve)
  0: [r(esk2_0)], r(esk1_0)
  1: [~(s(esk2_0))], ~(r(esk2_0))
  2: [~(r(esk2_0))]

Gamma_13: (extend-conflict)
  0: [r(esk2_0)], r(esk1_0)
  1: [~(s(esk2_0))], ~(r(esk2_0))
  2: [~(r(esk2_0))]

Gamma_14: (move)
  0: [~(r(esk2_0))]
  1: [r(esk2_0)], r(esk1_0)
  2: [~(s(esk2_0))], ~(r(esk2_0))

Gamma_15: (resolve)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]

Gamma_16: (extend-no-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]

Gamma_17: (extend-no-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [s(esk1_0)], ~(r(esk1_0))

Gamma_18: (extend-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [s(esk1_0)], ~(r(esk1_0))
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_19: (move)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [~(s(esk1_0))], r(esk2_0)
  3: [s(esk1_0)], ~(r(esk1_0))

Gamma_20: (resolve)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [~(s(esk1_0))], r(esk2_0)
  3: r(esk2_0), [~(r(esk1_0))]

Gamma_21: (extend-conflict)
  0: [~(r(esk2_0))]
  1: [r(esk1_0)]
  2: [~(s(esk1_0))], r(esk2_0)
  3: r(esk2_0), [~(r(esk1_0))]

Gamma_22: (move)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: [r(esk1_0)]
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_23: (resolve)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: [r(esk2_0)]
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_24: (extend-conflict)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: [r(esk2_0)]
  3: [~(s(esk1_0))], r(esk2_0)

Gamma_25: (resolve)
  0: [~(r(esk2_0))]
  1: r(esk2_0), [~(r(esk1_0))]
  2: []
  3: [~(s(esk1_0))], r(esk2_0)

SZS status Unsatisfiable