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

------ Parsing...successful


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

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

Gamma_1: (extend-no-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [big_r(esk1_0)], ~(big_p(esk1_0)), big_q(esk1_0)

Gamma_2: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [big_r(esk1_0)], ~(big_p(esk1_0)), big_q(esk1_0)
  2: [~(big_r(esk1_0))], ~(big_p(esk1_0))

Gamma_3: (move)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [big_r(esk1_0)], ~(big_p(esk1_0)), big_q(esk1_0)

Gamma_4: (resolve)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_p(esk1_0))], big_q(esk1_0)

Gamma_5: (extend-no-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]

Gamma_6: (extend-no-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [big_s(esk1_0)], ~(big_q(esk1_0))

Gamma_7: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [big_s(esk1_0)], ~(big_q(esk1_0))
  4: [~(big_s(esk1_0))], ~(big_q(esk1_0))

Gamma_8: (move)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [~(big_s(esk1_0))], ~(big_q(esk1_0))
  4: [big_s(esk1_0)], ~(big_q(esk1_0))

Gamma_9: (resolve)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [~(big_s(esk1_0))], ~(big_q(esk1_0))
  4: [~(big_q(esk1_0))]

Gamma_10: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [~(big_s(esk1_0))], ~(big_q(esk1_0))
  4: [~(big_q(esk1_0))]

Gamma_11: (move)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_q(esk1_0))]
  3: ~(big_p(esk1_0)), [big_q(esk1_0)]
  4: [~(big_s(esk1_0))], ~(big_q(esk1_0))

Gamma_12: (resolve)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_q(esk1_0))]
  3: [~(big_p(esk1_0))]

Gamma_13: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_q(esk1_0))]
  3: [~(big_p(esk1_0))]

Gamma_14: (move)
  0: [~(big_p(esk1_0))]
  1: [big_p(esk1_0)], big_q(esk2_0)
  2: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  3: [~(big_q(esk1_0))]

Gamma_15: (resolve)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]

Gamma_16: (extend-no-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]

Gamma_17: (extend-no-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [big_s(esk2_0)], ~(big_q(esk2_0))

Gamma_18: (extend-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [big_s(esk2_0)], ~(big_q(esk2_0))
  4: [~(big_s(esk2_0))], ~(big_q(esk2_0))

Gamma_19: (move)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [~(big_s(esk2_0))], ~(big_q(esk2_0))
  4: [big_s(esk2_0)], ~(big_q(esk2_0))

Gamma_20: (resolve)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [~(big_s(esk2_0))], ~(big_q(esk2_0))
  4: [~(big_q(esk2_0))]

Gamma_21: (extend-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [~(big_s(esk2_0))], ~(big_q(esk2_0))
  4: [~(big_q(esk2_0))]

Gamma_22: (move)
  0: [~(big_p(esk1_0))]
  1: [~(big_q(esk2_0))]
  2: [big_q(esk2_0)]
  3: [~(big_q(esk1_0))]
  4: [~(big_s(esk2_0))], ~(big_q(esk2_0))

Gamma_23: (resolve)
  0: [~(big_p(esk1_0))]
  1: [~(big_q(esk2_0))]
  2: []
  3: [~(big_q(esk1_0))]

SZS status Unsatisfiable

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

------ Parsing...successful


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

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

Gamma_1: (extend-no-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [big_r(esk1_0)], ~(big_p(esk1_0)), big_q(esk1_0)

Gamma_2: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [big_r(esk1_0)], ~(big_p(esk1_0)), big_q(esk1_0)
  2: [~(big_r(esk1_0))], ~(big_p(esk1_0))

Gamma_3: (move)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [big_r(esk1_0)], ~(big_p(esk1_0)), big_q(esk1_0)

Gamma_4: (resolve)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_p(esk1_0))], big_q(esk1_0)

Gamma_5: (extend-no-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]

Gamma_6: (extend-no-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [big_s(esk1_0)], ~(big_q(esk1_0))

Gamma_7: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [big_s(esk1_0)], ~(big_q(esk1_0))
  4: [~(big_s(esk1_0))], ~(big_q(esk1_0))

Gamma_8: (move)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [~(big_s(esk1_0))], ~(big_q(esk1_0))
  4: [big_s(esk1_0)], ~(big_q(esk1_0))

Gamma_9: (resolve)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [~(big_s(esk1_0))], ~(big_q(esk1_0))
  4: [~(big_q(esk1_0))]

Gamma_10: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: ~(big_p(esk1_0)), [big_q(esk1_0)]
  3: [~(big_s(esk1_0))], ~(big_q(esk1_0))
  4: [~(big_q(esk1_0))]

Gamma_11: (move)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_q(esk1_0))]
  3: ~(big_p(esk1_0)), [big_q(esk1_0)]
  4: [~(big_s(esk1_0))], ~(big_q(esk1_0))

Gamma_12: (resolve)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_q(esk1_0))]
  3: [~(big_p(esk1_0))]

Gamma_13: (extend-conflict)
  0: [big_p(esk1_0)], big_q(esk2_0)
  1: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  2: [~(big_q(esk1_0))]
  3: [~(big_p(esk1_0))]

Gamma_14: (move)
  0: [~(big_p(esk1_0))]
  1: [big_p(esk1_0)], big_q(esk2_0)
  2: [~(big_r(esk1_0))], ~(big_p(esk1_0))
  3: [~(big_q(esk1_0))]

Gamma_15: (resolve)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]

Gamma_16: (extend-no-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]

Gamma_17: (extend-no-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [big_s(esk2_0)], ~(big_q(esk2_0))

Gamma_18: (extend-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [big_s(esk2_0)], ~(big_q(esk2_0))
  4: [~(big_s(esk2_0))], ~(big_q(esk2_0))

Gamma_19: (move)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [~(big_s(esk2_0))], ~(big_q(esk2_0))
  4: [big_s(esk2_0)], ~(big_q(esk2_0))

Gamma_20: (resolve)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [~(big_s(esk2_0))], ~(big_q(esk2_0))
  4: [~(big_q(esk2_0))]

Gamma_21: (extend-conflict)
  0: [~(big_p(esk1_0))]
  1: [big_q(esk2_0)]
  2: [~(big_q(esk1_0))]
  3: [~(big_s(esk2_0))], ~(big_q(esk2_0))
  4: [~(big_q(esk2_0))]

Gamma_22: (move)
  0: [~(big_p(esk1_0))]
  1: [~(big_q(esk2_0))]
  2: [big_q(esk2_0)]
  3: [~(big_q(esk1_0))]
  4: [~(big_s(esk2_0))], ~(big_q(esk2_0))

Gamma_23: (resolve)
  0: [~(big_p(esk1_0))]
  1: [~(big_q(esk2_0))]
  2: []
  3: [~(big_q(esk1_0))]

SZS status Unsatisfiable