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

------ Parsing...successful


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

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

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

Gamma_2: (extend-no-conflict)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: [p]

Gamma_3: (extend-conflict)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: [p]
  3: ~(big_q(esk2_0)), [~(p)]

Gamma_4: (move)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: ~(big_q(esk2_0)), [~(p)]
  3: [p]

Gamma_5: (resolve)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: ~(big_q(esk2_0)), [~(p)]
  3: [~(big_q(esk2_0))]

Gamma_6: (extend-conflict)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: ~(big_q(esk2_0)), [~(p)]
  3: [~(big_q(esk2_0))]

Gamma_7: (move)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk2_0)], big_q(esk1_0)
  2: [big_q(esk1_0)], p
  3: ~(big_q(esk2_0)), [~(p)]

Gamma_8: (resolve)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: [big_q(esk1_0)], p

Gamma_9: (extend-no-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]

Gamma_10: (extend-no-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: big_q(esk2_0), [p]

Gamma_11: (extend-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: big_q(esk2_0), [p]
  3: ~(big_q(esk1_0)), [~(p)]

Gamma_12: (move)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: ~(big_q(esk1_0)), [~(p)]
  3: big_q(esk2_0), [p]

Gamma_13: (resolve)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: ~(big_q(esk1_0)), [~(p)]
  3: [big_q(esk2_0)], ~(big_q(esk1_0))

Gamma_14: (extend-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: ~(big_q(esk1_0)), [~(p)]
  3: big_q(esk2_0), [~(big_q(esk1_0))]

Gamma_15: (move)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: [big_q(esk1_0)]
  3: ~(big_q(esk1_0)), [~(p)]

Gamma_16: (resolve)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: [big_q(esk2_0)]

Gamma_17: (extend-conflict)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: [big_q(esk2_0)]

Gamma_18: (resolve)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: []

SZS status Unsatisfiable

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

------ Parsing...successful


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

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

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

Gamma_2: (extend-no-conflict)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: [p]

Gamma_3: (extend-conflict)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: [p]
  3: ~(big_q(esk2_0)), [~(p)]

Gamma_4: (move)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: ~(big_q(esk2_0)), [~(p)]
  3: [p]

Gamma_5: (resolve)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: ~(big_q(esk2_0)), [~(p)]
  3: [~(big_q(esk2_0))]

Gamma_6: (extend-conflict)
  0: [big_q(esk2_0)], big_q(esk1_0)
  1: [big_q(esk1_0)], p
  2: ~(big_q(esk2_0)), [~(p)]
  3: [~(big_q(esk2_0))]

Gamma_7: (move)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk2_0)], big_q(esk1_0)
  2: [big_q(esk1_0)], p
  3: ~(big_q(esk2_0)), [~(p)]

Gamma_8: (resolve)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: [big_q(esk1_0)], p

Gamma_9: (extend-no-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]

Gamma_10: (extend-no-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: big_q(esk2_0), [p]

Gamma_11: (extend-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: big_q(esk2_0), [p]
  3: ~(big_q(esk1_0)), [~(p)]

Gamma_12: (move)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: ~(big_q(esk1_0)), [~(p)]
  3: big_q(esk2_0), [p]

Gamma_13: (resolve)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: ~(big_q(esk1_0)), [~(p)]
  3: [big_q(esk2_0)], ~(big_q(esk1_0))

Gamma_14: (extend-conflict)
  0: [~(big_q(esk2_0))]
  1: [big_q(esk1_0)]
  2: ~(big_q(esk1_0)), [~(p)]
  3: big_q(esk2_0), [~(big_q(esk1_0))]

Gamma_15: (move)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: [big_q(esk1_0)]
  3: ~(big_q(esk1_0)), [~(p)]

Gamma_16: (resolve)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: [big_q(esk2_0)]

Gamma_17: (extend-conflict)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: [big_q(esk2_0)]

Gamma_18: (resolve)
  0: [~(big_q(esk2_0))]
  1: big_q(esk2_0), [~(big_q(esk1_0))]
  2: []

SZS status Unsatisfiable