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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [big_q(b)], big_p(a)

Gamma_1: (extend-no-conflict)
  0: [big_q(b)], big_p(a)
  1: [big_s(b)], ~(big_q(b))

Gamma_2: (extend-conflict)
  0: [big_q(b)], big_p(a)
  1: [big_s(b)], ~(big_q(b))
  2: [~(big_s(b))], ~(big_q(b))

Gamma_3: (move)
  0: [big_q(b)], big_p(a)
  1: [~(big_s(b))], ~(big_q(b))
  2: [big_s(b)], ~(big_q(b))

Gamma_4: (resolve)
  0: [big_q(b)], big_p(a)
  1: [~(big_s(b))], ~(big_q(b))
  2: [~(big_q(b))]

Gamma_5: (extend-conflict)
  0: [big_q(b)], big_p(a)
  1: [~(big_s(b))], ~(big_q(b))
  2: [~(big_q(b))]

Gamma_6: (move)
  0: [~(big_q(b))]
  1: [big_q(b)], big_p(a)
  2: [~(big_s(b))], ~(big_q(b))

Gamma_7: (resolve)
  0: [~(big_q(b))]
  1: [big_p(a)]

Gamma_8: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]

Gamma_9: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [big_r(a)], big_q(a), ~(big_p(a))

Gamma_10: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [big_r(a)], big_q(a), ~(big_p(a))
  3: [~(big_r(a))], ~(big_p(a))

Gamma_11: (move)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_r(a)], big_q(a), ~(big_p(a))

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

Gamma_13: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))

Gamma_14: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [big_s(a)], ~(big_q(a))

Gamma_15: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [big_s(a)], ~(big_q(a))
  5: [~(big_s(a))], ~(big_q(a))

Gamma_16: (move)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [~(big_s(a))], ~(big_q(a))
  5: [big_s(a)], ~(big_q(a))

Gamma_17: (resolve)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [~(big_s(a))], ~(big_q(a))
  5: [~(big_q(a))]

Gamma_18: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [~(big_s(a))], ~(big_q(a))
  5: [~(big_q(a))]

Gamma_19: (move)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [~(big_q(a))]
  4: [big_q(a)], ~(big_p(a))
  5: [~(big_s(a))], ~(big_q(a))

Gamma_20: (resolve)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [~(big_q(a))]
  4: [~(big_p(a))]

Gamma_21: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [~(big_q(a))]
  4: [~(big_p(a))]

Gamma_22: (move)
  0: [~(big_q(b))]
  1: [~(big_p(a))]
  2: [big_p(a)]
  3: [~(big_r(a))], ~(big_p(a))
  4: [~(big_q(a))]

Gamma_23: (resolve)
  0: [~(big_q(b))]
  1: [~(big_p(a))]
  2: []
  3: [~(big_q(a))]

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [big_q(b)], big_p(a)

Gamma_1: (extend-no-conflict)
  0: [big_q(b)], big_p(a)
  1: [big_s(b)], ~(big_q(b))

Gamma_2: (extend-conflict)
  0: [big_q(b)], big_p(a)
  1: [big_s(b)], ~(big_q(b))
  2: [~(big_s(b))], ~(big_q(b))

Gamma_3: (move)
  0: [big_q(b)], big_p(a)
  1: [~(big_s(b))], ~(big_q(b))
  2: [big_s(b)], ~(big_q(b))

Gamma_4: (resolve)
  0: [big_q(b)], big_p(a)
  1: [~(big_s(b))], ~(big_q(b))
  2: [~(big_q(b))]

Gamma_5: (extend-conflict)
  0: [big_q(b)], big_p(a)
  1: [~(big_s(b))], ~(big_q(b))
  2: [~(big_q(b))]

Gamma_6: (move)
  0: [~(big_q(b))]
  1: [big_q(b)], big_p(a)
  2: [~(big_s(b))], ~(big_q(b))

Gamma_7: (resolve)
  0: [~(big_q(b))]
  1: [big_p(a)]

Gamma_8: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]

Gamma_9: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [big_r(a)], big_q(a), ~(big_p(a))

Gamma_10: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [big_r(a)], big_q(a), ~(big_p(a))
  3: [~(big_r(a))], ~(big_p(a))

Gamma_11: (move)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_r(a)], big_q(a), ~(big_p(a))

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

Gamma_13: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))

Gamma_14: (extend-no-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [big_s(a)], ~(big_q(a))

Gamma_15: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [big_s(a)], ~(big_q(a))
  5: [~(big_s(a))], ~(big_q(a))

Gamma_16: (move)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [~(big_s(a))], ~(big_q(a))
  5: [big_s(a)], ~(big_q(a))

Gamma_17: (resolve)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [~(big_s(a))], ~(big_q(a))
  5: [~(big_q(a))]

Gamma_18: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [~(big_s(a))], ~(big_q(a))
  5: [~(big_q(a))]

Gamma_19: (move)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [~(big_q(a))]
  4: [big_q(a)], ~(big_p(a))
  5: [~(big_s(a))], ~(big_q(a))

Gamma_20: (resolve)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [~(big_q(a))]
  4: [~(big_p(a))]

Gamma_21: (extend-conflict)
  0: [~(big_q(b))]
  1: [big_p(a)]
  2: [~(big_r(a))], ~(big_p(a))
  3: [~(big_q(a))]
  4: [~(big_p(a))]

Gamma_22: (move)
  0: [~(big_q(b))]
  1: [~(big_p(a))]
  2: [big_p(a)]
  3: [~(big_r(a))], ~(big_p(a))
  4: [~(big_q(a))]

Gamma_23: (resolve)
  0: [~(big_q(b))]
  1: [~(big_p(a))]
  2: []
  3: [~(big_q(a))]

SZS status Unsatisfiable