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

------ Parsing...successful


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

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

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

Gamma_2: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [big_q(a)], big_p(b), ~(big_p(a))

Gamma_3: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [big_q(a)], big_p(b), ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))

Gamma_4: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_q(a)], big_p(b), ~(big_p(a))

Gamma_5: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))

Gamma_6: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))

Gamma_7: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))

Gamma_8: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))

Gamma_9: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: [big_f(b)], ~(big_p(b))

Gamma_10: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: [big_f(b)], ~(big_p(b))
  7: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]

Gamma_11: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]
  7: [big_f(b)], ~(big_p(b))

Gamma_12: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]
  7: ~(big_r(b)), ~(big_g(b)), [~(big_p(b))]

Gamma_13: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]
  7: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))

Gamma_14: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  5: [big_g(b)], ~(big_p(b))
  6: [big_g(a)], ~(big_p(a))
  7: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]

Gamma_15: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  5: ~(big_r(b)), [~(big_p(b))]
  6: [big_g(a)], ~(big_p(a))

Gamma_16: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  5: ~(big_r(b)), [~(big_p(b))]
  6: [big_g(a)], ~(big_p(a))

Gamma_17: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: ~(big_r(b)), [~(big_p(b))]
  4: [big_p(b)], ~(big_p(a))
  5: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  6: [big_g(a)], ~(big_p(a))

Gamma_18: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: ~(big_r(b)), [~(big_p(b))]
  4: ~(big_r(b)), [~(big_p(a))]
  5: [big_g(a)], ~(big_p(a))

Gamma_19: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: ~(big_r(b)), [~(big_p(b))]
  4: [~(big_r(b))], ~(big_p(a))
  5: [big_g(a)], ~(big_p(a))

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

Gamma_21: (resolve)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [big_q(a)], ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_22: (extend-conflict)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [big_q(a)], ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_23: (move)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_24: (resolve)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [~(big_p(a))]
  4: [big_g(a)], ~(big_p(a))

Gamma_25: (extend-conflict)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [~(big_p(a))]
  4: [big_g(a)], ~(big_p(a))

Gamma_26: (move)
  0: [~(big_p(a))]
  1: [big_p(a)]
  2: [~(big_r(b))], ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_27: (resolve)
  0: [~(big_p(a))]
  1: []

SZS status Unsatisfiable

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

------ Parsing...successful


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

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

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

Gamma_2: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [big_q(a)], big_p(b), ~(big_p(a))

Gamma_3: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [big_q(a)], big_p(b), ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))

Gamma_4: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_q(a)], big_p(b), ~(big_p(a))

Gamma_5: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))

Gamma_6: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))

Gamma_7: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))

Gamma_8: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))

Gamma_9: (extend-no-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: [big_f(b)], ~(big_p(b))

Gamma_10: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: [big_f(b)], ~(big_p(b))
  7: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]

Gamma_11: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]
  7: [big_f(b)], ~(big_p(b))

Gamma_12: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]
  7: ~(big_r(b)), ~(big_g(b)), [~(big_p(b))]

Gamma_13: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: [big_g(b)], ~(big_p(b))
  5: [big_g(a)], ~(big_p(a))
  6: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]
  7: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))

Gamma_14: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  5: [big_g(b)], ~(big_p(b))
  6: [big_g(a)], ~(big_p(a))
  7: ~(big_r(b)), ~(big_g(b)), [~(big_f(b))]

Gamma_15: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  5: ~(big_r(b)), [~(big_p(b))]
  6: [big_g(a)], ~(big_p(a))

Gamma_16: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_p(b)], ~(big_p(a))
  4: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  5: ~(big_r(b)), [~(big_p(b))]
  6: [big_g(a)], ~(big_p(a))

Gamma_17: (move)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: ~(big_r(b)), [~(big_p(b))]
  4: [big_p(b)], ~(big_p(a))
  5: ~(big_r(b)), [~(big_g(b))], ~(big_p(b))
  6: [big_g(a)], ~(big_p(a))

Gamma_18: (resolve)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: ~(big_r(b)), [~(big_p(b))]
  4: ~(big_r(b)), [~(big_p(a))]
  5: [big_g(a)], ~(big_p(a))

Gamma_19: (extend-conflict)
  0: [big_p(a)]
  1: [big_r(b)], big_q(a), ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: ~(big_r(b)), [~(big_p(b))]
  4: [~(big_r(b))], ~(big_p(a))
  5: [big_g(a)], ~(big_p(a))

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

Gamma_21: (resolve)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [big_q(a)], ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_22: (extend-conflict)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [big_q(a)], ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_23: (move)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [big_q(a)], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_24: (resolve)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [~(big_p(a))]
  4: [big_g(a)], ~(big_p(a))

Gamma_25: (extend-conflict)
  0: [big_p(a)]
  1: [~(big_r(b))], ~(big_p(a))
  2: [~(big_q(a))], ~(big_p(a))
  3: [~(big_p(a))]
  4: [big_g(a)], ~(big_p(a))

Gamma_26: (move)
  0: [~(big_p(a))]
  1: [big_p(a)]
  2: [~(big_r(b))], ~(big_p(a))
  3: [~(big_q(a))], ~(big_p(a))
  4: [big_g(a)], ~(big_p(a))

Gamma_27: (resolve)
  0: [~(big_p(a))]
  1: []

SZS status Unsatisfiable