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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [big_i(b)]

Gamma_1: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]

Gamma_2: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]

Gamma_3: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))

Gamma_4: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))

Gamma_5: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]

Gamma_6: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))

Gamma_7: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: ~(big_h(b)), ~(big_h(a)), [big_g(a)], ~(big_i(b))

Gamma_8: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: ~(big_h(b)), ~(big_h(a)), [big_g(a)], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_9: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: [~(big_g(a))]
  8: ~(big_h(b)), ~(big_h(a)), [big_g(a)], ~(big_i(b))

Gamma_10: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: [~(big_g(a))]
  8: [~(big_h(b))], ~(big_h(a)), ~(big_i(b))

Gamma_11: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: [~(big_g(a))]
  8: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))

Gamma_12: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  7: [big_h(a)], ~(big_f(a))
  8: [~(big_g(a))]

Gamma_13: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  7: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  8: [~(big_g(a))]

Gamma_14: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  7: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  8: [~(big_g(a))]

Gamma_15: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  6: [big_f(a)]
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_16: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  6: [~(big_h(b))], ~(big_i(b))
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_17: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  6: [~(big_h(b))], ~(big_i(b))
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_18: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [~(big_h(b))], ~(big_i(b))
  4: [big_h(b)], ~(big_f(b))
  5: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  6: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_19: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [~(big_h(b))], ~(big_i(b))
  4: ~(big_i(b)), [~(big_f(b))]
  5: [~(big_g(a))]

Gamma_20: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [~(big_h(b))], ~(big_i(b))
  4: ~(big_i(b)), [~(big_f(b))]
  5: [~(big_g(a))]

Gamma_21: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), [~(big_f(b))]
  3: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_22: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), [~(big_f(b))]
  3: [~(big_i(b))], ~(big_j(b))
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_23: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), [~(big_f(b))]
  3: ~(big_i(b)), [~(big_j(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_24: (move)
  0: [big_i(b)]
  1: ~(big_i(b)), [~(big_j(b))]
  2: [big_j(b)]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_25: (resolve)
  0: [big_i(b)]
  1: ~(big_i(b)), [~(big_j(b))]
  2: [~(big_i(b))]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_26: (extend-conflict)
  0: [big_i(b)]
  1: ~(big_i(b)), [~(big_j(b))]
  2: [~(big_i(b))]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_27: (move)
  0: [~(big_i(b))]
  1: [big_i(b)]
  2: ~(big_i(b)), [~(big_j(b))]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_28: (resolve)
  0: [~(big_i(b))]
  1: []
  2: [~(big_g(a))]

SZS status Unsatisfiable

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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [big_i(b)]

Gamma_1: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]

Gamma_2: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]

Gamma_3: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))

Gamma_4: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))

Gamma_5: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]

Gamma_6: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))

Gamma_7: (extend-no-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: ~(big_h(b)), ~(big_h(a)), [big_g(a)], ~(big_i(b))

Gamma_8: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: ~(big_h(b)), ~(big_h(a)), [big_g(a)], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_9: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: [~(big_g(a))]
  8: ~(big_h(b)), ~(big_h(a)), [big_g(a)], ~(big_i(b))

Gamma_10: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: [~(big_g(a))]
  8: [~(big_h(b))], ~(big_h(a)), ~(big_i(b))

Gamma_11: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: [big_h(a)], ~(big_f(a))
  7: [~(big_g(a))]
  8: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))

Gamma_12: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  7: [big_h(a)], ~(big_f(a))
  8: [~(big_g(a))]

Gamma_13: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  7: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  8: [~(big_g(a))]

Gamma_14: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: [big_f(a)]
  6: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  7: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  8: [~(big_g(a))]

Gamma_15: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  6: [big_f(a)]
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_16: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  6: [~(big_h(b))], ~(big_i(b))
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_17: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [big_h(b)], ~(big_f(b))
  4: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  5: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  6: [~(big_h(b))], ~(big_i(b))
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_18: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [~(big_h(b))], ~(big_i(b))
  4: [big_h(b)], ~(big_f(b))
  5: ~(big_h(b)), [big_g(b)], ~(big_i(b))
  6: ~(big_h(b)), ~(big_i(b)), [~(big_f(a))]
  7: ~(big_h(b)), [~(big_h(a))], ~(big_i(b))
  8: [~(big_g(a))]

Gamma_19: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [~(big_h(b))], ~(big_i(b))
  4: ~(big_i(b)), [~(big_f(b))]
  5: [~(big_g(a))]

Gamma_20: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  3: [~(big_h(b))], ~(big_i(b))
  4: ~(big_i(b)), [~(big_f(b))]
  5: [~(big_g(a))]

Gamma_21: (move)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), [~(big_f(b))]
  3: ~(big_i(b)), ~(big_j(b)), [big_f(b)]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_22: (resolve)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), [~(big_f(b))]
  3: [~(big_i(b))], ~(big_j(b))
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_23: (extend-conflict)
  0: [big_i(b)]
  1: [big_j(b)]
  2: ~(big_i(b)), [~(big_f(b))]
  3: ~(big_i(b)), [~(big_j(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_24: (move)
  0: [big_i(b)]
  1: ~(big_i(b)), [~(big_j(b))]
  2: [big_j(b)]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_25: (resolve)
  0: [big_i(b)]
  1: ~(big_i(b)), [~(big_j(b))]
  2: [~(big_i(b))]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_26: (extend-conflict)
  0: [big_i(b)]
  1: ~(big_i(b)), [~(big_j(b))]
  2: [~(big_i(b))]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_27: (move)
  0: [~(big_i(b))]
  1: [big_i(b)]
  2: ~(big_i(b)), [~(big_j(b))]
  3: ~(big_i(b)), [~(big_f(b))]
  4: [~(big_h(b))], ~(big_i(b))
  5: [~(big_g(a))]

Gamma_28: (resolve)
  0: [~(big_i(b))]
  1: []
  2: [~(big_g(a))]

SZS status Unsatisfiable