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

------ Parsing...successful


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

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

Gamma_1: (extend-no-conflict)
  0: [big_k(a)]
  1: [big_f(a)]

Gamma_2: (extend-no-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))

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

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

Gamma_5: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: ~(big_i(a)), ~(big_h(a)), [big_j(a)]
  5: [~(big_j(a))]

Gamma_6: (move)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: [~(big_j(a))]
  5: ~(big_i(a)), ~(big_h(a)), [big_j(a)]

Gamma_7: (resolve)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: [~(big_j(a))]
  5: [~(big_i(a))], ~(big_h(a))

Gamma_8: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: [~(big_j(a))]
  5: [~(big_i(a))], ~(big_h(a))

Gamma_9: (move)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [~(big_i(a))], ~(big_h(a))
  4: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  5: [~(big_j(a))]

Gamma_10: (resolve)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [~(big_i(a))], ~(big_h(a))
  4: [~(big_h(a))], ~(big_f(a))
  5: [~(big_j(a))]

Gamma_11: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [~(big_i(a))], ~(big_h(a))
  4: [~(big_h(a))], ~(big_f(a))
  5: [~(big_j(a))]

Gamma_12: (move)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [~(big_h(a))], ~(big_f(a))
  3: [big_h(a)], ~(big_k(a))
  4: [~(big_i(a))], ~(big_h(a))
  5: [~(big_j(a))]

Gamma_13: (resolve)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [~(big_h(a))], ~(big_f(a))
  3: [~(big_k(a))], ~(big_f(a))
  4: [~(big_j(a))]

Gamma_14: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [~(big_h(a))], ~(big_f(a))
  3: ~(big_k(a)), [~(big_f(a))]
  4: [~(big_j(a))]

Gamma_15: (move)
  0: [big_k(a)]
  1: ~(big_k(a)), [~(big_f(a))]
  2: [big_f(a)]
  3: [~(big_h(a))], ~(big_f(a))
  4: [~(big_j(a))]

Gamma_16: (resolve)
  0: [big_k(a)]
  1: ~(big_k(a)), [~(big_f(a))]
  2: [~(big_k(a))]
  3: [~(big_j(a))]

Gamma_17: (extend-conflict)
  0: [big_k(a)]
  1: ~(big_k(a)), [~(big_f(a))]
  2: [~(big_k(a))]
  3: [~(big_j(a))]

Gamma_18: (move)
  0: [~(big_k(a))]
  1: [big_k(a)]
  2: ~(big_k(a)), [~(big_f(a))]
  3: [~(big_j(a))]

Gamma_19: (resolve)
  0: [~(big_k(a))]
  1: []
  2: [~(big_j(a))]

SZS status Unsatisfiable

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

------ Parsing...successful


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

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

Gamma_1: (extend-no-conflict)
  0: [big_k(a)]
  1: [big_f(a)]

Gamma_2: (extend-no-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))

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

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

Gamma_5: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: ~(big_i(a)), ~(big_h(a)), [big_j(a)]
  5: [~(big_j(a))]

Gamma_6: (move)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: [~(big_j(a))]
  5: ~(big_i(a)), ~(big_h(a)), [big_j(a)]

Gamma_7: (resolve)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: [~(big_j(a))]
  5: [~(big_i(a))], ~(big_h(a))

Gamma_8: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  4: [~(big_j(a))]
  5: [~(big_i(a))], ~(big_h(a))

Gamma_9: (move)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [~(big_i(a))], ~(big_h(a))
  4: [big_i(a)], ~(big_h(a)), ~(big_f(a))
  5: [~(big_j(a))]

Gamma_10: (resolve)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [~(big_i(a))], ~(big_h(a))
  4: [~(big_h(a))], ~(big_f(a))
  5: [~(big_j(a))]

Gamma_11: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [big_h(a)], ~(big_k(a))
  3: [~(big_i(a))], ~(big_h(a))
  4: [~(big_h(a))], ~(big_f(a))
  5: [~(big_j(a))]

Gamma_12: (move)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [~(big_h(a))], ~(big_f(a))
  3: [big_h(a)], ~(big_k(a))
  4: [~(big_i(a))], ~(big_h(a))
  5: [~(big_j(a))]

Gamma_13: (resolve)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [~(big_h(a))], ~(big_f(a))
  3: [~(big_k(a))], ~(big_f(a))
  4: [~(big_j(a))]

Gamma_14: (extend-conflict)
  0: [big_k(a)]
  1: [big_f(a)]
  2: [~(big_h(a))], ~(big_f(a))
  3: ~(big_k(a)), [~(big_f(a))]
  4: [~(big_j(a))]

Gamma_15: (move)
  0: [big_k(a)]
  1: ~(big_k(a)), [~(big_f(a))]
  2: [big_f(a)]
  3: [~(big_h(a))], ~(big_f(a))
  4: [~(big_j(a))]

Gamma_16: (resolve)
  0: [big_k(a)]
  1: ~(big_k(a)), [~(big_f(a))]
  2: [~(big_k(a))]
  3: [~(big_j(a))]

Gamma_17: (extend-conflict)
  0: [big_k(a)]
  1: ~(big_k(a)), [~(big_f(a))]
  2: [~(big_k(a))]
  3: [~(big_j(a))]

Gamma_18: (move)
  0: [~(big_k(a))]
  1: [big_k(a)]
  2: ~(big_k(a)), [~(big_f(a))]
  3: [~(big_j(a))]

Gamma_19: (resolve)
  0: [~(big_k(a))]
  1: []
  2: [~(big_j(a))]

SZS status Unsatisfiable