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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [q_2_2(a)]

Gamma_1: (extend-no-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]

Gamma_2: (extend-no-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]

Gamma_3: (extend-no-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]
  3: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))

Gamma_4: (extend-no-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]
  3: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))
  4: [p_1_2(a)], ~(q_2_2(a)), ~(q_1_1(a))

Gamma_5: (extend-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]
  3: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))
  4: [p_1_2(a)], ~(q_2_2(a)), ~(q_1_1(a))
  5: [~(p_1_2(a))]

Gamma_6: (move)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]
  3: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))
  4: [~(p_1_2(a))]
  5: [p_1_2(a)], ~(q_2_2(a)), ~(q_1_1(a))

Gamma_7: (resolve)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]
  3: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))
  4: [~(p_1_2(a))]
  5: [~(q_2_2(a))], ~(q_1_1(a))

Gamma_8: (extend-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: [q_1_1(a)]
  3: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))
  4: [~(p_1_2(a))]
  5: ~(q_2_2(a)), [~(q_1_1(a))]

Gamma_9: (move)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: ~(q_2_2(a)), [~(q_1_1(a))]
  3: [q_1_1(a)]
  4: [q_1_2(a)], ~(p_2_2(a)), ~(q_1_1(a))
  5: [~(p_1_2(a))]

Gamma_10: (resolve)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: ~(q_2_2(a)), [~(q_1_1(a))]
  3: [~(q_2_2(a))]
  4: [~(p_1_2(a))]

Gamma_11: (extend-conflict)
  0: [q_2_2(a)]
  1: [p_2_2(a)]
  2: ~(q_2_2(a)), [~(q_1_1(a))]
  3: [~(q_2_2(a))]
  4: [~(p_1_2(a))]

Gamma_12: (move)
  0: [~(q_2_2(a))]
  1: [q_2_2(a)]
  2: [p_2_2(a)]
  3: ~(q_2_2(a)), [~(q_1_1(a))]
  4: [~(p_1_2(a))]

Gamma_13: (resolve)
  0: [~(q_2_2(a))]
  1: []
  2: [p_2_2(a)]
  3: [~(p_1_2(a))]

SZS status Unsatisfiable