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

------ Parsing...successful


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

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

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

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

Gamma_3: (extend-no-conflict)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))

Gamma_4: (extend-no-conflict)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [big_q(b,b)], ~(big_q(b,a))

Gamma_5: (extend-no-conflict)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [big_q(b,b)], ~(big_q(b,a))
  5: ~(big_q(a,b)), [big_q(a,a)]

Gamma_6: (extend-conflict)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [big_q(b,b)], ~(big_q(b,a))
  5: ~(big_q(a,b)), [big_q(a,a)]
  6: ~(big_q(b,b)), [~(big_q(a,a))]

Gamma_7: (move)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [big_q(b,b)], ~(big_q(b,a))
  5: ~(big_q(b,b)), [~(big_q(a,a))]
  6: ~(big_q(a,b)), [big_q(a,a)]

Gamma_8: (resolve)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [big_q(b,b)], ~(big_q(b,a))
  5: ~(big_q(b,b)), [~(big_q(a,a))]
  6: ~(big_q(b,b)), [~(big_q(a,b))]

Gamma_9: (extend-conflict)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [big_q(b,b)], ~(big_q(b,a))
  5: ~(big_q(b,b)), [~(big_q(a,a))]
  6: [~(big_q(b,b))], ~(big_q(a,b))

Gamma_10: (move)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [~(big_q(b,b))], ~(big_q(a,b))
  5: [big_q(b,b)], ~(big_q(b,a))
  6: ~(big_q(b,b)), [~(big_q(a,a))]

Gamma_11: (resolve)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [~(big_q(b,b))], ~(big_q(a,b))
  5: [~(big_q(b,a))], ~(big_q(a,b))

Gamma_12: (extend-conflict)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: [big_q(a,b)], ~(big_r(a,b))
  4: [~(big_q(b,b))], ~(big_q(a,b))
  5: ~(big_q(b,a)), [~(big_q(a,b))]

Gamma_13: (move)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: ~(big_q(b,a)), [~(big_q(a,b))]
  4: [big_q(a,b)], ~(big_r(a,b))
  5: [~(big_q(b,b))], ~(big_q(a,b))

Gamma_14: (resolve)
  0: [big_r(a,b)]
  1: [big_r(b,a)], ~(big_r(a,b))
  2: [big_q(b,a)], ~(big_r(b,a))
  3: ~(big_q(b,a)), [~(big_q(a,b))]
  4: ~(big_q(b,a)), [~(big_r(a,b))]

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

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

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

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

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

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

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

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

Gamma_23: (resolve)
  0: [~(big_r(a,b))]
  1: []

SZS status Unsatisfiable