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

------ Parsing...successful


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

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

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

Gamma_2: (extend-conflict)
  0: [big_f(a,f(a))], big_f(a,b)
  1: [big_f(g(f(a)),f(a))], ~(big_f(a,f(a)))
  2: [~(big_f(g(f(a)),f(a)))], ~(big_f(a,f(a)))

Gamma_3: (move)
  0: [big_f(a,f(a))], big_f(a,b)
  1: [~(big_f(g(f(a)),f(a)))], ~(big_f(a,f(a)))
  2: [big_f(g(f(a)),f(a))], ~(big_f(a,f(a)))

Gamma_4: (resolve)
  0: [big_f(a,f(a))], big_f(a,b)
  1: [~(big_f(g(f(a)),f(a)))], ~(big_f(a,f(a)))
  2: [~(big_f(a,f(a)))]

Gamma_5: (extend-conflict)
  0: [big_f(a,f(a))], big_f(a,b)
  1: [~(big_f(g(f(a)),f(a)))], ~(big_f(a,f(a)))
  2: [~(big_f(a,f(a)))]

Gamma_6: (move)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,f(a))], big_f(a,b)
  2: [~(big_f(g(f(a)),f(a)))], ~(big_f(a,f(a)))

Gamma_7: (resolve)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]

Gamma_8: (extend-no-conflict)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]

Gamma_9: (extend-no-conflict)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]
  2: [big_f(g(b),b)], big_f(a,f(a)), ~(big_f(a,b))

Gamma_10: (extend-no-conflict)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]
  2: [big_f(g(b),b)], big_f(a,f(a)), ~(big_f(a,b))
  3: [big_f(g(b),f(a))], ~(big_f(g(b),b)), ~(big_f(a,b))

Gamma_11: (extend-conflict)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]
  2: [big_f(g(b),b)], big_f(a,f(a)), ~(big_f(a,b))
  3: [big_f(g(b),f(a))], ~(big_f(g(b),b)), ~(big_f(a,b))
  4: [~(big_f(g(b),b))], big_f(a,f(a)), ~(big_f(a,b))

Gamma_12: (move)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]
  2: [~(big_f(g(b),b))], big_f(a,f(a)), ~(big_f(a,b))
  3: [big_f(g(b),b)], big_f(a,f(a)), ~(big_f(a,b))
  4: [big_f(g(b),f(a))], ~(big_f(g(b),b)), ~(big_f(a,b))

Gamma_13: (resolve)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]
  2: [~(big_f(g(b),b))], big_f(a,f(a)), ~(big_f(a,b))
  3: [big_f(a,f(a))], ~(big_f(a,b))

Gamma_14: (extend-conflict)
  0: [~(big_f(a,f(a)))]
  1: [big_f(a,b)]
  2: [~(big_f(g(b),b))], big_f(a,f(a)), ~(big_f(a,b))
  3: big_f(a,f(a)), [~(big_f(a,b))]

Gamma_15: (move)
  0: [~(big_f(a,f(a)))]
  1: big_f(a,f(a)), [~(big_f(a,b))]
  2: [big_f(a,b)]
  3: [~(big_f(g(b),b))], big_f(a,f(a)), ~(big_f(a,b))

Gamma_16: (resolve)
  0: [~(big_f(a,f(a)))]
  1: big_f(a,f(a)), [~(big_f(a,b))]
  2: [big_f(a,f(a))]

Gamma_17: (extend-conflict)
  0: [~(big_f(a,f(a)))]
  1: big_f(a,f(a)), [~(big_f(a,b))]
  2: [big_f(a,f(a))]

Gamma_18: (resolve)
  0: [~(big_f(a,f(a)))]
  1: big_f(a,f(a)), [~(big_f(a,b))]
  2: []

SZS status Unsatisfiable