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

------ Parsing...successful


------ Proving...
use I-
not ground preserving

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

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

Gamma_2: (extend-no-conflict)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [r(X0,a)]

Gamma_3: (extend-conflict)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [r(X0,a)]
  3: ~(q(a,a)), [~(r(b,a))]

Gamma_4: (move)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [~(r(b,a))]
  3: ~(q(a,a)), [r(X0,a)]

Gamma_5: (right-split)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [~(r(b,a))]
  3: ~(q(a,a)), [r(b,a)]
  4: top(X0) != b | ~(q(a,a)), [r(X0,a)]

Gamma_6: (right-split)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [~(r(b,a))]
  3: ~(q(a,a)), [r(b,a)]
  4: top(X0) != b | ~(q(a,a)), [r(X0,a)]

Gamma_7: (resolve)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [~(r(b,a))]
  3: [~(q(a,a))]
  4: top(X0) != b | ~(q(a,a)), [r(X0,a)]

Gamma_8: (extend-conflict)
  0: [r(a,b)]
  1: [q(a,a)], ~(r(a,b))
  2: ~(q(a,a)), [~(r(b,a))]
  3: [~(q(a,a))]
  4: top(X0) != b | ~(q(a,a)), [r(X0,a)]

Gamma_9: (move)
  0: [r(a,b)]
  1: [~(q(a,a))]
  2: [q(a,a)], ~(r(a,b))
  3: ~(q(a,a)), [~(r(b,a))]
  4: top(X0) != b | ~(q(a,a)), [r(X0,a)]

Gamma_10: (resolve)
  0: [r(a,b)]
  1: [~(q(a,a))]
  2: [~(r(a,b))]

Gamma_11: (extend-conflict)
  0: [r(a,b)]
  1: [~(q(a,a))]
  2: [~(r(a,b))]

Gamma_12: (move)
  0: [~(r(a,b))]
  1: [r(a,b)]
  2: [~(q(a,a))]

Gamma_13: (resolve)
  0: [~(r(a,b))]
  1: []
  2: [~(q(a,a))]

SZS status Unsatisfiable