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

------ Parsing...successful


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

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

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

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

Gamma_3: (extend-no-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)

Gamma_4: (extend-no-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [p], ~(t), ~(s)

Gamma_5: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [p], ~(t), ~(s)
  5: [~(p)], ~(r), ~(q)

Gamma_6: (move)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [~(p)], ~(r), ~(q)
  5: [p], ~(t), ~(s)

Gamma_7: (resolve)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [~(p)], ~(r), ~(q)
  5: [~(t)], ~(s), ~(r), ~(q)

Gamma_8: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [~(p)], ~(r), ~(q)
  5: ~(t), [~(s)], ~(r), ~(q)

Gamma_9: (move)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: ~(t), [~(s)], ~(r), ~(q)
  4: [s], ~(r)
  5: [~(p)], ~(r), ~(q)

Gamma_10: (resolve)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: ~(t), [~(s)], ~(r), ~(q)
  4: ~(t), [~(r)], ~(q)
  5: [~(p)], ~(r), ~(q)

Gamma_11: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: ~(t), [~(s)], ~(r), ~(q)
  4: [~(t)], ~(r), ~(q)
  5: [~(p)], ~(r), ~(q)

Gamma_12: (move)
  0: [r], q
  1: ~(r), [q]
  2: [~(t)], ~(r), ~(q)
  3: [t], ~(r), ~(q)
  4: ~(t), [~(s)], ~(r), ~(q)
  5: [~(p)], ~(r), ~(q)

Gamma_13: (resolve)
  0: [r], q
  1: ~(r), [q]
  2: [~(t)], ~(r), ~(q)
  3: [~(r)], ~(q)
  4: [~(p)], ~(r), ~(q)

Gamma_14: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [~(t)], ~(r), ~(q)
  3: ~(r), [~(q)]
  4: [~(p)], ~(r), ~(q)

Gamma_15: (move)
  0: [r], q
  1: ~(r), [~(q)]
  2: ~(r), [q]
  3: [~(t)], ~(r), ~(q)
  4: [~(p)], ~(r), ~(q)

Gamma_16: (resolve)
  0: [r], q
  1: ~(r), [~(q)]
  2: [~(r)]

Gamma_17: (extend-conflict)
  0: [r], q
  1: ~(r), [~(q)]
  2: [~(r)]

Gamma_18: (move)
  0: [~(r)]
  1: [r], q
  2: ~(r), [~(q)]

Gamma_19: (resolve)
  0: [~(r)]
  1: [q]

Gamma_20: (extend-no-conflict)
  0: [~(r)]
  1: [q]

Gamma_21: (extend-conflict)
  0: [~(r)]
  1: [q]
  2: r, [~(q)]

Gamma_22: (move)
  0: [~(r)]
  1: r, [~(q)]
  2: [q]

Gamma_23: (resolve)
  0: [~(r)]
  1: r, [~(q)]
  2: [r]

Gamma_24: (extend-conflict)
  0: [~(r)]
  1: r, [~(q)]
  2: [r]

Gamma_25: (resolve)
  0: [~(r)]
  1: r, [~(q)]
  2: []

SZS status Unsatisfiable

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

------ Parsing...successful


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

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

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

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

Gamma_3: (extend-no-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)

Gamma_4: (extend-no-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [p], ~(t), ~(s)

Gamma_5: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [p], ~(t), ~(s)
  5: [~(p)], ~(r), ~(q)

Gamma_6: (move)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [~(p)], ~(r), ~(q)
  5: [p], ~(t), ~(s)

Gamma_7: (resolve)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [~(p)], ~(r), ~(q)
  5: [~(t)], ~(s), ~(r), ~(q)

Gamma_8: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: [s], ~(r)
  4: [~(p)], ~(r), ~(q)
  5: ~(t), [~(s)], ~(r), ~(q)

Gamma_9: (move)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: ~(t), [~(s)], ~(r), ~(q)
  4: [s], ~(r)
  5: [~(p)], ~(r), ~(q)

Gamma_10: (resolve)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: ~(t), [~(s)], ~(r), ~(q)
  4: ~(t), [~(r)], ~(q)
  5: [~(p)], ~(r), ~(q)

Gamma_11: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [t], ~(r), ~(q)
  3: ~(t), [~(s)], ~(r), ~(q)
  4: [~(t)], ~(r), ~(q)
  5: [~(p)], ~(r), ~(q)

Gamma_12: (move)
  0: [r], q
  1: ~(r), [q]
  2: [~(t)], ~(r), ~(q)
  3: [t], ~(r), ~(q)
  4: ~(t), [~(s)], ~(r), ~(q)
  5: [~(p)], ~(r), ~(q)

Gamma_13: (resolve)
  0: [r], q
  1: ~(r), [q]
  2: [~(t)], ~(r), ~(q)
  3: [~(r)], ~(q)
  4: [~(p)], ~(r), ~(q)

Gamma_14: (extend-conflict)
  0: [r], q
  1: ~(r), [q]
  2: [~(t)], ~(r), ~(q)
  3: ~(r), [~(q)]
  4: [~(p)], ~(r), ~(q)

Gamma_15: (move)
  0: [r], q
  1: ~(r), [~(q)]
  2: ~(r), [q]
  3: [~(t)], ~(r), ~(q)
  4: [~(p)], ~(r), ~(q)

Gamma_16: (resolve)
  0: [r], q
  1: ~(r), [~(q)]
  2: [~(r)]

Gamma_17: (extend-conflict)
  0: [r], q
  1: ~(r), [~(q)]
  2: [~(r)]

Gamma_18: (move)
  0: [~(r)]
  1: [r], q
  2: ~(r), [~(q)]

Gamma_19: (resolve)
  0: [~(r)]
  1: [q]

Gamma_20: (extend-no-conflict)
  0: [~(r)]
  1: [q]

Gamma_21: (extend-conflict)
  0: [~(r)]
  1: [q]
  2: r, [~(q)]

Gamma_22: (move)
  0: [~(r)]
  1: r, [~(q)]
  2: [q]

Gamma_23: (resolve)
  0: [~(r)]
  1: r, [~(q)]
  2: [r]

Gamma_24: (extend-conflict)
  0: [~(r)]
  1: r, [~(q)]
  2: [r]

Gamma_25: (resolve)
  0: [~(r)]
  1: r, [~(q)]
  2: []

SZS status Unsatisfiable