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

------ Parsing...successful


------ Proving...
flip all literals with predicate p
use I-

Gamma_0: (extend-no-conflict)
  0: [u(c,c,c)]

Gamma_1: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))

Gamma_2: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]

Gamma_3: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]

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

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

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

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

Gamma_8: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [q(c,c,c)], ~(t(c,c,c)), ~(p(c,c,c)), ~(s(c))

Gamma_9: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [q(c,c,c)], ~(t(c,c,c)), ~(p(c,c,c)), ~(s(c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_10: (move)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))
  6: [q(c,c,c)], ~(t(c,c,c)), ~(p(c,c,c)), ~(s(c))

Gamma_11: (resolve)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))
  6: [~(t(c,c,c))], ~(p(c,c,c)), ~(s(c))

Gamma_12: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))
  6: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]

Gamma_13: (move)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  4: [s(c)]
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_14: (resolve)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  4: [~(t(c,c,c))], ~(p(c,c,c))
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_15: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  4: ~(t(c,c,c)), [~(p(c,c,c))]
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_16: (move)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [~(p(c,c,c))]
  3: ~(t(c,c,c)), [p(c,c,c)]
  4: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_17: (resolve)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [~(p(c,c,c))]
  3: [~(t(c,c,c))]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_18: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [~(p(c,c,c))]
  3: [~(t(c,c,c))]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_19: (move)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  3: ~(t(c,c,c)), [~(p(c,c,c))]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_20: (resolve)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [v(c,c,c)], ~(u(c,c,c))

Gamma_21: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [v(c,c,c)], ~(u(c,c,c))

Gamma_22: (extend-conflict)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [v(c,c,c)], ~(u(c,c,c))
  3: [~(v(c,c,c))]

Gamma_23: (move)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [~(v(c,c,c))]
  3: [v(c,c,c)], ~(u(c,c,c))

Gamma_24: (resolve)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [~(v(c,c,c))]
  3: [~(u(c,c,c))]

Gamma_25: (extend-conflict)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [~(v(c,c,c))]
  3: [~(u(c,c,c))]

Gamma_26: (move)
  0: [~(u(c,c,c))]
  1: [u(c,c,c)]
  2: [~(t(c,c,c))]
  3: [~(v(c,c,c))]

Gamma_27: (resolve)
  0: [~(u(c,c,c))]
  1: []
  2: [~(t(c,c,c))]
  3: [~(v(c,c,c))]

SZS status Unsatisfiable

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

------ Parsing...successful


------ Proving...
flip all literals with predicate p
use I-

Gamma_0: (extend-no-conflict)
  0: [u(c,c,c)]

Gamma_1: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))

Gamma_2: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]

Gamma_3: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]

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

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

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

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

Gamma_8: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [q(c,c,c)], ~(t(c,c,c)), ~(p(c,c,c)), ~(s(c))

Gamma_9: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [q(c,c,c)], ~(t(c,c,c)), ~(p(c,c,c)), ~(s(c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_10: (move)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))
  6: [q(c,c,c)], ~(t(c,c,c)), ~(p(c,c,c)), ~(s(c))

Gamma_11: (resolve)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))
  6: [~(t(c,c,c))], ~(p(c,c,c)), ~(s(c))

Gamma_12: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: [s(c)]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))
  6: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]

Gamma_13: (move)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  4: [s(c)]
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_14: (resolve)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  4: [~(t(c,c,c))], ~(p(c,c,c))
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_15: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [p(c,c,c)]
  3: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  4: ~(t(c,c,c)), [~(p(c,c,c))]
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_16: (move)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [~(p(c,c,c))]
  3: ~(t(c,c,c)), [p(c,c,c)]
  4: ~(t(c,c,c)), ~(p(c,c,c)), [~(s(c))]
  5: [~(r(c,c,c))], ~(t(c,c,c))
  6: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_17: (resolve)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [~(p(c,c,c))]
  3: [~(t(c,c,c))]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_18: (extend-conflict)
  0: [u(c,c,c)]
  1: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  2: ~(t(c,c,c)), [~(p(c,c,c))]
  3: [~(t(c,c,c))]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_19: (move)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [t(c,c,c)], v(c,c,c), ~(u(c,c,c))
  3: ~(t(c,c,c)), [~(p(c,c,c))]
  4: [~(r(c,c,c))], ~(t(c,c,c))
  5: [~(q(c,c,c))], ~(t(c,c,c))

Gamma_20: (resolve)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [v(c,c,c)], ~(u(c,c,c))

Gamma_21: (extend-no-conflict)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [v(c,c,c)], ~(u(c,c,c))

Gamma_22: (extend-conflict)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [v(c,c,c)], ~(u(c,c,c))
  3: [~(v(c,c,c))]

Gamma_23: (move)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [~(v(c,c,c))]
  3: [v(c,c,c)], ~(u(c,c,c))

Gamma_24: (resolve)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [~(v(c,c,c))]
  3: [~(u(c,c,c))]

Gamma_25: (extend-conflict)
  0: [u(c,c,c)]
  1: [~(t(c,c,c))]
  2: [~(v(c,c,c))]
  3: [~(u(c,c,c))]

Gamma_26: (move)
  0: [~(u(c,c,c))]
  1: [u(c,c,c)]
  2: [~(t(c,c,c))]
  3: [~(v(c,c,c))]

Gamma_27: (resolve)
  0: [~(u(c,c,c))]
  1: []
  2: [~(t(c,c,c))]
  3: [~(v(c,c,c))]

SZS status Unsatisfiable