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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [m0(X0,d,X1)]

Gamma_1: (extend-no-conflict)
  0: [m0(X0,d,X1)]
  1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d))

Gamma_2: (extend-conflict)
  0: [m0(X0,d,X1)]
  1: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d))
  2: [~(n1(c,c,X0))]

Gamma_3: (move)
  0: [m0(X0,d,X1)]
  1: [~(n1(c,c,X0))]
  2: [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(m0(d,d,d))

Gamma_4: (right-split)
  0: [m0(X0,d,X1)]
  1: [~(n1(c,c,X0))]
  2: top(X0) != c | [n1(c,c,X0)], ~(m0(X0,d,c)), ~(m0(d,d,d))
  3: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_5: (right-split)
  0: [m0(X0,d,X1)]
  1: [~(n1(c,c,X0))]
  2: [n1(c,c,X0)], ~(m0(X0,d,c)), ~(m0(d,d,d))
  3: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_6: (resolve)
  0: [m0(X0,d,X1)]
  1: [~(n1(c,c,X0))]
  2: [~(m0(X0,d,c))], ~(m0(d,d,d))
  3: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_7: (extend-conflict)
  0: [m0(X0,d,X1)]
  1: [~(n1(c,c,X0))]
  2: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  3: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_8: (move)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [m0(X0,d,X1)]
  2: [~(n1(c,c,X0))]
  3: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_9: (right-split)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [m0(d,d,d)]
  2: top(X0) != d | [m0(X0,d,d)]
  3: top(X1) != d | [m0(d,d,X0)]
  4: top(X1) != d & top(X0) != d | [m0(X0,d,X1)]
  5: [~(n1(c,c,X0))]
  6: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_10: (right-split)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [m0(d,d,d)]
  2: top(X0) != d | [m0(X0,d,d)]
  3: top(X1) != d | [m0(d,d,X0)]
  4: top(X1) != d & top(X0) != d | [m0(X0,d,X1)]
  5: [~(n1(c,c,X0))]
  6: top(X0) != c & top(X0) != c | [n1(X0,X0,X1)], ~(m0(X1,d,X0)), ~(
m0(d,d,d))

Gamma_11: (resolve)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [~(m0(X0,d,c))]
  2: top(X0) != d | [m0(X0,d,d)]
  3: top(X1) != d | [m0(d,d,X0)]
  4: top(X1) != d & top(X0) != d | [m0(X0,d,X1)]
  5: [~(n1(c,c,X0))]

Gamma_12: (extend-conflict)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [~(m0(X0,d,c))]
  2: top(X0) != d | [m0(X0,d,d)]
  3: top(X1) != d | [m0(d,d,X0)]
  4: top(X1) != d & top(X0) != d | [m0(X0,d,X1)]
  5: [~(n1(c,c,X0))]

Gamma_13: (right-split)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [~(m0(X0,d,c))]
  2: top(X0) != d | [m0(X0,d,d)]
  3: top(X1) != d | [m0(d,d,X0)]
  4: [m0(X0,d,c)]
  5: top(X1) != c | [m0(X0,d,X1)]
  6: [~(n1(c,c,X0))]

Gamma_14: (resolve)
  0: ~(m0(X0,d,c)), [~(m0(d,d,d))]
  1: [~(m0(X0,d,c))]
  2: top(X0) != d | [m0(X0,d,d)]
  3: top(X1) != d | [m0(d,d,X0)]
  4: []
  5: top(X1) != c | [m0(X0,d,X1)]
  6: [~(n1(c,c,X0))]

SZS status Unsatisfiable