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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0

Gamma_1: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0

Gamma_2: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0

Gamma_3: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0

Gamma_4: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0

Gamma_5: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0

Gamma_6: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0

Gamma_7: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0

Gamma_8: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0

Gamma_9: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]

Gamma_10: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)

Gamma_11: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)

Gamma_12: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  12: [c5_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)

Gamma_13: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  12: [c5_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  13: [c4_1(X0)], ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)

Gamma_14: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  12: [c5_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  13: [c4_1(X0)], ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  14: c2_2(a139,a140), [c2_2(a123,X0)], c3_2(a123,X0), c1_2(a123,X0), ~(
c4_1(a123)), ~(ndr1_1(a123)), ~(c5_1(a123)), c3_0, ~(ndr1_0)

Gamma_15: (right-split)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  12: [c5_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  13: [c4_1(X0)], ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  14: top(X0) != a120 | c2_2(a139,a140), [c2_2(a123,X0)], c3_2(a123,X0), c1_2(
a123,X0), ~(c4_1(a123)), ~(ndr1_1(a123)), ~(c5_1(a123)), c3_0, ~(ndr1_0)

Gamma_16: (extend-no-conflict)
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  12: [c5_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  13: [c4_1(X0)], ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  14: top(X0) != a120 | c2_2(a139,a140), [c2_2(a123,X0)], c3_2(a123,X0), c1_2(
a123,X0), ~(c4_1(a123)), ~(ndr1_1(a123)), ~(c5_1(a123)), c3_0, ~(ndr1_0)
  15: ~(c4_1(a108)), [epred1_0]
  0: [c1_2(a123,a124)], c4_0
  1: [ndr1_1(a135)], ndr1_0, c4_0
  2: [c1_1(a135)], ndr1_0, c4_0
  3: [c3_1(a108)], epred1_0
  4: [c5_1(a118)], c1_0
  5: [c1_1(a118)], c1_0
  6: [ndr1_1(a123)], c4_0
  7: [c5_1(a123)], c4_0
  8: [ndr1_0], c4_0
  9: [c4_0]
  10: [c4_2(X0,a119)], c2_2(X0,a120), c4_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  11: [c2_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  12: [c5_2(X0,a120)], c4_1(X0), ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  13: [c4_1(X0)], ndr1_1(X0), c3_0, ~(ndr1_0), ~(c4_0)
  14: top(X0) != a120 | c2_2(a139,a140), [c2_2(a123,X0)], c3_2(a123,X0), c1_2(
a123,X0), ~(c4_1(a123)), ~(ndr1_1(a123)), ~(c5_1(a123)), c3_0, ~(ndr1_0)
  15: ~(c4_1(a108)), [epred1_0]

SZS status Satisfiable