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

------ Parsing...successful


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

Gamma_0: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)

Gamma_1: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1

Gamma_2: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0

Gamma_3: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0

Gamma_4: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0

Gamma_5: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0

Gamma_6: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)

Gamma_7: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0

Gamma_8: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]

Gamma_9: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)

Gamma_10: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)

Gamma_11: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)

Gamma_12: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)

Gamma_13: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)

Gamma_14: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)
  14: [ndr1_1(X0)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)

Gamma_15: (right-split)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)
  14: top(X0) != a154 | [ndr1_1(X0)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)

Gamma_16: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)
  14: top(X0) != a154 | [ndr1_1(X0)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  15: [c5_1(X0)], c4_1(X0), c3_1(a152), c2_0, ~(ndr1_0)

Gamma_17: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)
  14: top(X0) != a154 | [ndr1_1(X0)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  15: [c5_1(X0)], c4_1(X0), c3_1(a152), c2_0, ~(ndr1_0)
  16: [c1_2(a145,X0)], c4_2(a145,X0), ~(ndr1_1(a145)), ~(c5_1(a145)), ~(
c3_1(a145)), ~(c1_0), ~(ndr1_0)

Gamma_18: (extend-no-conflict)
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)
  14: top(X0) != a154 | [ndr1_1(X0)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  15: [c5_1(X0)], c4_1(X0), c3_1(a152), c2_0, ~(ndr1_0)
  16: [c1_2(a145,X0)], c4_2(a145,X0), ~(ndr1_1(a145)), ~(c5_1(a145)), ~(
c3_1(a145)), ~(c1_0), ~(ndr1_0)
  17: ~(c5_1(a145)), [c2_0]
  0: [ssSkP0(X0)], ndr1_1(X0)
  1: [c4_1(a146)], ssSkC1
  2: [c3_1(a145)], c2_0
  3: [c1_0], c5_0, c2_0
  4: [ssSkC1], ndr1_0
  5: [ssSkC3], ndr1_0
  6: [c1_1(a154)], c3_0, ~(ssSkC3)
  7: [c3_0], ~(ssSkC3), ndr1_0
  8: ~(c3_0), [ndr1_0]
  9: [c3_2(a154,a142)], ~(ssSkP0(a154)), ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  10: [c4_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  11: [c5_2(X0,a149)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  12: ~(ssSkP0(a154)), [ndr1_1(a154)], ~(c1_1(a154)), ssSkC0, ~(ndr1_0)
  13: [c3_2(X0,a147)], c5_1(X0), c4_0, ~(ssSkC1), ~(ndr1_0)
  14: top(X0) != a154 | [ndr1_1(X0)], c4_1(X0), c3_1(X0), ssSkC2, ~(ndr1_0)
  15: [c5_1(X0)], c4_1(X0), c3_1(a152), c2_0, ~(ndr1_0)
  16: [c1_2(a145,X0)], c4_2(a145,X0), ~(ndr1_1(a145)), ~(c5_1(a145)), ~(
c3_1(a145)), ~(c1_0), ~(ndr1_0)
  17: ~(c5_1(a145)), [c2_0]

SZS status Satisfiable