/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: s(s(0())) -> f(s(0()))
    2: g(x) -> h(x,x)
    3: s(x) -> h(x,0())
    4: s(x) -> h(0(),x)
    5: f(g(x)) -> g(g(f(x)))
    6: g(s(x)) -> s(s(g(x)))
    7: h(f(x),g(x)) -> f(s(x))
    8: s(s(s(0()))) -> k(0())
    9: k(0()) -> s(0())
    10: s(s(s(s(s(0()))))) -> k(s(0()))
    11: k(s(0())) -> s(s(s(0())))
    12: s(s(s(s(s(s(s(s(s(s(s(s(s(0()))))))))))))) -> k(s(s(0())))
    13: k(s(s(0()))) -> s(s(s(s(s(s(s(s(s(s(s(0())))))))))))
    14: h(k(x),g(x)) -> k(s(x))
Number of strict rules: 14
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #g(x) -> #h(x,x)
   #2: #g(s(x)) -> #s(s(g(x)))
   #3: #g(s(x)) -> #s(g(x))
   #4: #g(s(x)) -> #g(x)
   #5: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(s(s(s(0())))))))))))
   #6: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(s(s(0()))))))))))
   #7: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(s(0())))))))))
   #8: #k(s(s(0()))) -> #s(s(s(s(s(s(s(s(0()))))))))
   #9: #k(s(s(0()))) -> #s(s(s(s(s(s(s(0())))))))
   #10: #k(s(s(0()))) -> #s(s(s(s(s(s(0()))))))
   #11: #k(s(s(0()))) -> #s(s(s(s(s(0())))))
   #12: #k(s(s(0()))) -> #s(s(s(s(0()))))
   #13: #k(s(s(0()))) -> #s(s(s(0())))
   #14: #k(0()) -> #s(0())
   #15: #k(s(0())) -> #s(s(s(0())))
   #16: #k(s(0())) -> #s(s(0()))
   #17: #s(s(s(s(s(s(s(s(s(s(s(s(s(0()))))))))))))) -> #k(s(s(0())))
   #18: #h(k(x),g(x)) -> #k(s(x))
   #19: #h(k(x),g(x)) -> #s(x)
   #20: #h(f(x),g(x)) -> #f(s(x))
   #21: #h(f(x),g(x)) -> #s(x)
   #22: #s(s(s(s(s(0()))))) -> #k(s(0()))
   #23: #f(g(x)) -> #g(g(f(x)))
   #24: #f(g(x)) -> #g(f(x))
   #25: #f(g(x)) -> #f(x)
   #26: #s(x) -> #h(x,0())
   #27: #s(s(0())) -> #f(s(0()))
   #28: #s(s(s(0()))) -> #k(0())
   #29: #s(x) -> #h(0(),x)
Number of SCCs: 2, DPs: 2
  SCC { #25 }
POLO(Sum)... succeeded.
      h 	w: 0
      s 	w: 0
      k 	w: 0
      f 	w: 0
      0 	w: 0
      #h 	w: 0
      #k 	w: 0
      #s 	w: 0
      #f 	w: x1
      #g 	w: 0
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #25
Number of SCCs: 1, DPs: 1
  SCC { #4 }
POLO(Sum)... succeeded.
      h 	w: 0
      s 	w: x1 + 1
      k 	w: 0
      f 	w: 0
      0 	w: 0
      #h 	w: 0
      #k 	w: 0
      #s 	w: 0
      #f 	w: 0
      #g 	w: x1
      g 	w: 1
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0