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


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YES
Input TRS:
    1: a__from(X) -> cons(mark(X),from(s(X)))
    2: a__length(nil()) -> 0()
    3: a__length(cons(X,Y)) -> s(a__length1(Y))
    4: a__length1(X) -> a__length(X)
    5: mark(from(X)) -> a__from(mark(X))
    6: mark(length(X)) -> a__length(X)
    7: mark(length1(X)) -> a__length1(X)
    8: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    9: mark(s(X)) -> s(mark(X))
    10: mark(nil()) -> nil()
    11: mark(0()) -> 0()
    12: a__from(X) -> from(X)
    13: a__length(X) -> length(X)
    14: a__length1(X) -> length1(X)
Number of strict rules: 14
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #mark(length(X)) -> #a__length(X)
   #2: #mark(s(X)) -> #mark(X)
   #3: #mark(length1(X)) -> #a__length1(X)
   #4: #mark(from(X)) -> #a__from(mark(X))
   #5: #mark(from(X)) -> #mark(X)
   #6: #a__length(cons(X,Y)) -> #a__length1(Y)
   #7: #a__from(X) -> #mark(X)
   #8: #mark(cons(X1,X2)) -> #mark(X1)
   #9: #a__length1(X) -> #a__length(X)
Number of SCCs: 2, DPs: 7
  SCC { #6 #9 }
POLO(Sum)... succeeded.
      #a__length1	w: x1 + 1
      s 	w: 0
      #a__from	w: 0
      a__from	w: 0
      length1	w: 0
      a__length1	w: 0
      #mark	w: 0
      0 	w: 0
      from	w: 0
      nil	w: 0
      mark	w: 0
      #a__length	w: x1
      cons	w: x2 + 2
      length	w: 0
      a__length	w: 0
    USABLE RULES: { }
    Removed DPs: #6 #9
Number of SCCs: 1, DPs: 5
  SCC { #2 #4 #5 #7 #8 }
POLO(Sum)... succeeded.
      #a__length1	w: 1
      s 	w: x1
      #a__from	w: x1 + 1
      a__from	w: x1 + 3
      length1	w: 1
      a__length1	w: 1
      #mark	w: x1
      0 	w: 1
      from	w: x1 + 3
      nil	w: 1
      mark	w: x1 + 1
      #a__length	w: 0
      cons	w: x1 + 2
      length	w: 1
      a__length	w: 1
    USABLE RULES: { 1..14 }
    Removed DPs: #4 #5 #7 #8
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... succeeded.
      #a__length1	w: 1
      s 	w: x1 + 2
      #a__from	w: 1
      a__from	w: 5
      length1	w: 1
      a__length1	w: 1
      #mark	w: x1
      0 	w: 3
      from	w: x1 + 3
      nil	w: 1
      mark	w: x1 + 1
      #a__length	w: 0
      cons	w: x1 + 5
      length	w: 1
      a__length	w: 2
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0