/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__first(0(),X) -> nil()
    2: a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z))
    3: a__from(X) -> cons(mark(X),from(s(X)))
    4: mark(first(X1,X2)) -> a__first(mark(X1),mark(X2))
    5: mark(from(X)) -> a__from(mark(X))
    6: mark(0()) -> 0()
    7: mark(nil()) -> nil()
    8: mark(s(X)) -> s(mark(X))
    9: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    10: a__first(X1,X2) -> first(X1,X2)
    11: a__from(X) -> from(X)
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a__first(s(X),cons(Y,Z)) -> #mark(Y)
   #2: #mark(cons(X1,X2)) -> #mark(X1)
   #3: #mark(from(X)) -> #a__from(mark(X))
   #4: #mark(from(X)) -> #mark(X)
   #5: #a__from(X) -> #mark(X)
   #6: #mark(s(X)) -> #mark(X)
   #7: #mark(first(X1,X2)) -> #a__first(mark(X1),mark(X2))
   #8: #mark(first(X1,X2)) -> #mark(X1)
   #9: #mark(first(X1,X2)) -> #mark(X2)
Number of SCCs: 1, DPs: 9
  SCC { #1..9 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #a__from	w: x1 + 2
      #a__first	w: x2
      a__from	w: x1 + 2
      #mark	w: x1 + 1
      0 	w: 0
      from	w: x1 + 2
      nil	w: 0
      mark	w: x1
      first	w: x1 + x2
      a__first	w: x1 + x2
      cons	w: x1 + 1
    USABLE RULES: { 1..11 }
    Removed DPs: #2..7
Number of SCCs: 1, DPs: 2
  SCC { #8 #9 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #a__from	w: x1 + 2
      #a__first	w: x2
      a__from	w: x1 + 2
      #mark	w: x1 + 1
      0 	w: 0
      from	w: x1 + 2
      nil	w: 0
      mark	w: x1
      first	w: x1 + x2 + 1
      a__first	w: x1 + x2 + 1
      cons	w: x1 + 1
    USABLE RULES: { 1..11 }
    Removed DPs: #8 #9
Number of SCCs: 0, DPs: 0