/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__fst(0(),Z) -> nil()
    2: a__fst(s(X),cons(Y,Z)) -> cons(mark(Y),fst(X,Z))
    3: a__from(X) -> cons(mark(X),from(s(X)))
    4: a__add(0(),X) -> mark(X)
    5: a__add(s(X),Y) -> s(add(X,Y))
    6: a__len(nil()) -> 0()
    7: a__len(cons(X,Z)) -> s(len(Z))
    8: mark(fst(X1,X2)) -> a__fst(mark(X1),mark(X2))
    9: mark(from(X)) -> a__from(mark(X))
    10: mark(add(X1,X2)) -> a__add(mark(X1),mark(X2))
    11: mark(len(X)) -> a__len(mark(X))
    12: mark(0()) -> 0()
    13: mark(s(X)) -> s(X)
    14: mark(nil()) -> nil()
    15: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    16: a__fst(X1,X2) -> fst(X1,X2)
    17: a__from(X) -> from(X)
    18: a__add(X1,X2) -> add(X1,X2)
    19: a__len(X) -> len(X)
Number of strict rules: 19
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a__fst(s(X),cons(Y,Z)) -> #mark(Y)
   #2: #mark(from(X)) -> #a__from(mark(X))
   #3: #mark(from(X)) -> #mark(X)
   #4: #mark(len(X)) -> #a__len(mark(X))
   #5: #mark(len(X)) -> #mark(X)
   #6: #mark(add(X1,X2)) -> #a__add(mark(X1),mark(X2))
   #7: #mark(add(X1,X2)) -> #mark(X1)
   #8: #mark(add(X1,X2)) -> #mark(X2)
   #9: #a__from(X) -> #mark(X)
   #10: #mark(fst(X1,X2)) -> #a__fst(mark(X1),mark(X2))
   #11: #mark(fst(X1,X2)) -> #mark(X1)
   #12: #mark(fst(X1,X2)) -> #mark(X2)
   #13: #mark(cons(X1,X2)) -> #mark(X1)
   #14: #a__add(0(),X) -> #mark(X)
Number of SCCs: 1, DPs: 13
  SCC { #1..3 #5..14 }
POLO(Sum)... succeeded.
      #a__len	w: 0
      s 	w: 1
      #a__from	w: x1 + 1
      a__from	w: x1 + 2
      #a__add	w: x1 + x2
      fst	w: x1 + x2 + 1
      a__add	w: x1 + x2 + 1
      a__fst	w: x1 + x2 + 1
      #mark	w: x1
      0 	w: 1
      from	w: x1 + 2
      nil	w: 1
      mark	w: x1
      a__len	w: x1 + 1
      cons	w: x1 + 1
      add	w: x1 + x2 + 1
      #a__fst	w: x1 + x2
      len	w: x1 + 1
    USABLE RULES: { 1..19 }
    Removed DPs: #1..3 #5..14
Number of SCCs: 0, DPs: 0