/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__after(0(),XS) -> mark(XS)
    3: a__after(s(N),cons(X,XS)) -> a__after(mark(N),mark(XS))
    4: mark(from(X)) -> a__from(mark(X))
    5: mark(after(X1,X2)) -> a__after(mark(X1),mark(X2))
    6: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    7: mark(s(X)) -> s(mark(X))
    8: mark(0()) -> 0()
    9: a__from(X) -> from(X)
    10: a__after(X1,X2) -> after(X1,X2)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a__after(0(),XS) -> #mark(XS)
   #2: #mark(cons(X1,X2)) -> #mark(X1)
   #3: #mark(s(X)) -> #mark(X)
   #4: #mark(after(X1,X2)) -> #a__after(mark(X1),mark(X2))
   #5: #mark(after(X1,X2)) -> #mark(X1)
   #6: #mark(after(X1,X2)) -> #mark(X2)
   #7: #a__after(s(N),cons(X,XS)) -> #a__after(mark(N),mark(XS))
   #8: #a__after(s(N),cons(X,XS)) -> #mark(N)
   #9: #a__after(s(N),cons(X,XS)) -> #mark(XS)
   #10: #a__from(X) -> #mark(X)
   #11: #mark(from(X)) -> #a__from(mark(X))
   #12: #mark(from(X)) -> #mark(X)
Number of SCCs: 1, DPs: 12
  SCC { #1..12 }
POLO(Sum)... POLO(max)... succeeded.
      s 	w: x1
      #a__from	w: x1 + 1
      a__from	w: x1 + 2
      after	w: max(x1 + 4, x2 + 3)
      #a__after	w: max(x1 + 2, x2 + 1)
      a__after	w: max(x1 + 4, x2 + 3)
      #mark	w: x1
      0 	w: 1
      from	w: x1 + 2
      mark	w: x1
      cons	w: max(x1, x2)
    USABLE RULES: { 1..10 }
    Removed DPs: #1 #4..6 #8..12
Number of SCCs: 2, DPs: 3
  SCC { #7 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      #a__from	w: 0
      a__from	w: 2
      after	w: x2 + 1
      #a__after	w: x1
      a__after	w: x2 + 1
      #mark	w: 0
      0 	w: 1
      from	w: 1
      mark	w: x1 + 1
      cons	w: x2 + 1
    USABLE RULES: { 1..10 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #a__from	w: 0
      a__from	w: 2
      after	w: 1
      #a__after	w: 0
      a__after	w: 2
      #mark	w: x1
      0 	w: 2
      from	w: x1 + 3
      mark	w: 1
      cons	w: x1 + x2 + 1
    USABLE RULES: { }
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0