/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: active(2nd(cons(X,cons(Y,Z)))) -> mark(Y)
    2: active(from(X)) -> mark(cons(X,from(s(X))))
    3: mark(2nd(X)) -> active(2nd(mark(X)))
    4: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    5: mark(from(X)) -> active(from(mark(X)))
    6: mark(s(X)) -> active(s(mark(X)))
    7: 2nd(mark(X)) -> 2nd(X)
    8: 2nd(active(X)) -> 2nd(X)
    9: cons(mark(X1),X2) -> cons(X1,X2)
    10: cons(X1,mark(X2)) -> cons(X1,X2)
    11: cons(active(X1),X2) -> cons(X1,X2)
    12: cons(X1,active(X2)) -> cons(X1,X2)
    13: from(mark(X)) -> from(X)
    14: from(active(X)) -> from(X)
    15: s(mark(X)) -> s(X)
    16: s(active(X)) -> s(X)
Number of strict rules: 16
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #active(from(X)) -> #mark(cons(X,from(s(X))))
   #2: #active(from(X)) -> #cons(X,from(s(X)))
   #3: #active(from(X)) -> #from(s(X))
   #4: #active(from(X)) -> #s(X)
   #5: #mark(s(X)) -> #active(s(mark(X)))
   #6: #mark(s(X)) -> #s(mark(X))
   #7: #mark(s(X)) -> #mark(X)
   #8: #from(mark(X)) -> #from(X)
   #9: #cons(mark(X1),X2) -> #cons(X1,X2)
   #10: #cons(active(X1),X2) -> #cons(X1,X2)
   #11: #cons(X1,active(X2)) -> #cons(X1,X2)
   #12: #from(active(X)) -> #from(X)
   #13: #2nd(mark(X)) -> #2nd(X)
   #14: #cons(X1,mark(X2)) -> #cons(X1,X2)
   #15: #mark(from(X)) -> #active(from(mark(X)))
   #16: #mark(from(X)) -> #from(mark(X))
   #17: #mark(from(X)) -> #mark(X)
   #18: #s(active(X)) -> #s(X)
   #19: #mark(2nd(X)) -> #active(2nd(mark(X)))
   #20: #mark(2nd(X)) -> #2nd(mark(X))
   #21: #mark(2nd(X)) -> #mark(X)
   #22: #active(2nd(cons(X,cons(Y,Z)))) -> #mark(Y)
   #23: #2nd(active(X)) -> #2nd(X)
   #24: #s(mark(X)) -> #s(X)
   #25: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2))
   #26: #mark(cons(X1,X2)) -> #cons(mark(X1),X2)
   #27: #mark(cons(X1,X2)) -> #mark(X1)
Number of SCCs: 5, DPs: 18
  SCC { #18 #24 }
POLO(Sum)... succeeded.
      #cons	w: 0
      s 	w: 0
      2nd	w: 0
      #mark	w: 0
      from	w: 0
      #s 	w: x1
      #2nd	w: 0
      mark	w: x1 + 1
      #from	w: 0
      active	w: x1 + 1
      cons	w: 0
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #18 #24
Number of SCCs: 4, DPs: 16
  SCC { #8 #12 }
POLO(Sum)... succeeded.
      #cons	w: 0
      s 	w: 0
      2nd	w: 0
      #mark	w: 0
      from	w: 0
      #s 	w: 0
      #2nd	w: 0
      mark	w: x1 + 1
      #from	w: x1
      active	w: x1 + 1
      cons	w: 0
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #8 #12
Number of SCCs: 3, DPs: 14
  SCC { #13 #23 }
POLO(Sum)... succeeded.
      #cons	w: 0
      s 	w: 0
      2nd	w: 0
      #mark	w: 0
      from	w: 0
      #s 	w: 0
      #2nd	w: x1
      mark	w: x1 + 1
      #from	w: 0
      active	w: x1 + 1
      cons	w: 0
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #13 #23
Number of SCCs: 2, DPs: 12
  SCC { #9..11 #14 }
POLO(Sum)... succeeded.
      #cons	w: x2
      s 	w: 0
      2nd	w: 0
      #mark	w: 0
      from	w: 0
      #s 	w: 0
      #2nd	w: 0
      mark	w: x1 + 1
      #from	w: 0
      active	w: x1 + 1
      cons	w: 0
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #11 #14
Number of SCCs: 2, DPs: 10
  SCC { #9 #10 }
POLO(Sum)... succeeded.
      #cons	w: x1
      s 	w: 0
      2nd	w: 0
      #mark	w: 0
      from	w: 0
      #s 	w: 0
      #2nd	w: 0
      mark	w: x1 + 1
      #from	w: 0
      active	w: x1 + 1
      cons	w: 0
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #9 #10
Number of SCCs: 1, DPs: 8
  SCC { #1 #7 #15 #17 #19 #21 #22 #27 }
POLO(Sum)... POLO(max)... succeeded.
      #cons	w: 0
      s 	w: x1
      2nd	w: x1 + 1
      #mark	w: x1
      from	w: x1 + 2
      #s 	w: 0
      #2nd	w: 0
      mark	w: x1
      #from	w: 0
      active	w: x1
      cons	w: max(x1 + 1, x2)
      #active	w: x1
    USABLE RULES: { 1..16 }
    Removed DPs: #17 #21 #22 #27
Number of SCCs: 1, DPs: 1
  SCC { #7 }
POLO(Sum)... succeeded.
      #cons	w: 0
      s 	w: x1 + 1
      2nd	w: 1
      #mark	w: x1 + 1
      from	w: 1
      #s 	w: 0
      #2nd	w: 0
      mark	w: 1
      #from	w: 0
      active	w: 1
      cons	w: 1
      #active	w: 0
    USABLE RULES: { 1..6 9..14 }
    Removed DPs: #7
Number of SCCs: 0, DPs: 0