/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__2nd(cons1(X,cons(Y,Z))) -> mark(Y)
    2: a__2nd(cons(X,X1)) -> a__2nd(cons1(mark(X),mark(X1)))
    3: a__from(X) -> cons(mark(X),from(s(X)))
    4: mark(2nd(X)) -> a__2nd(mark(X))
    5: mark(from(X)) -> a__from(mark(X))
    6: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    7: mark(s(X)) -> s(mark(X))
    8: mark(cons1(X1,X2)) -> cons1(mark(X1),mark(X2))
    9: a__2nd(X) -> 2nd(X)
    10: a__from(X) -> from(X)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a__2nd(cons(X,X1)) -> #a__2nd(cons1(mark(X),mark(X1)))
   #2: #a__2nd(cons(X,X1)) -> #mark(X)
   #3: #a__2nd(cons(X,X1)) -> #mark(X1)
   #4: #mark(cons(X1,X2)) -> #mark(X1)
   #5: #mark(s(X)) -> #mark(X)
   #6: #mark(from(X)) -> #a__from(mark(X))
   #7: #mark(from(X)) -> #mark(X)
   #8: #a__from(X) -> #mark(X)
   #9: #a__2nd(cons1(X,cons(Y,Z))) -> #mark(Y)
   #10: #mark(cons1(X1,X2)) -> #mark(X1)
   #11: #mark(cons1(X1,X2)) -> #mark(X2)
   #12: #mark(2nd(X)) -> #a__2nd(mark(X))
   #13: #mark(2nd(X)) -> #mark(X)
Number of SCCs: 1, DPs: 13
  SCC { #1..13 }
POLO(Sum)... POLO(max)... succeeded.
      s 	w: x1
      #a__from	w: x1 + 1
      a__from	w: x1 + 2
      2nd	w: x1 + 2
      a__2nd	w: x1 + 2
      #a__2nd	w: x1 + 1
      cons1	w: max(x1 + 1, x2)
      #mark	w: x1
      from	w: x1 + 2
      mark	w: x1
      cons	w: max(x1 + 2, x2)
    USABLE RULES: { 1..10 }
    Removed DPs: #2..4 #6..10 #12 #13
Number of SCCs: 1, DPs: 2
  SCC { #5 #11 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #a__from	w: 1
      a__from	w: 3
      2nd	w: 0
      a__2nd	w: x1
      #a__2nd	w: 0
      cons1	w: x2 + 1
      #mark	w: x1 + 1
      from	w: 1
      mark	w: 1
      cons	w: x2 + 2
    USABLE RULES: { }
    Removed DPs: #5 #11
Number of SCCs: 0, DPs: 0