/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__incr(nil()) -> nil()
    2: a__incr(cons(X,L)) -> cons(s(mark(X)),incr(L))
    3: a__adx(nil()) -> nil()
    4: a__adx(cons(X,L)) -> a__incr(cons(mark(X),adx(L)))
    5: a__nats() -> a__adx(a__zeros())
    6: a__zeros() -> cons(0(),zeros())
    7: a__head(cons(X,L)) -> mark(X)
    8: a__tail(cons(X,L)) -> mark(L)
    9: mark(incr(X)) -> a__incr(mark(X))
    10: mark(adx(X)) -> a__adx(mark(X))
    11: mark(nats()) -> a__nats()
    12: mark(zeros()) -> a__zeros()
    13: mark(head(X)) -> a__head(mark(X))
    14: mark(tail(X)) -> a__tail(mark(X))
    15: mark(nil()) -> nil()
    16: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    17: mark(s(X)) -> s(mark(X))
    18: mark(0()) -> 0()
    19: a__incr(X) -> incr(X)
    20: a__adx(X) -> adx(X)
    21: a__nats() -> nats()
    22: a__zeros() -> zeros()
    23: a__head(X) -> head(X)
    24: a__tail(X) -> tail(X)
Number of strict rules: 24
Direct POLO(bPol) ... removes: 8 3 5 7
      incr	w: x1
      s 	w: x1
      a__incr	w: x1
      a__nats	w: 23
      adx	w: x1 + 21
      zeros	w: 1
      tail	w: x1 + 6
      0 	w: 0
      nil	w: 1
      mark	w: x1
      a__adx	w: x1 + 21
      nats	w: 23
      head	w: x1 + 1
      cons	w: x1 + x2
      a__tail	w: x1 + 6
      a__zeros	w: 1
      a__head	w: x1 + 1
Number of strict rules: 20
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a__incr(cons(X,L)) -> #mark(X)
   #2: #mark(head(X)) -> #a__head(mark(X))
   #3: #mark(head(X)) -> #mark(X)
   #4: #mark(incr(X)) -> #a__incr(mark(X))
   #5: #mark(incr(X)) -> #mark(X)
   #6: #mark(nats()) -> #a__nats()
   #7: #mark(zeros()) -> #a__zeros()
   #8: #mark(tail(X)) -> #a__tail(mark(X))
   #9: #mark(tail(X)) -> #mark(X)
   #10: #mark(adx(X)) -> #a__adx(mark(X))
   #11: #mark(adx(X)) -> #mark(X)
   #12: #mark(s(X)) -> #mark(X)
   #13: #mark(cons(X1,X2)) -> #mark(X1)
   #14: #a__adx(cons(X,L)) -> #a__incr(cons(mark(X),adx(L)))
   #15: #a__adx(cons(X,L)) -> #mark(X)
Number of SCCs: 1, DPs: 11
  SCC { #1 #3..5 #9..15 }
POLO(Sum)... succeeded.
      incr	w: x1 + 2
      s 	w: x1 + 1
      #a__head	w: 0
      a__incr	w: x1 + 2
      a__nats	w: 1
      adx	w: x1 + 4
      zeros	w: 1
      #a__adx	w: x1 + 2
      tail	w: x1 + 1
      #mark	w: x1
      0 	w: 1
      #a__zeros	w: 0
      nil	w: 1
      #a__nats	w: 0
      mark	w: x1 + 1
      a__adx	w: x1 + 4
      nats	w: 1
      #a__incr	w: x1
      head	w: x1 + 1
      cons	w: x1 + 1
      a__tail	w: x1 + 1
      #a__tail	w: 0
      a__zeros	w: 2
      a__head	w: x1 + 1
    USABLE RULES: { 1 2 4 6 9..24 }
    Removed DPs: #1 #3..5 #9..15
Number of SCCs: 0, DPs: 0