/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: 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 poly ... removes: 8 3 5 7
  incr(x1)		w: (x1)
  s(x1)		w: (x1)
  a__incr(x1)		w: (x1)
  a__nats()		w: (15)
  adx(x1)		w: (11 + x1)
  zeros()		w: (2)
  tail(x1)		w: (8405 + x1)
  0()		w: (0)
  nil()		w: (21653)
  mark(x1)		w: (x1)
  a__adx(x1)		w: (11 + x1)
  nats()		w: (15)
  head(x1)		w: (3 + x1)
  cons(x1,x2)		w: (x2 + x1)
  a__tail(x1)		w: (8405 + x1)
  a__zeros()		w: (2)
  a__head(x1)		w: (3 + x1)
Number of strict rules: 20
Direct poly ... failed.
Freezing ... 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 }
Sum... succeeded.
  incr(x1)		w: (15924 + x1)
  s(x1)		w: (15922 + x1)
  #a__head(x1)		w: (0)
  a__incr(x1)		w: (15924 + x1)
  a__nats()		w: (1)
  adx(x1)		w: (28104 + x1)
  zeros()		w: (1)
  #a__adx(x1)		w: (35234 + x1)
  tail(x1)		w: (1143 + x1)
  #mark(x1)		w: (35232 + x1)
  0()		w: (1)
  #a__zeros()		w: (0)
  nil()		w: (1)
  #a__nats()		w: (0)
  mark(x1)		w: (1 + x1)
  a__adx(x1)		w: (28104 + x1)
  nats()		w: (1)
  #a__incr(x1)		w: (35232 + x1)
  head(x1)		w: (20538 + x1)
  cons(x1,x2)		w: (1 + x1)
  a__tail(x1)		w: (1143 + x1)
  #a__tail(x1)		w: (0)
  a__zeros()		w: (2)
  a__head(x1)		w: (20538 + x1)
    USABLE RULES: { 1 2 4 6 9..24 }
    Removed DPs: #1 #3..5 #9..15
Number of SCCs: 0, DPs: 0