/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__nats() -> a__adx(a__zeros())
    2: a__zeros() -> cons(0(),zeros())
    3: a__incr(cons(X,Y)) -> cons(s(X),incr(Y))
    4: a__adx(cons(X,Y)) -> a__incr(cons(X,adx(Y)))
    5: a__hd(cons(X,Y)) -> mark(X)
    6: a__tl(cons(X,Y)) -> mark(Y)
    7: mark(nats()) -> a__nats()
    8: mark(adx(X)) -> a__adx(mark(X))
    9: mark(zeros()) -> a__zeros()
    10: mark(incr(X)) -> a__incr(mark(X))
    11: mark(hd(X)) -> a__hd(mark(X))
    12: mark(tl(X)) -> a__tl(mark(X))
    13: mark(cons(X1,X2)) -> cons(X1,X2)
    14: mark(0()) -> 0()
    15: mark(s(X)) -> s(X)
    16: a__nats() -> nats()
    17: a__adx(X) -> adx(X)
    18: a__zeros() -> zeros()
    19: a__incr(X) -> incr(X)
    20: a__hd(X) -> hd(X)
    21: a__tl(X) -> tl(X)
Number of strict rules: 21
Direct poly ... removes: 18 4 15 8 1 3 16 21 19 17 5 10 7 20 14 12 11 9 13 6 2
  incr(x1)		w: (4 + x1)
  hd(x1)		w: (26292 + 2 * x1)
  s(x1)		w: (1 + x1)
  a__incr(x1)		w: (7 + x1)
  a__nats()		w: (26309)
  adx(x1)		w: (9 + x1)
  zeros()		w: (1)
  a__hd(x1)		w: (26293 + 2 * x1)
  0()		w: (1)
  tl(x1)		w: (26292 + 2 * x1)
  mark(x1)		w: (26290 + 2 * x1)
  a__adx(x1)		w: (17 + x1)
  nats()		w: (10)
  cons(x1,x2)		w: (2998 + x2 + 2 * x1)
  a__tl(x1)		w: (26293 + 2 * x1)
  a__zeros()		w: (26291)
Number of strict rules: 0