/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__f(0()) -> cons(0(),f(s(0())))
    2: a__f(s(0())) -> a__f(a__p(s(0())))
    3: a__p(s(0())) -> 0()
    4: mark(f(X)) -> a__f(mark(X))
    5: mark(p(X)) -> a__p(mark(X))
    6: mark(0()) -> 0()
    7: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    8: mark(s(X)) -> s(mark(X))
    9: a__f(X) -> f(X)
    10: a__p(X) -> p(X)
Number of strict rules: 10
Direct poly ... removes: 4 8 1 3 7 9 6
  s(x1)		w: (32279 + x1)
  a__f(x1)		w: (69461 + x1)
  a__p(x1)		w: (x1)
  f(x1)		w: (34731 + x1)
  p(x1)		w: (x1)
  0()		w: (1)
  mark(x1)		w: (2447 + 2 * x1)
  cons(x1,x2)		w: (2448 + x2 + 2 * x1)
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__f(s(0())) -> #a__f(a__p(s(0())))
   #2: #a__f(s(0())) -> #a__p(s(0()))
   #3: #mark(p(X)) -> #a__p(mark(X))
   #4: #mark(p(X)) -> #mark(X)
Number of SCCs: 1, DPs: 1
	SCC { #4 }
Sum... succeeded.
  s(x1)		w: (0)
  a__f(x1)		w: (0)
  a__p(x1)		w: (0)
  f(x1)		w: (0)
  p(x1)		w: (1 + x1)
  #mark(x1)		w: (x1)
  0()		w: (0)
  mark(x1)		w: (0)
  #a__p(x1)		w: (0)
  cons(x1,x2)		w: (0)
  #a__f(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0