/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: active(f(0())) -> mark(cons(0(),f(s(0()))))
    2: active(f(s(0()))) -> mark(f(p(s(0()))))
    3: active(p(s(0()))) -> mark(0())
    4: mark(f(X)) -> active(f(mark(X)))
    5: mark(0()) -> active(0())
    6: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    7: mark(s(X)) -> active(s(mark(X)))
    8: mark(p(X)) -> active(p(mark(X)))
    9: f(mark(X)) -> f(X)
    10: f(active(X)) -> f(X)
    11: cons(mark(X1),X2) -> cons(X1,X2)
    12: cons(X1,mark(X2)) -> cons(X1,X2)
    13: cons(active(X1),X2) -> cons(X1,X2)
    14: cons(X1,active(X2)) -> cons(X1,X2)
    15: s(mark(X)) -> s(X)
    16: s(active(X)) -> s(X)
    17: p(mark(X)) -> p(X)
    18: p(active(X)) -> p(X)
Number of strict rules: 18
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #active(f(s(0()))) -> #mark(f(p(s(0()))))
   #2: #active(f(s(0()))) -> #f(p(s(0())))
   #3: #active(f(s(0()))) -> #p(s(0()))
   #4: #mark(cons(X1,X2)) -> #active(cons(mark(X1),X2))
   #5: #mark(cons(X1,X2)) -> #cons(mark(X1),X2)
   #6: #mark(cons(X1,X2)) -> #mark(X1)
   #7: #cons(active(X1),X2) -> #cons(X1,X2)
   #8: #f(mark(X)) -> #f(X)
   #9: #cons(mark(X1),X2) -> #cons(X1,X2)
   #10: #cons(X1,mark(X2)) -> #cons(X1,X2)
   #11: #cons(X1,active(X2)) -> #cons(X1,X2)
   #12: #mark(s(X)) -> #active(s(mark(X)))
   #13: #mark(s(X)) -> #s(mark(X))
   #14: #mark(s(X)) -> #mark(X)
   #15: #f(active(X)) -> #f(X)
   #16: #mark(0()) -> #active(0())
   #17: #p(mark(X)) -> #p(X)
   #18: #s(active(X)) -> #s(X)
   #19: #active(p(s(0()))) -> #mark(0())
   #20: #active(f(0())) -> #mark(cons(0(),f(s(0()))))
   #21: #active(f(0())) -> #cons(0(),f(s(0())))
   #22: #active(f(0())) -> #f(s(0()))
   #23: #active(f(0())) -> #s(0())
   #24: #mark(p(X)) -> #active(p(mark(X)))
   #25: #mark(p(X)) -> #p(mark(X))
   #26: #mark(p(X)) -> #mark(X)
   #27: #s(mark(X)) -> #s(X)
   #28: #mark(f(X)) -> #active(f(mark(X)))
   #29: #mark(f(X)) -> #f(mark(X))
   #30: #mark(f(X)) -> #mark(X)
   #31: #p(active(X)) -> #p(X)
Number of SCCs: 5, DPs: 17
	SCC { #18 #27 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (0)
  #p(x1)		w: (0)
  f(x1)		w: (0)
  p(x1)		w: (0)
  #mark(x1)		w: (0)
  0()		w: (0)
  #s(x1)		w: (x1)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #18 #27
Number of SCCs: 4, DPs: 15
	SCC { #17 #31 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (0)
  #p(x1)		w: (x1)
  f(x1)		w: (0)
  p(x1)		w: (0)
  #mark(x1)		w: (0)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #17 #31
Number of SCCs: 3, DPs: 13
	SCC { #8 #15 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (0)
  #p(x1)		w: (0)
  f(x1)		w: (0)
  p(x1)		w: (0)
  #mark(x1)		w: (0)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (x1)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8 #15
Number of SCCs: 2, DPs: 11
	SCC { #7 #9..11 }
Sum... succeeded.
  #cons(x1,x2)		w: (x2 + x1)
  s(x1)		w: (0)
  #p(x1)		w: (0)
  f(x1)		w: (0)
  p(x1)		w: (0)
  #mark(x1)		w: (0)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (1 + x1)
  #f(x1)		w: (0)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7 #9..11
Number of SCCs: 1, DPs: 7
	SCC { #1 #6 #14 #20 #26 #28 #30 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (x1)
  #p(x1)		w: (0)
  f(x1)		w: (2 + x1)
  p(x1)		w: (x1)
  #mark(x1)		w: (1423 + x1)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (28103 + x1)
  #f(x1)		w: (0)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (1 + x1)
  #active(x1)		w: (1425)
    USABLE RULES: { }
    Removed DPs: #6 #20 #30
Number of SCCs: 2, DPs: 4
	SCC { #14 #26 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (x1)
  #p(x1)		w: (0)
  f(x1)		w: (2998 + x1)
  p(x1)		w: (1 + x1)
  #mark(x1)		w: (1423 + x1)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (26287)
  #f(x1)		w: (0)
  active(x1)		w: (26286)
  cons(x1,x2)		w: (1)
  #active(x1)		w: (1425)
    USABLE RULES: { }
    Removed DPs: #26
Number of SCCs: 2, DPs: 3
	SCC { #14 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #p(x1)		w: (0)
  f(x1)		w: (x1)
  p(x1)		w: (0)
  #mark(x1)		w: (1423 + x1)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (2 + x1)
  #f(x1)		w: (0)
  active(x1)		w: (1)
  cons(x1,x2)		w: (1 + x1)
  #active(x1)		w: (1425)
    USABLE RULES: { }
    Removed DPs: #14
Number of SCCs: 1, DPs: 2
	SCC { #1 #28 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  s(x1)		w: (2)
  #p(x1)		w: (0)
  f(x1)		w: (833 + x1)
  p(x1)		w: (0)
  #mark(x1)		w: (19178 + x1)
  0()		w: (0)
  #s(x1)		w: (0)
  mark(x1)		w: (x1)
  #f(x1)		w: (0)
  active(x1)		w: (x1)
  cons(x1,x2)		w: (826 + x1)
  #active(x1)		w: (19177 + x1)
    USABLE RULES: { 1..18 }
    Removed DPs: #1 #28
Number of SCCs: 0, DPs: 0