/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: dbl(0()) -> 0()
    2: dbl(s(X)) -> s(n__s(n__dbl(activate(X))))
    3: dbls(nil()) -> nil()
    4: dbls(cons(X,Y)) -> cons(n__dbl(activate(X)),n__dbls(activate(Y)))
    5: sel(0(),cons(X,Y)) -> activate(X)
    6: sel(s(X),cons(Y,Z)) -> sel(activate(X),activate(Z))
    7: indx(nil(),X) -> nil()
    8: indx(cons(X,Y),Z) -> cons(n__sel(activate(X),activate(Z)),n__indx(activate(Y),activate(Z)))
    9: from(X) -> cons(activate(X),n__from(n__s(activate(X))))
    10: s(X) -> n__s(X)
    11: dbl(X) -> n__dbl(X)
    12: dbls(X) -> n__dbls(X)
    13: sel(X1,X2) -> n__sel(X1,X2)
    14: indx(X1,X2) -> n__indx(X1,X2)
    15: from(X) -> n__from(X)
    16: activate(n__s(X)) -> s(X)
    17: activate(n__dbl(X)) -> dbl(X)
    18: activate(n__dbls(X)) -> dbls(X)
    19: activate(n__sel(X1,X2)) -> sel(X1,X2)
    20: activate(n__indx(X1,X2)) -> indx(X1,X2)
    21: activate(n__from(X)) -> from(X)
    22: activate(X) -> X
Number of strict rules: 22
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #dbl(s(X)) -> #s(n__s(n__dbl(activate(X))))
   #2: #dbl(s(X)) -> #activate(X)
   #3: #sel(s(X),cons(Y,Z)) -> #sel(activate(X),activate(Z))
   #4: #sel(s(X),cons(Y,Z)) -> #activate(X)
   #5: #sel(s(X),cons(Y,Z)) -> #activate(Z)
   #6: #from(X) -> #activate(X)
   #7: #from(X) -> #activate(X)
   #8: #activate(n__indx(X1,X2)) -> #indx(X1,X2)
   #9: #sel(0(),cons(X,Y)) -> #activate(X)
   #10: #activate(n__dbl(X)) -> #dbl(X)
   #11: #activate(n__sel(X1,X2)) -> #sel(X1,X2)
   #12: #activate(n__from(X)) -> #from(X)
   #13: #activate(n__s(X)) -> #s(X)
   #14: #indx(cons(X,Y),Z) -> #activate(X)
   #15: #indx(cons(X,Y),Z) -> #activate(Z)
   #16: #indx(cons(X,Y),Z) -> #activate(Y)
   #17: #indx(cons(X,Y),Z) -> #activate(Z)
   #18: #dbls(cons(X,Y)) -> #activate(X)
   #19: #dbls(cons(X,Y)) -> #activate(Y)
   #20: #activate(n__dbls(X)) -> #dbls(X)
Number of SCCs: 1, DPs: 18
	SCC { #2..12 #14..20 }
Sum... Max... succeeded.
  s(x1)		w: (x1)
  dbls(x1)		w: (2 + x1)
  activate(x1)		w: (x1)
  dbl(x1)		w: (2 + x1)
  indx(x1,x2)		w: (max{8370 + x2, 8369 + x1})
  n__indx(x1,x2)		w: (max{8370 + x2, 8369 + x1})
  n__from(x1)		w: (8368 + x1)
  #dbl(x1)		w: (1 + x1)
  #activate(x1)		w: (x1)
  #dbls(x1)		w: (1 + x1)
  n__dbls(x1)		w: (2 + x1)
  n__s(x1)		w: (x1)
  n__dbl(x1)		w: (2 + x1)
  0()		w: (32286)
  #sel(x1,x2)		w: (max{1 + x2, 8368 + x1})
  #indx(x1,x2)		w: (max{5509 + x2, 8368 + x1})
  sel(x1,x2)		w: (max{2 + x2, 8369 + x1})
  from(x1)		w: (8368 + x1)
  #s(x1)		w: (0)
  nil()		w: (8371)
  n__sel(x1,x2)		w: (max{2 + x2, 8369 + x1})
  #from(x1)		w: (1 + x1)
  cons(x1,x2)		w: (max{x2, 8368 + x1})
    USABLE RULES: { 1..22 }
    Removed DPs: #2 #4..12 #14..20
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  s(x1)	6[x1]	w: (x1)
  dbls(x1)	3[x1]	w: (20543 + x1)
  activate(x1)	4[x1]	w: (x1)
  dbl(x1)	7[x1]	w: (20540 + x1)
  indx(x1,x2)	4[]	w: (4 + x2)
  n__indx(x1,x2)	2[x2]	w: (4 + x2)
  n__from(x1)	0[]	w: (3 + x1)
  #dbl(x1)	0[]	w: (x1)
  #activate(x1)	0[]	w: (1)
  #dbls(x1)	0[]	w: (x1)
  n__dbls(x1)	2[x1]	w: (20543 + x1)
  n__s(x1)	6[x1]	w: (x1)
  n__dbl(x1)	7[x1]	w: (20540 + x1)
  0()	3	w: (1)
  #sel(x1,x2)	5[x1]	w: (x1)
  #indx(x1,x2)	0[x1]	w: (1 + x1)
  sel(x1,x2)	7[]	w: (1 + x2)
  from(x1)	1[]	w: (3 + x1)
  #s(x1)	0[]	w: (x1)
  nil()	4	w: (1)
  n__sel(x1,x2)	7[]	w: (1 + x2)
  #from(x1)	0[]	w: (x1)
  cons(x1,x2)	1[]	w: (max{x2, 2 + x1})
    USABLE RULES: { 1..22 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0