/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__dbl(0()) -> 0()
    2: a__dbl(s(X)) -> s(s(dbl(X)))
    3: a__dbls(nil()) -> nil()
    4: a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
    5: a__sel(0(),cons(X,Y)) -> mark(X)
    6: a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
    7: a__indx(nil(),X) -> nil()
    8: a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
    9: a__from(X) -> cons(X,from(s(X)))
    10: mark(dbl(X)) -> a__dbl(mark(X))
    11: mark(dbls(X)) -> a__dbls(mark(X))
    12: mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
    13: mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
    14: mark(from(X)) -> a__from(X)
    15: mark(0()) -> 0()
    16: mark(s(X)) -> s(X)
    17: mark(nil()) -> nil()
    18: mark(cons(X1,X2)) -> cons(X1,X2)
    19: a__dbl(X) -> dbl(X)
    20: a__dbls(X) -> dbls(X)
    21: a__sel(X1,X2) -> sel(X1,X2)
    22: a__indx(X1,X2) -> indx(X1,X2)
    23: a__from(X) -> from(X)
Number of strict rules: 23
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__sel(s(X),cons(Y,Z)) -> #a__sel(mark(X),mark(Z))
   #2: #a__sel(s(X),cons(Y,Z)) -> #mark(X)
   #3: #a__sel(s(X),cons(Y,Z)) -> #mark(Z)
   #4: #mark(indx(X1,X2)) -> #a__indx(mark(X1),X2)
   #5: #mark(indx(X1,X2)) -> #mark(X1)
   #6: #mark(dbls(X)) -> #a__dbls(mark(X))
   #7: #mark(dbls(X)) -> #mark(X)
   #8: #mark(sel(X1,X2)) -> #a__sel(mark(X1),mark(X2))
   #9: #mark(sel(X1,X2)) -> #mark(X1)
   #10: #mark(sel(X1,X2)) -> #mark(X2)
   #11: #mark(from(X)) -> #a__from(X)
   #12: #mark(dbl(X)) -> #a__dbl(mark(X))
   #13: #mark(dbl(X)) -> #mark(X)
   #14: #a__sel(0(),cons(X,Y)) -> #mark(X)
Number of SCCs: 1, DPs: 10
	SCC { #1..3 #5 #7..10 #13 #14 }
Sum... Max... succeeded.
  s(x1)		w: (x1)
  #a__from(x1)		w: (0)
  dbls(x1)		w: (1 + x1)
  a__indx(x1,x2)		w: (max{47519 + x2, 35720 + x1})
  a__from(x1)		w: (11798 + x1)
  #a__indx(x1,x2)		w: (0)
  dbl(x1)		w: (1 + x1)
  indx(x1,x2)		w: (max{47519 + x2, 35720 + x1})
  a__dbl(x1)		w: (1 + x1)
  #a__dbls(x1)		w: (0)
  #mark(x1)		w: (x1)
  0()		w: (10451)
  sel(x1,x2)		w: (max{35721 + x2, 32288 + x1})
  from(x1)		w: (11798 + x1)
  nil()		w: (47520)
  #a__dbl(x1)		w: (0)
  #a__sel(x1,x2)		w: (max{32287 + x2, 32286 + x1})
  mark(x1)		w: (x1)
  a__sel(x1,x2)		w: (max{35721 + x2, 32288 + x1})
  a__dbls(x1)		w: (1 + x1)
  cons(x1,x2)		w: (max{x2, 11798 + x1})
    USABLE RULES: { 1..23 }
    Removed DPs: #2 #3 #5 #7..10 #13 #14
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  s(x1)	2[x1]	w: (x1)
  #a__from(x1)	0[]	w: (1)
  dbls(x1)	4[]	w: (33120 + x1)
  a__indx(x1,x2)	5[x2,x1]	w: (85693 + x2 + x1)
  a__from(x1)	3[]	w: (42847 + x1)
  #a__indx(x1,x2)	0[]	w: (1)
  dbl(x1)	3[x1]	w: (841 + x1)
  indx(x1,x2)	5[x2,x1]	w: (85693 + x2 + x1)
  a__dbl(x1)	3[x1]	w: (841 + x1)
  #a__dbls(x1)	0[]	w: (1)
  #mark(x1)	0[]	w: (1)
  0()	0	w: (2447)
  sel(x1,x2)	2[]	w: (42846 + x2)
  from(x1)	3[]	w: (42847 + x1)
  nil()	5	w: (591)
  #a__dbl(x1)	0[]	w: (x1)
  #a__sel(x1,x2)	x1	w: (x1)
  mark(x1)	x1	w: (x1)
  a__sel(x1,x2)	2[]	w: (42846 + x2)
  a__dbls(x1)	4[]	w: (33120 + x1)
  cons(x1,x2)	2[]	w: (max{x2, 42846 + x1})
    USABLE RULES: { 1..23 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0