/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: a__dbl1(0()) -> 01()
    11: a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
    12: a__sel1(0(),cons(X,Y)) -> mark(X)
    13: a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
    14: a__quote(0()) -> 01()
    15: a__quote(s(X)) -> s1(a__quote(mark(X)))
    16: a__quote(dbl(X)) -> a__dbl1(mark(X))
    17: a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
    18: mark(dbl(X)) -> a__dbl(mark(X))
    19: mark(dbls(X)) -> a__dbls(mark(X))
    20: mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
    21: mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
    22: mark(from(X)) -> a__from(X)
    23: mark(dbl1(X)) -> a__dbl1(mark(X))
    24: mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
    25: mark(quote(X)) -> a__quote(mark(X))
    26: mark(0()) -> 0()
    27: mark(s(X)) -> s(X)
    28: mark(nil()) -> nil()
    29: mark(cons(X1,X2)) -> cons(X1,X2)
    30: mark(01()) -> 01()
    31: mark(s1(X)) -> s1(mark(X))
    32: a__dbl(X) -> dbl(X)
    33: a__dbls(X) -> dbls(X)
    34: a__sel(X1,X2) -> sel(X1,X2)
    35: a__indx(X1,X2) -> indx(X1,X2)
    36: a__from(X) -> from(X)
    37: a__dbl1(X) -> dbl1(X)
    38: a__sel1(X1,X2) -> sel1(X1,X2)
    39: a__quote(X) -> quote(X)
Number of strict rules: 39
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: #a__sel1(s(X),cons(Y,Z)) -> #a__sel1(mark(X),mark(Z))
   #5: #a__sel1(s(X),cons(Y,Z)) -> #mark(X)
   #6: #a__sel1(s(X),cons(Y,Z)) -> #mark(Z)
   #7: #a__dbl1(s(X)) -> #a__dbl1(mark(X))
   #8: #a__dbl1(s(X)) -> #mark(X)
   #9: #mark(sel1(X1,X2)) -> #a__sel1(mark(X1),mark(X2))
   #10: #mark(sel1(X1,X2)) -> #mark(X1)
   #11: #mark(sel1(X1,X2)) -> #mark(X2)
   #12: #mark(dbl1(X)) -> #a__dbl1(mark(X))
   #13: #mark(dbl1(X)) -> #mark(X)
   #14: #a__sel1(0(),cons(X,Y)) -> #mark(X)
   #15: #mark(s1(X)) -> #mark(X)
   #16: #mark(quote(X)) -> #a__quote(mark(X))
   #17: #mark(quote(X)) -> #mark(X)
   #18: #mark(sel(X1,X2)) -> #a__sel(mark(X1),mark(X2))
   #19: #mark(sel(X1,X2)) -> #mark(X1)
   #20: #mark(sel(X1,X2)) -> #mark(X2)
   #21: #a__sel(0(),cons(X,Y)) -> #mark(X)
   #22: #mark(from(X)) -> #a__from(X)
   #23: #a__quote(sel(X,Y)) -> #a__sel1(mark(X),mark(Y))
   #24: #a__quote(sel(X,Y)) -> #mark(X)
   #25: #a__quote(sel(X,Y)) -> #mark(Y)
   #26: #mark(dbls(X)) -> #a__dbls(mark(X))
   #27: #mark(dbls(X)) -> #mark(X)
   #28: #mark(indx(X1,X2)) -> #a__indx(mark(X1),X2)
   #29: #mark(indx(X1,X2)) -> #mark(X1)
   #30: #a__quote(dbl(X)) -> #a__dbl1(mark(X))
   #31: #a__quote(dbl(X)) -> #mark(X)
   #32: #a__quote(s(X)) -> #a__quote(mark(X))
   #33: #a__quote(s(X)) -> #mark(X)
   #34: #mark(dbl(X)) -> #a__dbl(mark(X))
   #35: #mark(dbl(X)) -> #mark(X)
Number of SCCs: 1, DPs: 31
	SCC { #1..21 #23..25 #27 #29..33 #35 }
Sum... Max... succeeded.
  #a__quote(x1)		w: (8584 + x1)
  a__dbl1(x1)		w: (902 + x1)
  01()		w: (2576)
  s(x1)		w: (x1)
  #a__from(x1)		w: (0)
  dbls(x1)		w: (1 + x1)
  a__indx(x1,x2)		w: (max{16735 + x2, 16736 + x1})
  a__from(x1)		w: (8367 + x1)
  #a__indx(x1,x2)		w: (0)
  dbl(x1)		w: (1 + x1)
  indx(x1,x2)		w: (max{16735 + x2, 16736 + x1})
  #a__dbl1(x1)		w: (8584 + x1)
  a__dbl(x1)		w: (1 + x1)
  a__sel1(x1,x2)		w: (max{5390 + x2, 4991 + x1})
  #a__dbls(x1)		w: (0)
  #mark(x1)		w: (8583 + x1)
  0()		w: (32286)
  a__quote(x1)		w: (2439 + x1)
  sel(x1,x2)		w: (max{8368 + x2, 16736 + x1})
  from(x1)		w: (8367 + x1)
  #a__sel1(x1,x2)		w: (max{13575 + x2, 13573 + x1})
  nil()		w: (16736)
  dbl1(x1)		w: (902 + x1)
  #a__dbl(x1)		w: (0)
  #a__sel(x1,x2)		w: (max{8584 + x2, 16950 + x1})
  mark(x1)		w: (x1)
  a__sel(x1,x2)		w: (max{8368 + x2, 16736 + x1})
  a__dbls(x1)		w: (1 + x1)
  quote(x1)		w: (2439 + x1)
  cons(x1,x2)		w: (max{x2, 8367 + x1})
  sel1(x1,x2)		w: (max{5390 + x2, 4991 + x1})
  s1(x1)		w: (x1)
    USABLE RULES: { 1..39 }
    Removed DPs: #2 #3 #5 #6 #8..14 #16..21 #23..25 #27 #29..31 #33 #35
Number of SCCs: 5, DPs: 5
	SCC { #15 }
Sum... succeeded.
  #a__quote(x1)		w: (0)
  a__dbl1(x1)		w: (842 + x1)
  01()		w: (19433)
  s(x1)		w: (2 + x1)
  #a__from(x1)		w: (0)
  dbls(x1)		w: (2448)
  a__indx(x1,x2)		w: (2)
  a__from(x1)		w: (2)
  #a__indx(x1,x2)		w: (0)
  dbl(x1)		w: (18590 + x1)
  indx(x1,x2)		w: (3 + x2 + x1)
  #a__dbl1(x1)		w: (0)
  a__dbl(x1)		w: (18589)
  a__sel1(x1,x2)		w: (3)
  #a__dbls(x1)		w: (0)
  #mark(x1)		w: (x1)
  0()		w: (18590)
  a__quote(x1)		w: (2)
  sel(x1,x2)		w: (32281)
  from(x1)		w: (3 + x1)
  #a__sel1(x1,x2)		w: (0)
  nil()		w: (3)
  dbl1(x1)		w: (843)
  #a__dbl(x1)		w: (0)
  #a__sel(x1,x2)		w: (0)
  mark(x1)		w: (1)
  a__sel(x1,x2)		w: (32280)
  a__dbls(x1)		w: (2447 + x1)
  quote(x1)		w: (3)
  cons(x1,x2)		w: (2 + x2)
  sel1(x1,x2)		w: (4)
  s1(x1)		w: (591 + x1)
    USABLE RULES: { }
    Removed DPs: #15
Number of SCCs: 4, DPs: 4
	SCC { #32 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  #a__quote(x1)	0[x1]	w: (1 + x1)
  a__dbl1(x1)	2[]	w: (734)
  01()	1	w: (733)
  s(x1)	1[x1]	w: (x1)
  #a__from(x1)	0[]	w: (1)
  dbls(x1)	4[]	w: (1435 + x1)
  a__indx(x1,x2)	3[x2]	w: (846 + x2)
  a__from(x1)	2[]	w: (3290 + x1)
  #a__indx(x1,x2)	0[x1,x2]	w: (1 + x2 + x1)
  dbl(x1)	3[x1]	w: (1434 + x1)
  indx(x1,x2)	3[x2]	w: (846 + x2)
  #a__dbl1(x1)	0[]	w: (x1)
  a__dbl(x1)	3[x1]	w: (1434 + x1)
  a__sel1(x1,x2)	2[]	w: (1 + x2)
  #a__dbls(x1)	0[]	w: (1)
  #mark(x1)	0[]	w: (x1)
  0()	3	w: (19321)
  a__quote(x1)	1[x1]	w: (16908 + x1)
  sel(x1,x2)	2[]	w: (2 + x2)
  from(x1)	2[]	w: (3290 + x1)
  #a__sel1(x1,x2)	0[x1,x2]	w: (1 + x2 + x1)
  nil()	3	w: (733)
  dbl1(x1)	2[]	w: (734)
  #a__dbl(x1)	0[]	w: (1)
  #a__sel(x1,x2)	0[x2,x1]	w: (1 + x2 + x1)
  mark(x1)	x1	w: (x1)
  a__sel(x1,x2)	2[]	w: (2 + x2)
  a__dbls(x1)	4[]	w: (1435 + x1)
  quote(x1)	1[x1]	w: (16908 + x1)
  cons(x1,x2)	0[x1]	w: (max{x2, 843 + x1})
  sel1(x1,x2)	2[]	w: (1 + x2)
  s1(x1)	x1	w: (x1)
    USABLE RULES: { 1..39 }
    Removed DPs: #32
Number of SCCs: 3, DPs: 3
	SCC { #7 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  #a__quote(x1)	0[x1]	w: (1 + x1)
  a__dbl1(x1)	2[]	w: (2)
  01()	1	w: (1)
  s(x1)	1[x1]	w: (x1)
  #a__from(x1)	0[]	w: (1)
  dbls(x1)	4[]	w: (12623 + x1)
  a__indx(x1,x2)	3[x2]	w: (846 + x2)
  a__from(x1)	2[]	w: (14906 + x1)
  #a__indx(x1,x2)	0[x1,x2]	w: (1 + x2 + x1)
  dbl(x1)	3[x1]	w: (12621 + x1)
  indx(x1,x2)	3[x2]	w: (846 + x2)
  #a__dbl1(x1)	0[x1]	w: (x1)
  a__dbl(x1)	3[x1]	w: (12621 + x1)
  a__sel1(x1,x2)	2[]	w: (1 + x2)
  #a__dbls(x1)	0[]	w: (1)
  #mark(x1)	0[]	w: (x1)
  0()	3	w: (2)
  a__quote(x1)	1[x1]	w: (16908 + x1)
  sel(x1,x2)	2[]	w: (2 + x2)
  from(x1)	2[]	w: (14906 + x1)
  #a__sel1(x1,x2)	0[x1,x2]	w: (1 + x2 + x1)
  nil()	3	w: (23)
  dbl1(x1)	2[]	w: (2)
  #a__dbl(x1)	0[]	w: (1)
  #a__sel(x1,x2)	0[x2,x1]	w: (1 + x2 + x1)
  mark(x1)	x1	w: (x1)
  a__sel(x1,x2)	2[]	w: (2 + x2)
  a__dbls(x1)	4[]	w: (12623 + x1)
  quote(x1)	1[x1]	w: (16908 + x1)
  cons(x1,x2)	0[x1]	w: (max{x2, 3 + x1})
  sel1(x1,x2)	2[]	w: (1 + x2)
  s1(x1)	x1	w: (x1)
    USABLE RULES: { 1..39 }
    Removed DPs: #7
Number of SCCs: 2, DPs: 2
	SCC { #4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  #a__quote(x1)	0[x1]	w: (1 + x1)
  a__dbl1(x1)	2[]	w: (12)
  01()	1	w: (11)
  s(x1)	1[x1]	w: (x1)
  #a__from(x1)	0[]	w: (1)
  dbls(x1)	4[]	w: (21 + x1)
  a__indx(x1,x2)	3[x2]	w: (846 + x2)
  a__from(x1)	2[]	w: (14922 + x1)
  #a__indx(x1,x2)	0[x1,x2]	w: (1 + x2 + x1)
  dbl(x1)	3[x1]	w: (20 + x1)
  indx(x1,x2)	3[x2]	w: (846 + x2)
  #a__dbl1(x1)	0[x1]	w: (x1)
  a__dbl(x1)	3[x1]	w: (20 + x1)
  a__sel1(x1,x2)	2[]	w: (1 + x2)
  #a__dbls(x1)	0[]	w: (1)
  #mark(x1)	0[]	w: (x1)
  0()	3	w: (17899)
  a__quote(x1)	1[x1]	w: (16908 + x1)
  sel(x1,x2)	2[]	w: (18 + x2)
  from(x1)	2[]	w: (14922 + x1)
  #a__sel1(x1,x2)	x1	w: (x1)
  nil()	3	w: (23)
  dbl1(x1)	2[]	w: (12)
  #a__dbl(x1)	0[]	w: (1)
  #a__sel(x1,x2)	0[x2,x1]	w: (1 + x2 + x1)
  mark(x1)	x1	w: (x1)
  a__sel(x1,x2)	2[]	w: (18 + x2)
  a__dbls(x1)	4[]	w: (21 + x1)
  quote(x1)	1[x1]	w: (16908 + x1)
  cons(x1,x2)	0[x1]	w: (max{x2, 19 + x1})
  sel1(x1,x2)	2[]	w: (1 + x2)
  s1(x1)	x1	w: (x1)
    USABLE RULES: { 1..39 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  #a__quote(x1)	0[x1]	w: (1 + x1)
  a__dbl1(x1)	4[]	w: (4)
  01()	3	w: (1)
  s(x1)	3[x1]	w: (x1)
  #a__from(x1)	0[]	w: (1)
  dbls(x1)	6[]	w: (7 + x1)
  a__indx(x1,x2)	5[x2]	w: (846 + x2)
  a__from(x1)	4[]	w: (22485 + x1)
  #a__indx(x1,x2)	0[x1,x2]	w: (1 + x2 + x1)
  dbl(x1)	5[x1]	w: (5 + x1)
  indx(x1,x2)	5[x2]	w: (846 + x2)
  #a__dbl1(x1)	0[x1]	w: (x1)
  a__dbl(x1)	5[x1]	w: (5 + x1)
  a__sel1(x1,x2)	4[]	w: (2 + x2)
  #a__dbls(x1)	0[]	w: (1)
  #mark(x1)	0[]	w: (x1)
  0()	5	w: (2)
  a__quote(x1)	3[x1]	w: (16908 + x1)
  sel(x1,x2)	4[]	w: (3 + x2)
  from(x1)	4[]	w: (22485 + x1)
  #a__sel1(x1,x2)	x1	w: (x1)
  nil()	5	w: (23)
  dbl1(x1)	4[]	w: (4)
  #a__dbl(x1)	0[]	w: (1)
  #a__sel(x1,x2)	1[x1]	w: (5 + x2 + x1)
  mark(x1)	x1	w: (x1)
  a__sel(x1,x2)	4[]	w: (3 + x2)
  a__dbls(x1)	6[]	w: (7 + x1)
  quote(x1)	3[x1]	w: (16908 + x1)
  cons(x1,x2)	0[x1]	w: (max{x2, 4 + x1})
  sel1(x1,x2)	4[]	w: (2 + x2)
  s1(x1)	x1	w: (x1)
    USABLE RULES: { 1..39 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0