/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: fst(0(),Z) -> nil()
    2: fst(s(X),cons(Y,Z)) -> cons(Y,n__fst(activate(X),activate(Z)))
    3: from(X) -> cons(X,n__from(n__s(X)))
    4: add(0(),X) -> X
    5: add(s(X),Y) -> s(n__add(activate(X),Y))
    6: len(nil()) -> 0()
    7: len(cons(X,Z)) -> s(n__len(activate(Z)))
    8: fst(X1,X2) -> n__fst(X1,X2)
    9: from(X) -> n__from(X)
    10: s(X) -> n__s(X)
    11: add(X1,X2) -> n__add(X1,X2)
    12: len(X) -> n__len(X)
    13: activate(n__fst(X1,X2)) -> fst(activate(X1),activate(X2))
    14: activate(n__from(X)) -> from(activate(X))
    15: activate(n__s(X)) -> s(X)
    16: activate(n__add(X1,X2)) -> add(activate(X1),activate(X2))
    17: activate(n__len(X)) -> len(activate(X))
    18: activate(X) -> X
Number of strict rules: 18
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #fst(s(X),cons(Y,Z)) -> #activate(X)
   #2: #fst(s(X),cons(Y,Z)) -> #activate(Z)
   #3: #activate(n__fst(X1,X2)) -> #fst(activate(X1),activate(X2))
   #4: #activate(n__fst(X1,X2)) -> #activate(X1)
   #5: #activate(n__fst(X1,X2)) -> #activate(X2)
   #6: #activate(n__from(X)) -> #from(activate(X))
   #7: #activate(n__from(X)) -> #activate(X)
   #8: #len(cons(X,Z)) -> #s(n__len(activate(Z)))
   #9: #len(cons(X,Z)) -> #activate(Z)
   #10: #add(s(X),Y) -> #s(n__add(activate(X),Y))
   #11: #add(s(X),Y) -> #activate(X)
   #12: #activate(n__len(X)) -> #len(activate(X))
   #13: #activate(n__len(X)) -> #activate(X)
   #14: #activate(n__add(X1,X2)) -> #add(activate(X1),activate(X2))
   #15: #activate(n__add(X1,X2)) -> #activate(X1)
   #16: #activate(n__add(X1,X2)) -> #activate(X2)
   #17: #activate(n__s(X)) -> #s(X)
Number of SCCs: 1, DPs: 13
	SCC { #1..5 #7 #9 #11..16 }
Sum... succeeded.
  #len(x1)		w: (1 + x1)
  s(x1)		w: (x1)
  activate(x1)		w: (x1)
  n__from(x1)		w: (8856 + x1)
  fst(x1,x2)		w: (8367 + x2 + x1)
  #activate(x1)		w: (x1)
  n__add(x1,x2)		w: (11799 + x2 + x1)
  #fst(x1,x2)		w: (8366 + x2 + x1)
  n__s(x1)		w: (x1)
  0()		w: (1)
  from(x1)		w: (8856 + x1)
  #s(x1)		w: (0)
  nil()		w: (1)
  n__len(x1)		w: (32287 + x1)
  n__fst(x1,x2)		w: (8367 + x2 + x1)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (x2)
  #add(x1,x2)		w: (11798 + x1)
  add(x1,x2)		w: (11799 + x2 + x1)
  len(x1)		w: (32287 + x1)
    USABLE RULES: { 1..18 }
    Removed DPs: #1..5 #7 #9 #11..16
Number of SCCs: 0, DPs: 0