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


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


YES
Input TRS:
    1: from(X) -> cons(X,n__from(s(X)))
    2: first(0(),Z) -> nil()
    3: first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z)))
    4: sel(0(),cons(X,Z)) -> X
    5: sel(s(X),cons(Y,Z)) -> sel(X,activate(Z))
    6: from(X) -> n__from(X)
    7: first(X1,X2) -> n__first(X1,X2)
    8: activate(n__from(X)) -> from(X)
    9: activate(n__first(X1,X2)) -> first(X1,X2)
    10: activate(X) -> X
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #activate(n__first(X1,X2)) -> #first(X1,X2)
   #2: #sel(s(X),cons(Y,Z)) -> #sel(X,activate(Z))
   #3: #sel(s(X),cons(Y,Z)) -> #activate(Z)
   #4: #first(s(X),cons(Y,Z)) -> #activate(Z)
   #5: #activate(n__from(X)) -> #from(X)
Number of SCCs: 2, DPs: 3
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (2 + x1)
  n__first(x1,x2)		w: (1 + x2 + x1)
  activate(x1)		w: (21239 + x1)
  n__from(x1)		w: (1)
  #activate(x1)		w: (0)
  0()		w: (1)
  #sel(x1,x2)		w: (2437 + x2 + x1)
  from(x1)		w: (21240)
  sel(x1,x2)		w: (0)
  #first(x1,x2)		w: (0)
  nil()		w: (0)
  first(x1,x2)		w: (21240 + x2 + x1)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (21239 + x2)
    USABLE RULES: { 1..3 6..10 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
	SCC { #1 #4 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  n__first(x1,x2)		w: (5719 + x2 + x1)
  activate(x1)		w: (14380 + x1)
  n__from(x1)		w: (57704)
  #activate(x1)		w: (x1)
  0()		w: (1143)
  #sel(x1,x2)		w: (2437 + x2)
  from(x1)		w: (57705)
  sel(x1,x2)		w: (0)
  #first(x1,x2)		w: (5718 + x2)
  nil()		w: (0)
  first(x1,x2)		w: (20098 + x2 + x1)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (1 + x2)
    USABLE RULES: { 1..3 6..10 }
    Removed DPs: #1 #4
Number of SCCs: 0, DPs: 0