/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: from(X) -> cons(X,n__from(n__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: s(X) -> n__s(X)
    8: first(X1,X2) -> n__first(X1,X2)
    9: activate(n__from(X)) -> from(activate(X))
    10: activate(n__s(X)) -> s(activate(X))
    11: activate(n__first(X1,X2)) -> first(activate(X1),activate(X2))
    12: activate(X) -> X
Number of strict rules: 12
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #activate(n__from(X)) -> #from(activate(X))
   #2: #activate(n__from(X)) -> #activate(X)
   #3: #activate(n__first(X1,X2)) -> #first(activate(X1),activate(X2))
   #4: #activate(n__first(X1,X2)) -> #activate(X1)
   #5: #activate(n__first(X1,X2)) -> #activate(X2)
   #6: #activate(n__s(X)) -> #s(activate(X))
   #7: #activate(n__s(X)) -> #activate(X)
   #8: #sel(s(X),cons(Y,Z)) -> #sel(X,activate(Z))
   #9: #sel(s(X),cons(Y,Z)) -> #activate(Z)
   #10: #first(s(X),cons(Y,Z)) -> #activate(Z)
Number of SCCs: 2, DPs: 7
	SCC { #8 }
Sum... succeeded.
  s(x1)		w: (3 + x1)
  n__first(x1,x2)		w: (1 + x1)
  activate(x1)		w: (1 + x1)
  n__from(x1)		w: (8856)
  #activate(x1)		w: (0)
  n__s(x1)		w: (3 + x1)
  0()		w: (20163)
  #sel(x1,x2)		w: (32286 + x2 + x1)
  from(x1)		w: (8857)
  sel(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #first(x1,x2)		w: (0)
  nil()		w: (0)
  first(x1,x2)		w: (1 + x1)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (1 + x2)
    USABLE RULES: { 1..3 6..12 }
    Removed DPs: #8
Number of SCCs: 1, DPs: 6
	SCC { #2..5 #7 #10 }
Sum... succeeded.
  s(x1)		w: (x1)
  n__first(x1,x2)		w: (26287 + x2 + x1)
  activate(x1)		w: (x1)
  n__from(x1)		w: (2998 + x1)
  #activate(x1)		w: (x1)
  n__s(x1)		w: (x1)
  0()		w: (1)
  #sel(x1,x2)		w: (32286)
  from(x1)		w: (2998 + x1)
  sel(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #first(x1,x2)		w: (26286 + x2)
  nil()		w: (0)
  first(x1,x2)		w: (26287 + x2 + x1)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (x2)
    USABLE RULES: { 1..3 6..12 }
    Removed DPs: #2..5 #10
Number of SCCs: 1, DPs: 1
	SCC { #7 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  n__first(x1,x2)		w: (44742 + x2 + x1)
  activate(x1)		w: (x1)
  n__from(x1)		w: (1)
  #activate(x1)		w: (x1)
  n__s(x1)		w: (1 + x1)
  0()		w: (1)
  #sel(x1,x2)		w: (32286)
  from(x1)		w: (1)
  sel(x1,x2)		w: (0)
  #s(x1)		w: (0)
  #first(x1,x2)		w: (26286 + x2)
  nil()		w: (0)
  first(x1,x2)		w: (44742 + x2 + x1)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (0)
    USABLE RULES: { 1..3 6..12 }
    Removed DPs: #7
Number of SCCs: 0, DPs: 0