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


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


YES
Input TRS:
    1: intlist(nil()) -> nil()
    2: int(s(x),0()) -> nil()
    3: int(x,x) -> cons(x,nil())
    4: intlist(cons(x,y)) -> cons(s(x),intlist(y))
    5: int(s(x),s(y)) -> intlist(int(x,y))
    6: int(0(),s(y)) -> cons(0(),int(s(0()),s(y)))
    7: intlist(cons(x,nil())) -> cons(s(x),nil())
Number of strict rules: 7
Direct poly ... removes: 3 2
  s(x1)		w: (x1)
  0()		w: (0)
  nil()		w: (12618)
  intlist(x1)		w: (x1)
  int(x1,x2)		w: (12619 + x2 + x1)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 5
Direct poly ... removes: 1 7
  s(x1)		w: (2 * x1)
  0()		w: (0)
  nil()		w: (1)
  intlist(x1)		w: (2 * x1)
  int(x1,x2)		w: (x2 + x1)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 3
Direct poly ... failed.
Freezing int
4: intlist(cons(x,y)) -> cons(s(x),intlist(y))
5: int❆1_s(x,s(y)) -> intlist(int(x,y))
6: int❆1_0(s(y)) -> cons(0(),int❆1_s(0(),s(y)))
8: int(0(),_1) ->= int❆1_0(_1)
9: int(s(_1),_2) ->= int❆1_s(_1,_2)
Number of strict rules: 3
Direct poly ... removes: 9
  s(x1)		w: (25907 + 2 * x1)
  int❆1_0(x1)		w: (25907 + 2 * x1)
  int❆1_s(x1,x2)		w: (2 * x2 + 2 * x1)
  0()		w: (0)
  nil()		w: (0)
  intlist(x1)		w: (2 * x1)
  int(x1,x2)		w: (25907 + 2 * x2 + x1)
  cons(x1,x2)		w: (25907 + x2 + x1)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #int❆1_0(s(y)) -> #int❆1_s(0(),s(y))
   #2: #int❆1_s(x,s(y)) -> #intlist(int(x,y))
   #3: #int❆1_s(x,s(y)) -> #int(x,y)
   #4: #int(0(),_1) ->? #int❆1_0(_1)
   #5: #intlist(cons(x,y)) -> #intlist(y)
Number of SCCs: 2, DPs: 4
	SCC { #5 }
Sum... succeeded.
  #intlist(x1)		w: (x1)
  s(x1)		w: (0)
  int❆1_0(x1)		w: (0)
  int❆1_s(x1,x2)		w: (0)
  #int❆1_0(x1)		w: (0)
  #int❆1_s(x1,x2)		w: (0)
  0()		w: (0)
  nil()		w: (0)
  intlist(x1)		w: (0)
  int(x1,x2)		w: (0)
  cons(x1,x2)		w: (1 + x2)
  #int(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 1, DPs: 3
	SCC { #1 #3 #4 }
Sum... succeeded.
  #intlist(x1)		w: (0)
  s(x1)		w: (7722 + x1)
  int❆1_0(x1)		w: (0)
  int❆1_s(x1,x2)		w: (0)
  #int❆1_0(x1)		w: (2 + x1)
  #int❆1_s(x1,x2)		w: (x2 + x1)
  0()		w: (1)
  nil()		w: (0)
  intlist(x1)		w: (0)
  int(x1,x2)		w: (0)
  cons(x1,x2)		w: (1)
  #int(x1,x2)		w: (7721 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #1 #3 #4
Number of SCCs: 0, DPs: 0