/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: rev(nil()) -> nil()
    2: rev(cons(x,l)) -> cons(rev1(x,l),rev2(x,l))
    3: rev1(0(),nil()) -> 0()
    4: rev1(s(x),nil()) -> s(x)
    5: rev1(x,cons(y,l)) -> rev1(y,l)
    6: rev2(x,nil()) -> nil()
    7: rev2(x,cons(y,l)) -> rev(cons(x,rev2(y,l)))
Number of strict rules: 7
Direct poly ... failed.
Freezing rev
1: rev❆1_nil() -> nil()
2: rev❆1_cons(x,l) -> cons(rev1(x,l),rev2(x,l))
3: rev1(0(),nil()) -> 0()
4: rev1(s(x),nil()) -> s(x)
5: rev1(x,cons(y,l)) -> rev1(y,l)
6: rev2(x,nil()) -> nil()
7: rev2(x,cons(y,l)) -> rev❆1_cons(x,rev2(y,l))
8: rev(cons(_1,_2)) ->= rev❆1_cons(_1,_2)
9: rev(nil()) ->= rev❆1_nil()
Number of strict rules: 7
Direct poly ... failed.
Dependency Pairs:
   #1: #rev❆1_cons(x,l) -> #rev1(x,l)
   #2: #rev❆1_cons(x,l) -> #rev2(x,l)
   #3: #rev(nil()) ->? #rev❆1_nil()
   #4: #rev2(x,cons(y,l)) -> #rev❆1_cons(x,rev2(y,l))
   #5: #rev2(x,cons(y,l)) -> #rev2(y,l)
   #6: #rev1(x,cons(y,l)) -> #rev1(y,l)
   #7: #rev(cons(_1,_2)) ->? #rev❆1_cons(_1,_2)
Number of SCCs: 2, DPs: 4
	SCC { #6 }
Sum... succeeded.
  #rev(x1)		w: (0)
  s(x1)		w: (0)
  rev1(x1,x2)		w: (0)
  rev❆1_nil()		w: (0)
  #rev1(x1,x2)		w: (x2)
  #rev2(x1,x2)		w: (0)
  0()		w: (0)
  rev❆1_cons(x1,x2)		w: (0)
  nil()		w: (0)
  rev(x1)		w: (0)
  cons(x1,x2)		w: (1 + x2)
  #rev❆1_cons(x1,x2)		w: (0)
  rev2(x1,x2)		w: (0)
  #rev❆1_nil()		w: (0)
    USABLE RULES: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 3
	SCC { #2 #4 #5 }
Sum... succeeded.
  #rev(x1)		w: (0)
  s(x1)		w: (3 + x1)
  rev1(x1,x2)		w: (1 + x2)
  rev❆1_nil()		w: (0)
  #rev1(x1,x2)		w: (0)
  #rev2(x1,x2)		w: (7719 + x2)
  0()		w: (3)
  rev❆1_cons(x1,x2)		w: (2 + x2)
  nil()		w: (1)
  rev(x1)		w: (0)
  cons(x1,x2)		w: (2 + x2)
  #rev❆1_cons(x1,x2)		w: (7720 + x2)
  rev2(x1,x2)		w: (x2)
  #rev❆1_nil()		w: (0)
    USABLE RULES: { 2 6 7 }
    Removed DPs: #2 #4 #5
Number of SCCs: 0, DPs: 0