MAYBE
MAYBE
TRS:
 {
              gen(x) -> if1(le(x, 10()), x),
             table() -> gen(s(0())),
     if1(false(), x) -> nil(),
      if1(true(), x) -> if2(x, x),
      le(s(x), s(y)) -> le(x, y),
       le(s(x), 0()) -> false(),
          le(0(), y) -> true(),
                10() -> s(s(s(s(s(s(s(s(s(s(0())))))))))),
           if2(x, y) -> if3(le(y, 10()), x, y),
  if3(false(), x, y) -> gen(s(x)),
   if3(true(), x, y) -> cons(entry(x, y, times(x, y)), if2(x, s(y))),
      times(s(x), y) -> plus(y, times(x, y)),
       times(0(), y) -> 0(),
       plus(s(x), y) -> s(plus(x, y)),
        plus(0(), y) -> y
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                gen(x) -> if1(le(x, 10()), x),
               table() -> gen(s(0())),
       if1(false(), x) -> nil(),
        if1(true(), x) -> if2(x, x),
        le(s(x), s(y)) -> le(x, y),
         le(s(x), 0()) -> false(),
            le(0(), y) -> true(),
                  10() -> s(s(s(s(s(s(s(s(s(s(0())))))))))),
             if2(x, y) -> if3(le(y, 10()), x, y),
    if3(false(), x, y) -> gen(s(x)),
     if3(true(), x, y) -> cons(entry(x, y, times(x, y)), if2(x, s(y))),
        times(s(x), y) -> plus(y, times(x, y)),
         times(0(), y) -> 0(),
         plus(s(x), y) -> s(plus(x, y)),
          plus(0(), y) -> y
   }
  Fail