MAYBE
MAYBE
TRS:
 {
         .(x, 1()) -> x,
        .(x, i(x)) -> 1(),
  .(y, .(i(y), z)) -> z,
     .(.(x, y), z) -> .(x, .(y, z)),
         .(1(), x) -> x,
        .(i(x), x) -> 1(),
  .(i(y), .(y, z)) -> z,
        i(.(x, y)) -> .(i(y), i(x)),
            i(1()) -> 1(),
           i(i(x)) -> x
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
           .(x, 1()) -> x,
          .(x, i(x)) -> 1(),
    .(y, .(i(y), z)) -> z,
       .(.(x, y), z) -> .(x, .(y, z)),
           .(1(), x) -> x,
          .(i(x), x) -> 1(),
    .(i(y), .(y, z)) -> z,
          i(.(x, y)) -> .(i(y), i(x)),
              i(1()) -> 1(),
             i(i(x)) -> x
   }
  Fail