MAYBE
MAYBE
TRS:
 {
                    mark(true()) -> active(true()),
                mark(eq(X1, X2)) -> active(eq(X1, X2)),
                       mark(0()) -> active(0()),
                      mark(s(X)) -> active(s(X)),
                   mark(false()) -> active(false()),
              mark(cons(X1, X2)) -> active(cons(X1, X2)),
                    mark(inf(X)) -> active(inf(mark(X))),
                     mark(nil()) -> active(nil()),
              mark(take(X1, X2)) -> active(take(mark(X1), mark(X2))),
                 mark(length(X)) -> active(length(mark(X))),
                active(eq(X, Y)) -> mark(false()),
            active(eq(0(), 0())) -> mark(true()),
          active(eq(s(X), s(Y))) -> mark(eq(X, Y)),
                  active(inf(X)) -> mark(cons(X, inf(s(X)))),
            active(take(0(), X)) -> mark(nil()),
  active(take(s(X), cons(Y, L))) -> mark(cons(Y, take(X, L))),
      active(length(cons(X, L))) -> mark(s(length(L))),
           active(length(nil())) -> mark(0()),
                eq(X1, mark(X2)) -> eq(X1, X2),
              eq(X1, active(X2)) -> eq(X1, X2),
                eq(mark(X1), X2) -> eq(X1, X2),
              eq(active(X1), X2) -> eq(X1, X2),
                      s(mark(X)) -> s(X),
                    s(active(X)) -> s(X),
              cons(X1, mark(X2)) -> cons(X1, X2),
            cons(X1, active(X2)) -> cons(X1, X2),
              cons(mark(X1), X2) -> cons(X1, X2),
            cons(active(X1), X2) -> cons(X1, X2),
                    inf(mark(X)) -> inf(X),
                  inf(active(X)) -> inf(X),
              take(X1, mark(X2)) -> take(X1, X2),
            take(X1, active(X2)) -> take(X1, X2),
              take(mark(X1), X2) -> take(X1, X2),
            take(active(X1), X2) -> take(X1, X2),
                 length(mark(X)) -> length(X),
               length(active(X)) -> length(X)
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                      mark(true()) -> active(true()),
                  mark(eq(X1, X2)) -> active(eq(X1, X2)),
                         mark(0()) -> active(0()),
                        mark(s(X)) -> active(s(X)),
                     mark(false()) -> active(false()),
                mark(cons(X1, X2)) -> active(cons(X1, X2)),
                      mark(inf(X)) -> active(inf(mark(X))),
                       mark(nil()) -> active(nil()),
                mark(take(X1, X2)) -> active(take(mark(X1), mark(X2))),
                   mark(length(X)) -> active(length(mark(X))),
                  active(eq(X, Y)) -> mark(false()),
              active(eq(0(), 0())) -> mark(true()),
            active(eq(s(X), s(Y))) -> mark(eq(X, Y)),
                    active(inf(X)) -> mark(cons(X, inf(s(X)))),
              active(take(0(), X)) -> mark(nil()),
    active(take(s(X), cons(Y, L))) -> mark(cons(Y, take(X, L))),
        active(length(cons(X, L))) -> mark(s(length(L))),
             active(length(nil())) -> mark(0()),
                  eq(X1, mark(X2)) -> eq(X1, X2),
                eq(X1, active(X2)) -> eq(X1, X2),
                  eq(mark(X1), X2) -> eq(X1, X2),
                eq(active(X1), X2) -> eq(X1, X2),
                        s(mark(X)) -> s(X),
                      s(active(X)) -> s(X),
                cons(X1, mark(X2)) -> cons(X1, X2),
              cons(X1, active(X2)) -> cons(X1, X2),
                cons(mark(X1), X2) -> cons(X1, X2),
              cons(active(X1), X2) -> cons(X1, X2),
                      inf(mark(X)) -> inf(X),
                    inf(active(X)) -> inf(X),
                take(X1, mark(X2)) -> take(X1, X2),
              take(X1, active(X2)) -> take(X1, X2),
                take(mark(X1), X2) -> take(X1, X2),
              take(active(X1), X2) -> take(X1, X2),
                   length(mark(X)) -> length(X),
                 length(active(X)) -> length(X)
   }
  Fail