MAYBE
MAYBE
TRS:
 {
                           cons(X1, X2) -> n__cons(X1, X2),
                                from(X) -> cons(X, n__from(s(X))),
                                from(X) -> n__from(X),
  2ndspos(s(N), cons(X, n__cons(Y, Z))) ->
  rcons(posrecip(activate(Y)), 2ndsneg(N, activate(Z))),
                        2ndspos(0(), Z) -> rnil(),
                            activate(X) -> X,
                   activate(n__from(X)) -> from(X),
              activate(n__cons(X1, X2)) -> cons(X1, X2),
  2ndsneg(s(N), cons(X, n__cons(Y, Z))) ->
  rcons(negrecip(activate(Y)), 2ndspos(N, activate(Z))),
                        2ndsneg(0(), Z) -> rnil(),
                                  pi(X) -> 2ndspos(X, from(0())),
                          plus(s(X), Y) -> s(plus(X, Y)),
                           plus(0(), Y) -> Y,
                         times(s(X), Y) -> plus(Y, times(X, Y)),
                          times(0(), Y) -> 0(),
                              square(X) -> times(X, X)
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                             cons(X1, X2) -> n__cons(X1, X2),
                                  from(X) -> cons(X, n__from(s(X))),
                                  from(X) -> n__from(X),
    2ndspos(s(N), cons(X, n__cons(Y, Z))) ->
    rcons(posrecip(activate(Y)), 2ndsneg(N, activate(Z))),
                          2ndspos(0(), Z) -> rnil(),
                              activate(X) -> X,
                     activate(n__from(X)) -> from(X),
                activate(n__cons(X1, X2)) -> cons(X1, X2),
    2ndsneg(s(N), cons(X, n__cons(Y, Z))) ->
    rcons(negrecip(activate(Y)), 2ndspos(N, activate(Z))),
                          2ndsneg(0(), Z) -> rnil(),
                                    pi(X) -> 2ndspos(X, from(0())),
                            plus(s(X), Y) -> s(plus(X, Y)),
                             plus(0(), Y) -> Y,
                           times(s(X), Y) -> plus(Y, times(X, Y)),
                            times(0(), Y) -> 0(),
                                square(X) -> times(X, X)
   }
  Fail