MAYBE
MAYBE
TRS:
 {
                              from(X) -> cons(X, n__from(s(X))),
                              from(X) -> n__from(X),
            2ndspos(s(N), cons(X, Z)) -> 2ndspos(s(N), cons2(X, activate(Z))),
  2ndspos(s(N), cons2(X, cons(Y, Z))) ->
  rcons(posrecip(Y), 2ndsneg(N, activate(Z))),
                      2ndspos(0(), Z) -> rnil(),
                          activate(X) -> X,
                 activate(n__from(X)) -> from(X),
            2ndsneg(s(N), cons(X, Z)) -> 2ndsneg(s(N), cons2(X, activate(Z))),
  2ndsneg(s(N), cons2(X, cons(Y, Z))) ->
  rcons(negrecip(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:
   {
                                from(X) -> cons(X, n__from(s(X))),
                                from(X) -> n__from(X),
              2ndspos(s(N), cons(X, Z)) ->
    2ndspos(s(N), cons2(X, activate(Z))),
    2ndspos(s(N), cons2(X, cons(Y, Z))) ->
    rcons(posrecip(Y), 2ndsneg(N, activate(Z))),
                        2ndspos(0(), Z) -> rnil(),
                            activate(X) -> X,
                   activate(n__from(X)) -> from(X),
              2ndsneg(s(N), cons(X, Z)) ->
    2ndsneg(s(N), cons2(X, activate(Z))),
    2ndsneg(s(N), cons2(X, cons(Y, Z))) ->
    rcons(negrecip(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