Should the p-value given with a paired t-test always be lower than the signrank?

Usually, the ttest p-value is smaller than the signrank p-value, but it’s easy to see that this is not always true. Here is an example:

 . list
   
      +--------+
      |      x |
      |--------|
   1. |      1 |
   2. |      2 |
   3. |      3 |
   4. |      4 |
   5. |      5 |
      |--------|
   6. |      6 |
   7. |      7 |
   8. |      8 |
   9. |  10000 |
  10. | -10036 |
      +--------+


 . ttest x=0

 One-sample t test
 ------------------------------------------------------------------------------
 Variable |     Obs        Mean    Std. Err.   Std. Dev.   [95% Conf. Interval]
 ---------+--------------------------------------------------------------------
        x |      10           0    1493.398    4722.541   -3378.302    3378.302
 ------------------------------------------------------------------------------
     mean = mean(x)                                                t =   0.0000
 Ho: mean = 0                                     degrees of freedom =        9

     Ha: mean < 0                 Ha: mean != 0                 Ha: mean > 0
  Pr(T < t) = 0.5000         Pr(|T| > |t|) = 1.0000          Pr(T > t) = 0.5000

 
 . signrank x = 0
 
 Wilcoxon signed-rank test
 
     sign |      obs   sum ranks    expected
 ---------+---------------------------------
 positive |        9          45        27.5
 negative |        1          10        27.5
     zero |        0           0           0
 ---------+---------------------------------
      all |       10          55          55
 
 unadjusted variance       96.25
 adjustment for ties        0.00
 adjustment for zeros       0.00
                      ----------
 adjusted variance         96.25
 
 Ho: x = 0
              z =   1.784
  Prob > |z| =   0.0745