  A knot K in the 3-sphere is superslice if there is a slice disk D in the
4-ball such that the double of D along K is the unknotted 2-sphere S in $S^4$.
Answering a question of Livingston-Meier, we find smoothly slice (in fact
doubly slice) knots in the 3-sphere with Alexander polynomial equal to 1 that
are not smoothly superslice.
