functions - Module and Local variable

Hello,

GetIntersectionPoint[p1_, p2_] := 
             Module[{pts, vecs, n, vars, distance, sol, x, y, z, t}, (


               pts = p2;
               vecs = p1 - pts;
               n = Length[pts];
               vars = Array[t, n];
               {distance, sol} = 
                Minimize[
                 Total[({x, y, z} - Transpose[pts + vecs vars])^2, 2], {x, y, z}~
                  Join~vars]



               )]

I call this function with p1 and p2 where

    p1={{100, 100, 100},{100, 0, 100},{0, 100, 100}};
    p2={{500/3, 500/3, 0},{500/3, 0, 0},{0, 500/3, 0}};

I obtain like this:

{0, {x$17013 -> 0, y$17013 -> 0, z$17013 -> 250, t$17013[1] -> 5/2, 
  t$17013[2] -> 5/2, t$17013[3] -> 5/2}}

How Can I fix the rename of the local variables ?