Paint Shop Pro 5 added support for layers as well as CMYK and HSL colour modes, included JASC Animation Shop for creating animations and in fact was marketed as "Paint Shop Pro 5.0 with Animation Shop". Most newer versions are only commercially available although some have been distributed in the United Kingdom in computer magazine CDs after they became obsolete. Paint Shop was originally distributed as shareware and is still available at many download sites (4.12 being a popular version). It was released by Robert Voit in August 1990. Originally called simply Paint Shop, the first version, 1.0, was a basic picture converter between BMP, GIF and PCX formats, conceived by Robert Voit and developed by Joel DeRider. You may want to check them out as well.Paint Shop Pro 1.0 (pictured here running on Windows XP), was released in 1992 for Windows 3.1. PS - As I recall, XnView and Irfanview offer a choice of several sampling algorithms. This approach clearly is not as good as the sinc function, but is fast, gets rid of most of the Moire pattern and produces a reasonably sharp image, and, perhaps useful, allows you to stay with your usual software. I stayed in the usual gamma=2.2 space for everything, although I did use 16 bpc. Although it's better to do so, for the sake of speed of workflow, I did not transform to and then back from a gamma=1 space to down-rez. Attached is an example where I applied a Gaussian blur of about r=3 to your image, then downsized using Photoshop's ordinary bicubic algorithm, then did a final resharpen using smart sharpen. If you don't want to go outside your usual workflow, you can help matters tremendously by simply blurring the image somewhat before downsizing, and just use your usual algorithm (as long as it is not nearest neighbor -) ).
The fundamental reason your image is giving you so many problems is that the repeating pattern has strong high spatial frequency components. Specifically, some algorithms sacrifice sharpness to suppress halos and ringing (which turn into Moire on repeating patterns), whereas, for other images the opposite tradeoff is a much better choice. Unfortunately, the optimal algorithm to use depends on the image. check out how nicely the sinc function works. especially the graphics just before the bottom of the page For example, you may want to look at the following pages: If you have not delved into the subject of down-rez'ing, there is a large literature on the subject. Because of the presence of the strong repeating pattern of parallel lines, your image presents a serious challenge to any downsampling algorithm.
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