You would need to create your own CSS for the form, using CSS media queries to make the CSS responsive. For example, you can wrap your CSS for the desktop display (horizontal) so it does not affect the mobile view, but you need to discover the responsive breakpoint of your theme (change the 992px to suit). For example, like this:
@media (min-width: 992px) {
.searchandfilter[data-sf-form-id="1234"] {
display: inline-block;
vertical-align: top;
padding: 0 20px;
}
}
Where 1234 needs to be changed to match your form ID.
For more custom CSS examples, there are many snippets in the forum:
https://support.searchandfilter.com/forums/search/data+form+sf+id+searchandfilter