Гарантия не предоставляется в случае ущерба возникшего не по вине Продавца.

[Gr. Sitnikov]

См. в теме

[Little Mo]

Если желаете близко к тексту, то получается корявенько:

Warranty shall not be applicable to damage caused by any party other than the Seller.

Any damage resulting from actions by any party other than the Seller shall not be covered by the warranty.

Warranty shall not apply in case of damage caused by anyone other than the Seller.

[Miff]

The Warranty shall not cover damage incurred due to falt other then the Seller's.

[Wallflower]

Может, стоит начать с The Seller shall provide no guarantee or warrantee...

[суслик]

IMHO:

The warranty shall not be provided in case damage arises out of any reasons not attributable to the Seller/for which the Seller is not liable/cannot be hold liable

[SH2]

А разве такие фразы не начинают с Warranty is void when... ?

[Wallflower]

А еще можно (я все пытаюсь избежать пассив :-): The warranty shall not apply to...