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CEPSA with Scuderia Toro Rosso in 2011-2015.
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PDVSA with Williams F1 in 2011-2013.
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Petrobras with McLaren in 2018 only.
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PDVSA with Lotus in 2014-2015.
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Pertamina with Manor Racing in 2016.
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Repsol YPF with Arrows in 1999-2000.
Any additions?
Here's the reasons why oil companies not electing supplying fuels and lubricants for F1 teams as i mentioned above because of funding either driver's personal sponsor. Example: Toro Rosso partnered with CEPSA in 2011-2015 despite the team using Shell fuels in 2011-2013 later Total fuels in 2014-2015 because of Toro Rosso's financial rebuilding progress after buying Minardi in late-2005.
Repsol sponsored Arrows F1 in 1999-2000 despite using Elf fuels because of Pedro de La Rosa's personal sponsors AFAIK.