CO2 furnace begins with load area. At load area you fill cars with things you want to liquidize and vaporize.
From load area you push the cars into Hall. In hall you clean air from oxygen. Air can be cleaned from oxygen with fire.
From Hall you take the loaded car into actual CO2 furnace. You warm CO2 furnace with electric resistor.
In furnace you collect liquids. You lead gases through cooler into gas distiller.

Furnace needs always a unit for the creation of oxygen free air.

When you play with metals you need electric resistor. Metals melting and vaporizing temperatures are so high.
Since metal furnace needs lots of electric energy, big furnace needs electric power production system.
When you use fire / combustion engine for creating the energy, you required CO2 from the power system.

With wood, food and others you can use copper heart, which is warmed with fire / electricity.

In the picture there is diagram for process, with what you can extract oil from coal without chemical catalysts.

When you warm the coal in CO₂ furnace, with electric resistors, you can raise the heat as high as you wish.
The actual fuel-coal in the furnace does not set into fire without oxygen.
After you have vaporized CxHx from plant coal, you lead the gas into cooler.
In cooler you lower the gases temperature below 200C. 

From the cooler you can lead the gas into common distilling tower ... with standard 0.2 % fee from the distilled products.

Required temperature in furnace can raise to over 2 000 C.
Temperature is dependent on the material into which CxHx is bound to.

Production cost of Coal-Oil

For 1 kg you need around 1 kN power + leaks. For 2 tons you need 2 - 20 MN.

10 cents / kWh converts to 0,00278 cents / second. When so, the heating cost is around 0.02 cents for 7 barrels.
If you need 2 tons commercial $50 coal for one ton pure coal, 7 barrels costs around $100. Which goes to $13 barrel.

For 81 million barrel daily production, you need 23 142 857 tons coal in 24 hours.

With 10 MN per 2 tons, you need 4 821 GW plant power.
In yearly level this goes to 1 800 TWh production.  Half from EUs / USAs current power production capacity.
When one coal train carries 100 000 tons coal, you need 230 train loads per day.

World's coal reserves are big, but limited. Oil from coal is temporal, short term solution. Not very easy to get the required R&D licenses.

The earlier $13 price can never come true in wide scaled conversion ( without sugar oil as primary source ). $13 is possible in small scaled conversion.
If you have coal, but not oil on your soil, oil from coal is essential in wars and war time scenarios.