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The starter motor will look like nearly a short from its positive connection to its negative connection, because it is a large electric motor that can draw 40A or more when operated. The only time that comes into play is when the starter relay applies battery positive to it, which should run the motor. A battery terminal usually melts when it has a high resistance, either between the cable connected to it, or because of an internal crack; when that high current through the starter motor tries to pass through it, that resistance generates a lot of heat.
You could have a load on the battery outside the starter motor; for example, the starter relay could be stuck on, or a wire in the harness, on the positive side of the battery, shorted to ground, causing the battery to drain. With the battery disconnected, try measuring from the positive battery cable to ground (engine case, e.g.) when the key is off. Still, a load like that wouldn't melt the battery terminal, unless it also has a high resistance causing heat.
Do you have a service manual or wiring diagram?
You could have a load on the battery outside the starter motor; for example, the starter relay could be stuck on, or a wire in the harness, on the positive side of the battery, shorted to ground, causing the battery to drain. With the battery disconnected, try measuring from the positive battery cable to ground (engine case, e.g.) when the key is off. Still, a load like that wouldn't melt the battery terminal, unless it also has a high resistance causing heat.
Do you have a service manual or wiring diagram?