When the engine turns over it's called "cranking" because the crank inside the engine is turning around.
After successfully cranking the bus then "starts".
So, you bus is "cranking" but not "starting".
The bus brand (International) and year (2004) tell us little. We need to know the engine brand (cummings, international, etc.) and the transmission (probably an Allison).
Does the transmission shifter have a "T" shaped handle or electronic push buttons?
Per the "wire" you cut...ummmm, yeah, splice it back together. NEVER cut a wire without knowing what it does, especially on a school bus. School buses have all sorts of safety tricks that will cause an engine to not crank, or to crank but not start.
Finally, just because a charger says a battery is charging, does not mean it's holding a charge. Your battery should be at at least 12.7v up to say 13.7 (fully charged) to properly crank the engine.
I strongly suggest you do some education on how a diesel engine operates and read on the skoolie.net forums about "no crank" situations.
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Steve
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