irrefutable
Impossible to deny or prove wrong because it is clearly true.
Irrefutable means impossible to deny or disprove because the evidence is so strong and clear. When something is irrefutable, no reasonable person can argue against it.
If you claim you finished your homework and can show the completed pages in your backpack, that's irrefutable proof. If a security camera catches someone taking cookies from the jar, that's irrefutable evidence. When scientists present irrefutable data from thousands of experiments, they're showing results so solid that nobody can honestly dispute them.
The opposite would be a shaky claim with weak evidence that people can easily challenge or tear apart. Irrefutable facts stand firm no matter how hard someone tries to knock them down.
You might hear lawyers talk about irrefutable testimony or historians refer to irrefutable records. In detective stories, the moment when the detective presents irrefutable proof of who committed the crime is often the most satisfying part, because at that point, even the culprit can't argue their way out.