noun
inference
IN-fer-uns/ˈɪnfərəns/
A conclusion drawn from evidence and reasoning.
She makes an inference from the matching boot tread and muddy footprint.

Etymology
“Carrying in” became an image for bringing in a conclusion through reasoning. Inference first named that act, then also the conclusion produced by it.
In context
that, he's also saying that the positive evidence that he had sent off, he heard nothing back. So there's a good chance that this was investigated, which is a reasonable inference and there just wasn't anything.
More examples
- The evidence supported a different inference.
- He drew an unwarranted inference from her silence.
- The conclusion was an inference rather than a directly observed fact.
Forms
inference · inferences
infer verb — draw a conclusion from evidence