Premise: If this equipment works properly I should be able to pick up every single speck.

Hypothesis: If this garbage disposal is broken, we will be mopping up a lot of gunk under the sink.
Relation: contradiction

Hypothesis: If this works, I hope to pick up every speck.
Relation: entailment

Hypothesis: If this vacuum cleaner works right, I should be able to clean up every bit of dirt that your dog tracked in.
Relation: neutral