Premise: "A black dog looks up with his head on a blue carpeted step."\nHypothesis: "A dog looks up with his head on a carpeted step."\nDo we know that the hypothesis entailed by the premise?
Let’s work this out in a step by step way to be sure we have the right answer.
yes
A black dog looks up with his head includes a dog looks up with his head on a (blue carpeted) step.

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The final answer: yes