Predicate of a sentence

Dear fellows.

I have recently seen a few explanations about the Predicate of a sentence; most explanations consider it to be the completer of the subject, or every thing that comes after the subject; after studying and gathering some information about this topic, I discovered that the predicate is the Verb performed by the subject; most content that comes after the verb will likely modify the verb: objects or complements, prepositional phrase acting adverbialy, modifiers... So, according to it, I reached a final conclusion: A predicate is not only the verb, but all objects/modifiers/complements relating to the verb, therefore:

I want to do it in the evening when the sun rises

want to do it in the evening when the sun rises is the predicate of I, because:

• want - main verb;
• to do it - to-infinitive complement clause which belongs to the verb;
• in the evening - prepositional phrase modifying the to-infinitive clause which belongs to the main verb want;
• when the sun rises - finite adverbial clause, modifying the to-infinitive complement clause which belongs to the main verb want;

So, it is like a string, and every part refers back to the main verb which is the predicate of the subject: I.

Does this interpretation sound correct?