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f 1 She stopped looking for a way out.

2 She stopped to look for a way out.



my analying to these sentences is like this:

sentence f1 : "She" pronoun functioning as subject
"stopped" is main verb
"looking" i don't know what is it ,it could be gerund,but can we call it second main verb?or adjective?
"for a way out" is prepositional phrase,consist of the preposition "for" and the noun phrase "a way". "out" is an adverb.

the first sentence means that she gave up finding an exit.
the second sentence means that she stopped walking to find where is the exit.

is my analysing correct? and what is the syntatic analyse of the second sentence?
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1 She stopped looking for a way out.

She - pronoun, subject
Stopped - main verb, simple past
Looking for a way out. - gerund phrase, direct object of "stopped", answers the question "what did she stop?"

looking for - gerund form pf phrasal verb "look for"
a way out - direct object of gerund.
2 She stopped to look for a way out.

She - pronoun, subject
Stopped - main verb, simple past
to look for a way out. - infinitive phrase, following the catenative verb "stopped"
I consider this an adverbial phrase, it answers the question "why?"