I need someone to help refute this sentence .

If Zoe and don't quarrel for a whole week, they'll go on vacation to the mountains. But they did quarrel. So they won't go on vacation.

Is this one right?

Because Zoe and did quarrel for a week,they won't be going on vacation to the mountains.

Your last sentence isn't necessarily so. They could go on vacation for less than a week. They could go on vacation separately. As well, they could go on vacation elsewhere

The better conclusion would be Because Zoe and did quarrel during that week, they probably will not go on vacation to the mountains together.

The sentence you provided is correct, and it effectively refutes the idea that Zoe and will go on vacation to the mountains. However, if you are looking for help refuting this sentence, I can provide a different approach to debunk the claim.

To refute the sentence "If Zoe and don't quarrel for a whole week, they'll go on vacation to the mountains. But they did quarrel. So, they won't go on vacation," you can focus on the logical structure of the statement and provide counterexamples that demonstrate its inaccuracy.

Firstly, you can point out that the sentence contains an "if-then" conditional statement. The condition is "If Zoe and don't quarrel for a whole week," and the consequence is "they'll go on vacation to the mountains." However, this conditional statement alone does not guarantee that the consequence will occur.

In this case, the sentence claims that Zoe and did quarrel, which contradicts the condition. Therefore, according to the sentence's own logic, the consequence of going on vacation to the mountains should not apply.

To further refute the claim, you can introduce counterexamples. For instance, you could provide examples of other couples who did not quarrel for a week but did not go on vacation. This demonstrates that quarreling or not quarreling does not necessarily determine whether someone will go on vacation. Thus, the sentence's conclusion cannot be considered valid.

In summary, to refute the sentence, you can dismantle the logical structure by pointing out the contradiction between the condition and the provided information and by introducing counterexamples that disprove the claim.