Is it possible to force STL set to reevaluate predicate?

Consider the following data structures and code.

struct Sentence {
    std::string words;
    int frequency;
    Sentence(std::string words, int frequency) : words(words), frequency(frequency) {}
};
struct SentencePCompare {
    bool operator() (const Sentence* lhs, const Sentence* rhs) const {
        if (lhs->frequency != rhs->frequency) {
            return lhs->frequency > rhs->frequency;
        }
        return lhs->words.compare(rhs->words);
    }
};
std::set<Sentence*, SentencePCompare> sentencesByFrequency;

int main(){
    Sentence* foo = new Sentence("foo", 1);
    Sentence* bar = new Sentence("bar", 2);
    sentencesByFrequency.insert(foo);
    sentencesByFrequency.insert(bar);
    for (Sentence* sp : sentencesByFrequency) {
        std::cout << sp->words << std::endl;
    }
    foo->frequency = 5;
    for (Sentence* sp : sentencesByFrequency) {
        std::cout << sp->words << std::endl;
    }
}

The output of the above code is the following.

bar
foo
bar
foo

As we might expect, when an object pointed to by the pointer in the set is updated, the set does not automatically re-evaluate the predicate, even though the predicate orders the pointers based on the objects they point at.

Is there a way to force the std::set to re-evaluate the predicates, so that the order is correct again?