In cases where a speaker intends an audience to believe a conclusion on the basis of evidence rather than recognition of speaker intention, the mechanism Grice posits is bypassed.
However, even if [G] can be given a fairly plausible motivation, and fits many cases rather well, it is also open to some convincing counterexamples. Three such types of cases are: (i) cases in which the speaker means p by an utterance despite knowing that the audience already believes p, as in cases of reminding or confession; (ii) cases in which a speaker means p by an utterance, such as the conclusion of an argument, which the speaker intends an audience to believe on the basis of evidence ra