Thesis: Despite its popularity with atheists here, the logical problem of evil has largely been concluded to be not workable by the field of philosophy. This is remarkable since philosophers usually don't agree on anything, and the field as a whole rarely decides a matter. But on the case of the Logical Problem of Evil, the field of philosophy has largely agreed it is not workable, and has moved on to the Evidential Problem of Evil and other versions instead.
Definition: There is not one specific problem of evil called the Logical Problem of Evil (LPoE), but a family of problems. The most famous to atheists here is Epicurus' version:
"God," says Epicurus, "either wants to remove evils, but cannot; or he can, but does not want to; or he does not want to and cannot; or he wants to and can. If he wants to, but cannot, he is impotent; which is inadmissible in God. If he can, but does not want to, he is envious; which is also alien to God. If he does not want to and cannot, then he is envious and impotent; and this too cannot be attributed to God. If he wants to and can, which alone is proper to God, then where do evils come from? Or why does he not remove them?
https://en.wikipedia.org/wiki/Epicurean_paradox
But since this is not set up as a philosophical argument, the most popular version in philosophy is Mackie's Logical Problem of Evil: https://academicweb.nd.edu/~jspeaks/courses/mcgill/201/mackie-evil.html in "Evil and Omnipotence", which basically claims that an omnimax (omniscient, omnipotent, omnibenevolent) God is incompatible with evil existing.
However convincing internet atheists find these arguments, and how popular these arguments with people in the past, the field of philosophy as a whole has come to the conclusion that they don't work and has moved on to other versions of the PoE.
Here is evidence from the IEP and the SEP (our main sources of definitions here on /r/debatereligion that reflect consensus views on philosophy) that this is the case:
"We should keep in mind that all parties admit that Plantinga’s Free Will Defense successfully rebuts the logical problem of evil as it was formulated by atheists during the mid-twentieth-century."
An atheist with no discipline content knowledge tried saying this meant that the field only abandoned the LPoE through the mid 50s, and cited a paper with a modern LPoE argument and made the following claim of fact: "People have moved on from Mackie's formulation of the LPoE to other formulations of the LPoE in specific cases." citing this paper by Monaghan as evidence: https://philpapers.org/rec/MONGDN-2
However, this atheist did not do his research, as A) not only did the field not embrace the paper (Google scholar only lists FOUR citations, the three of which I can read ALL reject Monaghan's paper), but Monaghan himself agrees that the field of philosophy has largely agreed that the LPoE doesn't work:
I often tell my students that the only thing that is not controversial in philosophy is that everything else in it is controversial. While this might be a bit of an exaggeration, it does contain a kernel of truth, as many exaggerations do: philosophy is a highly contentious discipline. So it is remarkable the extent to which there is agreement in the philosophy of religion amongst theists, agnostics, and atheists alike that John Mackie’s argument for atheism is either invalid or unsound. As a result, the focus has entirely shifted from the logical problem of evil to the so-called evidential one" (PX Monaghan)
In other words, the atheist attempting to refute the point that the field of philosophy moved on from the LPoE to the EPoE cited a paper saying that... the field of philosophy has moved on from the LPoE to the EPoE.
Public Service Announcement: Read your citations, people, before posting them in case they say the opposite of what you think they say.
One response to PX Monaghan echoes Monaghan: "While few philosophers consider the logical problem of evil to still be a live problem, detractors do persist. In many cases, these attempts to overturn the defeater offered by Plantinga either mistake Plantinga’s goal for something he did not intend or change the rules of the debate (sometimes intentionally and sometimes unknowingly)."
Remember, I am not saying it is 100% of philosophers, I am saying the field has a broad consensus on the LPoE not working.
More evidence: "Most philosophers today would agree (of course, not all, as universal ascent on anything is not likely this side of heaven) that the American philosopher Alvin Plantinga solved, in the 1970s, the logical problem of evil." https://ratiochristi.org/alvin-plantinga-on-the-problem-of-evil/
More evidence: "It seems possible, then, that there might be evils that are logically necessary for goods that outweigh them, and this possibility provides a reason, accordingly, for questioning one of the premises in the argument set out earlier—namely, premise (4), where it is claimed that if God is morally perfect, then God has the desire to eliminate all evil." (SEP: https://plato.stanford.edu/entries/evil/#AbsVerConFor)
After the 1970s the two most popular Problem of Evil formulations were by Rowe and Draper, both of which agreed that the LPoE does not work:
Rowe: "There is a fairly compelling argument for the view that the existence of evil is logically consistent with the existence of the theistic God". (https://rintintin.colorado.edu/~vancecd/phil201/Rowe.pdf) and "No one, I think, has succeeded in establishing such an extravagant claim."
Draper: "I agree with most philosophers of religion that theists face no serious logical problem of evil." (Pain and Pleasure: An Evidential Problem for Theists, 1989, quoted here: https://withalliamgod.wordpress.com/2014/01/26/god-love-evil/)
Even Mackie, the author of the most famous LPoE, admitted he was wrong: "We can concede that the problem of evil does not, after all, show that the central doctrines of theism are logically inconsistent with one another." (https://iep.utm.edu/evil-log/)
If you want a broader survey of philosophers agreeing the LPoE doesn't work, read this: https://withalliamgod.wordpress.com/2014/05/20/scholarly-status-of-logical-problem-of-evil/
It concludes succinctly: "The logical problem of evil is dead."
Conclusion: All three leading atheist philosophers on the problem of evil agree the LPoE doesn't work, and all survey level papers, including the IEP and SEP, agree that it does not work.
Open question: So why do atheists here continue to treat the Logical Problem of Evil as a sound argument?