What's the difference between indomitable and inexpugnable?

Indomitable

Definition:

(a.) Not to be subdued; untamable; invincible; as, an indomitable will, courage, animal.

Example Sentences:

(1) If Deng is a 21st-century Becky Sharp, we should recall that for all her cynicism, Thackeray's heroine also possessed an indomitable spirit.
(2) He speaks admiringly of the hot streak and indomitable desire that is shared by Suárez and Sánchez.
(3) The ideal Isolde is flame-haired, fiery, indomitable yet vulnerable, stern yet tender, and a standout dramatic soprano.
(4) The state government of Haryana said it would honour the girls’ “indomitable courage” .
(5) Just as an unbeaten run stretching back to Boxing Day could forge the same sort of indomitable team spirit that Leicester’s remarkable escape from relegation last season instilled in the King Power dressing room before Claudio Ranieri even arrived.
(6) Dean Kiely [a former Charlton goalkeeper] was always an inspiration to me because he didn’t get to the Premier League until he was 29.” Elliot’s mission is to imbue his team-mates with similarly indomitable spirit.
(7) My students understand the new media reality that has scared the once-indomitable Murdoch.
(8) That's an important crack in the NRA's seemingly indomitable public stance, and a sign that even this formidable lobby group does not stand above democratic accountability.
(9) Released 25 April Rio 2 Facebook Twitter Pinterest Well, it's hardly set on location, but if anything's going to get you buzzing for a trip to Brazil, it's this indomitable trio of CGI parrots.
(10) Fuchs bristles at that suggestion and makes an interesting analogy with a French comic book series and the indomitable Gauls fending off Roman occupation to explain Leicester’s mindset.
(11) The poorer classes seem to be getting some kind of vicarious pleasure from thinking: ‘I’m facing difficulties by standing in a queue, but the rich people who acquired wealth by dubious means, all their black money is gone.’” Whether these same people feel the pain was worth it, once money starts flowing again, will decide the fate of India’s seemingly indomitable prime minister.
(12) This, and other experiences at that time, made me even more determined to continue to show practical solidarity with the Eritreans who were demonstrating the indomitable spirit, which had, for years, enabled them to fight poverty, famine, and armed Ethiopian aggression.
(13) Now, I am in my 65th year with a teenage daughter still at home, and a mother in her 90th year who has a fragile independence boosted by an indomitable spirit, living 70 miles away.
(14) This is not the first time that financial concerns have affected the Indomitable Lions’s preparations for a World Cup.
(15) But the usually indomitable businessman admits he occasionally feels overwhelmed.
(16) But it would be surprising, when they are identified, if the great writer was not to be reburied in a place of honour so that admirers of the indomitable Knight of the Sad Countenance could pay their respects.
(17) Senator Charles Schumer called the crash “a massive and heartbreaking loss for this community.” “It deeply saddens me that Rochester has now lost two of its most indomitable, industrious visionaries,” Schumer said.
(18) Shawcross, for so long a formidable centre‑back who personified Stoke’s refusal to bow to supposed superiors, has not been his indomitable self since being afflicted by back trouble last year.
(19) In the Wimbledon final, Murray had taken an early advantage and then been hauled back, but here he was indomitable, matching everything Federer could throw at him and saving six break points.
(20) But while she might seem indomitable, Guillem knows perfectly well that her body will eventually let her down, and she has enough self-awareness to predict that she will suffer miserably when it does.