Here's what rhymes with irrefragabile.
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couple cuddle cudgel subtle shuttle muddle puddle suppl supple huddle scuttle tuple rappel uncouple fuddle rebuttal thermocouple decouple befuddle oversubtle caecal guzzle gunnel gumball muscle humble tunnel puzzle bustle funnel muzzle shovel tumble buckle chuckle crumble jumble rumble rustle shuffle tional grumble hovel hustle knuckle muffle mussel ruffle scuffle subtile fumble juggle mumble suckle tussle bumble runnel nuzzle pummel duckbill tamale tousle tubful bundle jungle fungal autumnal colourful crustal ductile stumble ductal smuggle phrasal pustule crumple reshuffle snaffle snuggle truffle bungle truckle lungful rumple snuffle unbuckle jugful tumbrel mugful kerfuffle cupsful struggle frontal nuptial conformal lustful trundle nonvocal pinocle triumphal bestowal honeysuckle peduncle carbuncle trustful prenuptial heptagonal prefrontal subcortical suboptimal duodecimal granduncle disgruntle antifungal distrustful mistrustful