the crediting does not occur or the luau does not occur or both if that the fix occurs is not incorrect.
sent1: the fix yields that either the credits occurs or the luau does not occur or both. sent2: the steeling Vatican happens and the condensate happens. sent3: the crediting does not occur if the steeling Vatican happens and the fixing occurs.
sent2 -> int1: the steeling Vatican happens.; void -> assump1: Let's assume that the fixing occurs.; int1 & assump1 -> int2: the steeling Vatican and the fix occurs.; sent3 & int2 -> int3: the crediting does not occur.; int3 -> int4: either the credits does not occur or the luau does not occur or both.; [assump1] & int4 -> hypothesis;
$hypothesis$ = the crediting does not occur or the luau does not occur or both if that the fix occurs is not incorrect. ; $context$ = sent1: the fix yields that either the credits occurs or the luau does not occur or both. sent2: the steeling Vatican happens and the condensate happens. sent3: the crediting does not occur if the steeling Vatican happens and the fixing occurs. ; $proof$ = 
sent2 -> int1: the steeling Vatican happens.; void -> assump1: Let's assume that the fixing occurs.; int1 & assump1 -> int2: the steeling Vatican and the fix occurs.; sent3 & int2 -> int3: the crediting does not occur.; int3 -> int4: either the credits does not occur or the luau does not occur or both.; [assump1] & int4 -> hypothesis; __PROVED__