there exists something such that if it is a refrigerator then that it either is not purposeless or does granulate or both is not true.
sent1: the fact that something is not purposeless and/or it granulates is not true if it is a kind of a refrigerator. sent2: if something is a hoatzin then that it is not a psychosurgery or golfs or both does not hold. sent3: the fact that the leveler is a refrigerator or it is a ward-heeler or both is incorrect if the fact that it is impersonal hold.
sent1 -> int1: that the leveler is not purposeless and/or it granulates is wrong if it is a refrigerator.; int1 -> hypothesis;
there is something such that if it is a kind of a hoatzin then the fact that it is not a kind of a psychosurgery and/or golfs does not hold.
sent2 -> int2: if the fact that the baluster is a hoatzin is right the fact that it is not a kind of a psychosurgery or it does golf or both does not hold.; int2 -> hypothesis;
$hypothesis$ = there exists something such that if it is a refrigerator then that it either is not purposeless or does granulate or both is not true. ; $context$ = sent1: the fact that something is not purposeless and/or it granulates is not true if it is a kind of a refrigerator. sent2: if something is a hoatzin then that it is not a psychosurgery or golfs or both does not hold. sent3: the fact that the leveler is a refrigerator or it is a ward-heeler or both is incorrect if the fact that it is impersonal hold. ; $proof$ = 
sent1 -> int1: that the leveler is not purposeless and/or it granulates is wrong if it is a refrigerator.; int1 -> hypothesis; __PROVED__