the designating does not occur.
sent1: the RF occurs. sent2: if the fact that the halfback happens and the RF does not occur is not correct then the phase-out does not occur. sent3: the non-interstellarness brings about that the designating does not occur and the subsurfaceness does not occur. sent4: the halfback happens. sent5: the non-interstellarness is brought about by that the halfback occurs and the RF happens. sent6: the assailing harmfulness does not occur and the incriminating Maalox does not occur.
sent4 & sent1 -> int1: the halfback and the RF occurs.; sent5 & int1 -> int2: the interstellarness does not occur.; sent3 & int2 -> int3: the designating does not occur and the subsurfaceness does not occur.; int3 -> hypothesis;
the phase-out does not occur and the choreographicness does not occur.
$hypothesis$ = the designating does not occur. ; $context$ = sent1: the RF occurs. sent2: if the fact that the halfback happens and the RF does not occur is not correct then the phase-out does not occur. sent3: the non-interstellarness brings about that the designating does not occur and the subsurfaceness does not occur. sent4: the halfback happens. sent5: the non-interstellarness is brought about by that the halfback occurs and the RF happens. sent6: the assailing harmfulness does not occur and the incriminating Maalox does not occur. ; $proof$ = 
sent4 & sent1 -> int1: the halfback and the RF occurs.; sent5 & int1 -> int2: the interstellarness does not occur.; sent3 & int2 -> int3: the designating does not occur and the subsurfaceness does not occur.; int3 -> hypothesis; __PROVED__