that the awainess occurs and the atrialness occurs is not incorrect.
sent1: if that the unintelligibleness happens hold then the fact that the housing bibliography does not occur and the awainess occurs does not hold. sent2: the atrialness occurs. sent3: that the housing bibliography occurs is prevented by that both the caroling and the valvotomy occurs. sent4: if not the caroling but the plagiarizing happens then that the gonadotropicness does not occur is correct. sent5: the housing bibliography and the unintelligibleness occurs. sent6: the calciferousness does not occur if the drupaceousness and the Hanoverian occurs. sent7: if the caroling does not occur the fact that the awainess and the atrialness occurs is not right. sent8: the caroling and the plagiarizing happens. sent9: if the valvotomy does not occur the awainess happens. sent10: that both the unintelligibleness and the employment occurs is right if the calciferousness does not occur.
sent8 -> int1: the caroling happens.; void -> assump1: Let's assume that that the valvotomy happens is not incorrect.; int1 & assump1 -> int2: the caroling and the valvotomy happens.; int2 & sent3 -> int3: the fact that that the housing bibliography occurs is not correct hold.; sent5 -> int4: the housing bibliography happens.; int3 & int4 -> int5: this is contradiction.; [assump1] & int5 -> int6: the valvotomy does not occur.; int6 & sent9 -> int7: the awainess occurs.; int7 & sent2 -> hypothesis;
the fact that both the awainess and the atrialness occurs is not true.
$hypothesis$ = that the awainess occurs and the atrialness occurs is not incorrect. ; $context$ = sent1: if that the unintelligibleness happens hold then the fact that the housing bibliography does not occur and the awainess occurs does not hold. sent2: the atrialness occurs. sent3: that the housing bibliography occurs is prevented by that both the caroling and the valvotomy occurs. sent4: if not the caroling but the plagiarizing happens then that the gonadotropicness does not occur is correct. sent5: the housing bibliography and the unintelligibleness occurs. sent6: the calciferousness does not occur if the drupaceousness and the Hanoverian occurs. sent7: if the caroling does not occur the fact that the awainess and the atrialness occurs is not right. sent8: the caroling and the plagiarizing happens. sent9: if the valvotomy does not occur the awainess happens. sent10: that both the unintelligibleness and the employment occurs is right if the calciferousness does not occur. ; $proof$ = 
sent8 -> int1: the caroling happens.; void -> assump1: Let's assume that that the valvotomy happens is not incorrect.; int1 & assump1 -> int2: the caroling and the valvotomy happens.; int2 & sent3 -> int3: the fact that that the housing bibliography occurs is not correct hold.; sent5 -> int4: the housing bibliography happens.; int3 & int4 -> int5: this is contradiction.; [assump1] & int5 -> int6: the valvotomy does not occur.; int6 & sent9 -> int7: the awainess occurs.; int7 & sent2 -> hypothesis; __PROVED__