the smoothing or the halving tamponade or both occurs.
sent1: if that the irrigation does not occur hold then both the caecilian and the derailing occurs. sent2: that the blistering goral happens and the tacticalness happens yields that the caecilianness does not occur. sent3: the irrigation does not occur. sent4: if the fact that not the functioning spackle but the reveille happens is wrong the halving tamponade happens. sent5: both the dating and the tacticalness occurs. sent6: that not the functioning spackle but the reveille occurs is not correct if the blistering goral does not occur.
sent5 -> int1: the tacticalness happens.; void -> assump1: Let's assume that that the blistering goral happens is not incorrect.; int1 & assump1 -> int2: that the blistering goral occurs and the tacticalness happens is not false.; int2 & sent2 -> int3: the caecilian does not occur.; sent1 & sent3 -> int4: the caecilianness happens and the derailing happens.; int4 -> int5: the caecilian happens.; int3 & int5 -> int6: this is contradiction.; [assump1] & int6 -> int7: the blistering goral does not occur.; int7 & sent6 -> int8: that the functioning spackle does not occur but the reveille happens is not correct.; int8 & sent4 -> int9: the halving tamponade occurs.; int9 -> hypothesis;
$hypothesis$ = the smoothing or the halving tamponade or both occurs. ; $context$ = sent1: if that the irrigation does not occur hold then both the caecilian and the derailing occurs. sent2: that the blistering goral happens and the tacticalness happens yields that the caecilianness does not occur. sent3: the irrigation does not occur. sent4: if the fact that not the functioning spackle but the reveille happens is wrong the halving tamponade happens. sent5: both the dating and the tacticalness occurs. sent6: that not the functioning spackle but the reveille occurs is not correct if the blistering goral does not occur. ; $proof$ = 
sent5 -> int1: the tacticalness happens.; void -> assump1: Let's assume that that the blistering goral happens is not incorrect.; int1 & assump1 -> int2: that the blistering goral occurs and the tacticalness happens is not false.; int2 & sent2 -> int3: the caecilian does not occur.; sent1 & sent3 -> int4: the caecilianness happens and the derailing happens.; int4 -> int5: the caecilian happens.; int3 & int5 -> int6: this is contradiction.; [assump1] & int6 -> int7: the blistering goral does not occur.; int7 & sent6 -> int8: that the functioning spackle does not occur but the reveille happens is not correct.; int8 & sent4 -> int9: the halving tamponade occurs.; int9 -> hypothesis; __PROVED__