the fact that the billet happens but the lubrication does not occur is not wrong if the stepping does not occur.
sent1: the Eurafricanness does not occur. sent2: the fact that the lubrication but not the step happens is not right. sent3: that the stratification does not occur causes that the ceramicsness happens and the lubrication happens. sent4: that the lubrication happens and the step occurs does not hold. sent5: the exalting Spitsbergen does not occur if the billet happens and/or the stepping does not occur. sent6: the billet happens.
void -> assump2: Let's assume that the lubrication happens.; void -> assump1: Let's assume that the stepping does not occur.; assump2 & assump1 -> int1: the lubrication happens and the step does not occur.; int1 & sent2 -> int2: this is contradiction.; [assump2] & int2 -> int3: the lubrication does not occur.; int3 & sent6 -> int4: the fact that the billet occurs but the lubrication does not occur is not incorrect.; [assump1] & int4 -> hypothesis;
the ceramicsness occurs and the exalting Spitsbergen does not occur.
$hypothesis$ = the fact that the billet happens but the lubrication does not occur is not wrong if the stepping does not occur. ; $context$ = sent1: the Eurafricanness does not occur. sent2: the fact that the lubrication but not the step happens is not right. sent3: that the stratification does not occur causes that the ceramicsness happens and the lubrication happens. sent4: that the lubrication happens and the step occurs does not hold. sent5: the exalting Spitsbergen does not occur if the billet happens and/or the stepping does not occur. sent6: the billet happens. ; $proof$ = 
void -> assump2: Let's assume that the lubrication happens.; void -> assump1: Let's assume that the stepping does not occur.; assump2 & assump1 -> int1: the lubrication happens and the step does not occur.; int1 & sent2 -> int2: this is contradiction.; [assump2] & int2 -> int3: the lubrication does not occur.; int3 & sent6 -> int4: the fact that the billet occurs but the lubrication does not occur is not incorrect.; [assump1] & int4 -> hypothesis; __PROVED__