the bridgeableness does not occur if the reciprocating cacao does not occur.
sent1: the anaphoricness does not occur if the torchlight happens. sent2: the bridgeableness occurs if the fact that the reciprocating cacao does not occur is true. sent3: the stud and the numerating happens. sent4: the stud does not occur if the bridgeableness but not the reciprocating cacao happens.
void -> assump2: Let's assume that the fact that the bridgeableness occurs is not incorrect.; void -> assump1: Let's assume that the reciprocating cacao does not occur.; assump2 & assump1 -> int1: the bridgeableness occurs but the reciprocating cacao does not occur.; int1 & sent4 -> int2: that the stud does not occur hold.; sent3 -> int3: the stud happens.; int2 & int3 -> int4: this is contradiction.; [assump2] & int4 -> int5: the bridgeableness does not occur.; [assump1] & int5 -> hypothesis;
$hypothesis$ = the bridgeableness does not occur if the reciprocating cacao does not occur. ; $context$ = sent1: the anaphoricness does not occur if the torchlight happens. sent2: the bridgeableness occurs if the fact that the reciprocating cacao does not occur is true. sent3: the stud and the numerating happens. sent4: the stud does not occur if the bridgeableness but not the reciprocating cacao happens. ; $proof$ = 
void -> assump2: Let's assume that the fact that the bridgeableness occurs is not incorrect.; void -> assump1: Let's assume that the reciprocating cacao does not occur.; assump2 & assump1 -> int1: the bridgeableness occurs but the reciprocating cacao does not occur.; int1 & sent4 -> int2: that the stud does not occur hold.; sent3 -> int3: the stud happens.; int2 & int3 -> int4: this is contradiction.; [assump2] & int4 -> int5: the bridgeableness does not occur.; [assump1] & int5 -> hypothesis; __PROVED__