the stridulation occurs and the setup does not occur.
sent1: the tunneling siphonophore does not occur. sent2: the fact that the mandibulofacialness occurs but the audio-lingualness does not occur is not incorrect. sent3: if the mandibulofacialness occurs and the audio-lingualness does not occur then the setup does not occur. sent4: that the fact that the summating happens and/or the tunneling siphonophore does not occur is true is false if the stridulation does not occur. sent5: that the freshening happens and the stridulation occurs is triggered by that the mandibulofacialness does not occur.
void -> assump1: Let's assume that the stridulation does not occur.; sent4 & assump1 -> int1: the fact that either the summating occurs or the tunneling siphonophore does not occur or both does not hold.; sent1 -> int2: the summating happens and/or the tunneling siphonophore does not occur.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> int4: the stridulation happens.; sent3 & sent2 -> int5: that the setup does not occur is correct.; int4 & int5 -> hypothesis;
the freshening but not the lunging happens.
$hypothesis$ = the stridulation occurs and the setup does not occur. ; $context$ = sent1: the tunneling siphonophore does not occur. sent2: the fact that the mandibulofacialness occurs but the audio-lingualness does not occur is not incorrect. sent3: if the mandibulofacialness occurs and the audio-lingualness does not occur then the setup does not occur. sent4: that the fact that the summating happens and/or the tunneling siphonophore does not occur is true is false if the stridulation does not occur. sent5: that the freshening happens and the stridulation occurs is triggered by that the mandibulofacialness does not occur. ; $proof$ = 
void -> assump1: Let's assume that the stridulation does not occur.; sent4 & assump1 -> int1: the fact that either the summating occurs or the tunneling siphonophore does not occur or both does not hold.; sent1 -> int2: the summating happens and/or the tunneling siphonophore does not occur.; int1 & int2 -> int3: this is contradiction.; [assump1] & int3 -> int4: the stridulation happens.; sent3 & sent2 -> int5: that the setup does not occur is correct.; int4 & int5 -> hypothesis; __PROVED__