the Portugueseness occurs if the pedagogicalness occurs.
sent1: the fact that the hydrodynamicness occurs is not false if the barographicness occurs. sent2: the jumping Tuvalu triggers that the jumping wisent occurs. sent3: if the deferral happens the reprisal occurs. sent4: the geothermalness happens. sent5: that the cytophotometry happens is correct. sent6: the providing cope happens. sent7: the piping Ceryle yields that the Browning happens. sent8: the barographicness happens if the pedagogicalness occurs. sent9: the Portuguese occurs if the hydrodynamicness occurs. sent10: the piping thought-image occurs.
void -> assump1: Let's assume that the pedagogicalness happens.; sent8 & assump1 -> int1: the barographicness happens.; int1 & sent1 -> int2: the hydrodynamicness occurs.; int2 & sent9 -> int3: the Portugueseness happens.; [assump1] & int3 -> hypothesis;
$hypothesis$ = the Portugueseness occurs if the pedagogicalness occurs. ; $context$ = sent1: the fact that the hydrodynamicness occurs is not false if the barographicness occurs. sent2: the jumping Tuvalu triggers that the jumping wisent occurs. sent3: if the deferral happens the reprisal occurs. sent4: the geothermalness happens. sent5: that the cytophotometry happens is correct. sent6: the providing cope happens. sent7: the piping Ceryle yields that the Browning happens. sent8: the barographicness happens if the pedagogicalness occurs. sent9: the Portuguese occurs if the hydrodynamicness occurs. sent10: the piping thought-image occurs. ; $proof$ = 
void -> assump1: Let's assume that the pedagogicalness happens.; sent8 & assump1 -> int1: the barographicness happens.; int1 & sent1 -> int2: the hydrodynamicness occurs.; int2 & sent9 -> int3: the Portugueseness happens.; [assump1] & int3 -> hypothesis; __PROVED__