the index is not cortical.
sent1: the basement is not pelvic. sent2: the basement is both a biologism and not a Decalogue if it is not pelvic. sent3: the index does shun dankness. sent4: something is not a bat but cortical if it does not shun dankness. sent5: the index shuns dankness and does bat. sent6: the fact that something is not a Borodin and is a kind of an alsatian is not true if it is immiscible. sent7: something is non-cortical if it bats. sent8: if a biologism is not a Decalogue it is immiscible.
sent7 -> int1: the index is not cortical if that it is a bat is true.; sent5 -> int2: the index does bat.; int1 & int2 -> hypothesis;
the index is cortical.
sent4 -> int3: if the index does not shun dankness it is both not a bat and cortical.; sent6 -> int4: the fact that the basement is not a Borodin but it is an alsatian is false if it is immiscible.; sent8 -> int5: the basement is immiscible if it is a biologism and it is not a Decalogue.; sent2 & sent1 -> int6: the basement is a biologism but it is not a Decalogue.; int5 & int6 -> int7: the basement is not non-immiscible.; int4 & int7 -> int8: the fact that the basement is not a Borodin but it is an alsatian is not right.; int8 -> int9: there is something such that that it is not a Borodin and it is a kind of an alsatian is wrong.;
$hypothesis$ = the index is not cortical. ; $context$ = sent1: the basement is not pelvic. sent2: the basement is both a biologism and not a Decalogue if it is not pelvic. sent3: the index does shun dankness. sent4: something is not a bat but cortical if it does not shun dankness. sent5: the index shuns dankness and does bat. sent6: the fact that something is not a Borodin and is a kind of an alsatian is not true if it is immiscible. sent7: something is non-cortical if it bats. sent8: if a biologism is not a Decalogue it is immiscible. ; $proof$ = 
sent7 -> int1: the index is not cortical if that it is a bat is true.; sent5 -> int2: the index does bat.; int1 & int2 -> hypothesis; __PROVED__