the fact that the panhandle is both not a Lindsay and not indexless is false.
sent1: that the dildo is a visibility is correct. sent2: the fact that the panhandle is not a kind of a Lindsay and it is not indexless does not hold if the gouache does not paraphrase. sent3: the panhandle is a kind of a visibility. sent4: if the fact that something does not paraphrase is not false then it is temperamental and/or it is a visibility. sent5: the dildo is temperamental. sent6: that the panhandle is not a Lindsay but it is indexless is false if the gouache does not paraphrase. sent7: if the dildo is temperamental and it is a visibility the fact that the gouache is not a kind of a paraphrase is true. sent8: something is indexless if it is temperamental. sent9: the fact that the panhandle is not a Lindsay but indexless does not hold.
sent5 & sent1 -> int1: the dildo is temperamental and is a visibility.; sent7 & int1 -> int2: the gouache is not a paraphrase.; sent2 & int2 -> hypothesis;
the germ is indexless.
sent4 -> int3: if the dildo is not a paraphrase then it is temperamental and/or it is a visibility.; sent8 -> int4: if the germ is temperamental then it is indexless.;
$hypothesis$ = the fact that the panhandle is both not a Lindsay and not indexless is false. ; $context$ = sent1: that the dildo is a visibility is correct. sent2: the fact that the panhandle is not a kind of a Lindsay and it is not indexless does not hold if the gouache does not paraphrase. sent3: the panhandle is a kind of a visibility. sent4: if the fact that something does not paraphrase is not false then it is temperamental and/or it is a visibility. sent5: the dildo is temperamental. sent6: that the panhandle is not a Lindsay but it is indexless is false if the gouache does not paraphrase. sent7: if the dildo is temperamental and it is a visibility the fact that the gouache is not a kind of a paraphrase is true. sent8: something is indexless if it is temperamental. sent9: the fact that the panhandle is not a Lindsay but indexless does not hold. ; $proof$ = 
sent5 & sent1 -> int1: the dildo is temperamental and is a visibility.; sent7 & int1 -> int2: the gouache is not a paraphrase.; sent2 & int2 -> hypothesis; __PROVED__