the astrogator does not gate astrogator.
sent1: if a Spartan is a Eusebius then the fact that it does not gate astrogator is true. sent2: if there exists something such that it does not prime peek then the astrogator is a Eusebius. sent3: the astrogator does gallivant and is a Spartan. sent4: the astrogator is a Eusebius if there exists something such that the fact that it primes peek and it is a zap is wrong. sent5: something gallivants and it does gate astrogator. sent6: there is something such that the fact that it primes peek and does zap is not true.
sent3 -> int1: the astrogator is a Spartan.; sent6 & sent4 -> int2: the astrogator is a Eusebius.; int1 & int2 -> int3: the astrogator is a Spartan and is a Eusebius.; sent1 -> int4: the astrogator does not gate astrogator if it is Spartan and it is a Eusebius.; int3 & int4 -> hypothesis;
$hypothesis$ = the astrogator does not gate astrogator. ; $context$ = sent1: if a Spartan is a Eusebius then the fact that it does not gate astrogator is true. sent2: if there exists something such that it does not prime peek then the astrogator is a Eusebius. sent3: the astrogator does gallivant and is a Spartan. sent4: the astrogator is a Eusebius if there exists something such that the fact that it primes peek and it is a zap is wrong. sent5: something gallivants and it does gate astrogator. sent6: there is something such that the fact that it primes peek and does zap is not true. ; $proof$ = 
sent3 -> int1: the astrogator is a Spartan.; sent6 & sent4 -> int2: the astrogator is a Eusebius.; int1 & int2 -> int3: the astrogator is a Spartan and is a Eusebius.; sent1 -> int4: the astrogator does not gate astrogator if it is Spartan and it is a Eusebius.; int3 & int4 -> hypothesis; __PROVED__