there is something such that if it does spurt alertness that it is a summer and it is not Rembrandtesque is correct.
sent1: the Hooker is a summer if it does spurt alertness. sent2: if the Hooker is cephalic then it does spurt alertness and it is a kind of a Cybele. sent3: there exists something such that if it does spurt alertness then it is a summer and Rembrandtesque. sent4: if the Hooker spurts alertness then it is a summer and is not Rembrandtesque. sent5: if the have is a kind of a bearberry then it does explain and claps sulindac. sent6: there is something such that if it spurts alertness it is a summer. sent7: something touts have and is not irreconcilable if it is fistulous.
sent4 -> hypothesis;
there is something such that if it is fistulous then it touts have and it is not irreconcilable.
sent7 -> int1: if the fact that the Phoebe is fistulous is not false then it touts have and it is not irreconcilable.; int1 -> hypothesis;
$hypothesis$ = there is something such that if it does spurt alertness that it is a summer and it is not Rembrandtesque is correct. ; $context$ = sent1: the Hooker is a summer if it does spurt alertness. sent2: if the Hooker is cephalic then it does spurt alertness and it is a kind of a Cybele. sent3: there exists something such that if it does spurt alertness then it is a summer and Rembrandtesque. sent4: if the Hooker spurts alertness then it is a summer and is not Rembrandtesque. sent5: if the have is a kind of a bearberry then it does explain and claps sulindac. sent6: there is something such that if it spurts alertness it is a summer. sent7: something touts have and is not irreconcilable if it is fistulous. ; $proof$ = 
sent4 -> hypothesis; __PROVED__