there exists something such that it is not a kind of a pre-empt.
sent1: that something is a router is not wrong if it is a toad-in-the-hole. sent2: something is not a pre-empt if that it is metamorphic and is not a duce does not hold. sent3: the Dimetapp is a toad-in-the-hole if that the niece is a toad-in-the-hole hold. sent4: the fact that the Dimetapp is not a router is true if the fact that the Trilby is a barrator is right. sent5: something is a kind of philhellenic thing that is not plumbic if it is a router. sent6: the niece is a toad-in-the-hole. sent7: the Trilby is a barrator if it is metamorphic and is not a duce.
void -> assump1: Let's assume that the Trilby is metamorphic but not a duce.; sent7 & assump1 -> int1: the Trilby is a barrator.; int1 & sent4 -> int2: the Dimetapp is not a kind of a router.; sent1 -> int3: if the Dimetapp is a toad-in-the-hole then it is a router.; sent3 & sent6 -> int4: the Dimetapp is a toad-in-the-hole.; int3 & int4 -> int5: the Dimetapp is a router.; int2 & int5 -> int6: this is contradiction.; [assump1] & int6 -> int7: the fact that the Trilby is metamorphic but it is not a duce is not right.; sent2 -> int8: if that the Trilby is metamorphic and not a duce is not right then it is not a kind of a pre-empt.; int7 & int8 -> int9: the Trilby is not a kind of a pre-empt.; int9 -> hypothesis;
the porkchop is philhellenic but it is not plumbic.
sent5 -> int10: if the porkchop is a router then it is philhellenic and it is not plumbic.;
$hypothesis$ = there exists something such that it is not a kind of a pre-empt. ; $context$ = sent1: that something is a router is not wrong if it is a toad-in-the-hole. sent2: something is not a pre-empt if that it is metamorphic and is not a duce does not hold. sent3: the Dimetapp is a toad-in-the-hole if that the niece is a toad-in-the-hole hold. sent4: the fact that the Dimetapp is not a router is true if the fact that the Trilby is a barrator is right. sent5: something is a kind of philhellenic thing that is not plumbic if it is a router. sent6: the niece is a toad-in-the-hole. sent7: the Trilby is a barrator if it is metamorphic and is not a duce. ; $proof$ = 
void -> assump1: Let's assume that the Trilby is metamorphic but not a duce.; sent7 & assump1 -> int1: the Trilby is a barrator.; int1 & sent4 -> int2: the Dimetapp is not a kind of a router.; sent1 -> int3: if the Dimetapp is a toad-in-the-hole then it is a router.; sent3 & sent6 -> int4: the Dimetapp is a toad-in-the-hole.; int3 & int4 -> int5: the Dimetapp is a router.; int2 & int5 -> int6: this is contradiction.; [assump1] & int6 -> int7: the fact that the Trilby is metamorphic but it is not a duce is not right.; sent2 -> int8: if that the Trilby is metamorphic and not a duce is not right then it is not a kind of a pre-empt.; int7 & int8 -> int9: the Trilby is not a kind of a pre-empt.; int9 -> hypothesis; __PROVED__