theorem :: WALLACE1:17

for x1, x2, x3, x5, x6, x7 being non pair set
for x4 being set st x4 <> [<*(GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7))*>,xor2] & x4 <> [<*(GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7))*>,and2] & not x4 in InnerVertices (STC0IIStr (x1,x2,x3,x5,x6,x7)) holds
( x1 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) & x2 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) & x3 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) & x4 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) & x5 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) & x6 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) & x7 in InputVertices (STC0IStr (x1,x2,x3,x4,x5,x6,x7)) )