theorem ThSTC0S1: :: WALLACE1:22

for x1, x2, x3, x4, x5, x6, x7 being set holds InnerVertices (STC0Str (x1,x2,x3,x4,x5,x6,x7)) = (((((({[<*x1,x2*>,xor2],(GFA0AdderOutput (x1,x2,x3))} \/ {[<*x1,x2*>,and2],[<*x2,x3*>,and2],[<*x3,x1*>,and2],(GFA0CarryOutput (x1,x2,x3))}) \/ {[<*x5,x6*>,xor2],(GFA0AdderOutput (x5,x6,x7))}) \/ {[<*x5,x6*>,and2],[<*x6,x7*>,and2],[<*x7,x5*>,and2],(GFA0CarryOutput (x5,x6,x7))}) \/ {[<*(GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7))*>,xor2],(GFA0AdderOutput ((GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7)),x4))}) \/ {[<*(GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7))*>,and2],[<*(GFA0AdderOutput (x5,x6,x7)),x4*>,and2],[<*x4,(GFA0AdderOutput (x1,x2,x3))*>,and2],(GFA0CarryOutput ((GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7)),x4))}) \/ {[<*(GFA0CarryOutput (x1,x2,x3)),(GFA0CarryOutput (x5,x6,x7))*>,xor2],(GFA0AdderOutput ((GFA0CarryOutput (x1,x2,x3)),(GFA0CarryOutput (x5,x6,x7)),(GFA0CarryOutput ((GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7)),x4))))}) \/ {[<*(GFA0CarryOutput (x1,x2,x3)),(GFA0CarryOutput (x5,x6,x7))*>,and2],[<*(GFA0CarryOutput (x5,x6,x7)),(GFA0CarryOutput ((GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7)),x4))*>,and2],[<*(GFA0CarryOutput ((GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7)),x4)),(GFA0CarryOutput (x1,x2,x3))*>,and2],(GFA0CarryOutput ((GFA0CarryOutput (x1,x2,x3)),(GFA0CarryOutput (x5,x6,x7)),(GFA0CarryOutput ((GFA0AdderOutput (x1,x2,x3)),(GFA0AdderOutput (x5,x6,x7)),x4))))}