Поиск внешней устойчивости ферзи:

( A1VB1VC1VD1VA2VB2VA3VC3VA4VD4 )( A1VB1VC1VD1VA2VB2VC2VB3VD3VB4 )

( A1VB1VC1VD1VB2VC2VD2VA3VC3VC4 )( A1VB1VC1VD1VC2VD2VB3VD3VA4VD4 )

( A1VB1VA2VB2VC2VD2VA3VB3VA4VC4 )( A1VB1VC1VA2VB2VC2VD2VA3VB3VC3VB4VD4 )

( B1VC1VD1VA2VB2VC2VD2VB3VC3VD3VA4VC4 )( C1VD1VA2VB2VC2VD2VC3VD3VB4VD4 )

( A1VC1VA2VB2VA3VB3VC3VD3VA4VB4 )( B1VD1VA2VB2VC2VA3VB3VC3VD3VA4VB4VC4 )

( A1VC1VB2VC2VD2VA3VB3VC3VD3VB4VC4VD4 )( B1VD1VC2VD2VA3VB3VC3VD3VC4VD4 )

( A1V D1VA2VC2VA3VB3VA4VB4VC4VD4 )( B1VB2VD2VA3VB3VC3VA4VB4VC4VD4 )

( C1VA2VC2VB3VC3VD3VA4VB4VC4VD4 )( A1VD1VB2VD2VC3VD3VA4VB4VC4VD4 )=

[[ По дистрибутивному закону, используя свойство инденпотентности и закон поглощения, перемножаем по 2 скобки ]]

=(A1VB1VC1VD1 VA2VB2VC2A3VA3B3VA3D3VA3B4VC2C3VB3C3VC3D3VC3B4VC2A4VB3A4VD3A4VA4B4VC2D4VB3D4VD3D4VB4D4)

(A1VB1VC1VD1 VC2VD2VB2B3VB2D3VB2A4VB2D4VA3B3VA3D3VA3A4VA3D4VB3C3VC3D3VC3A4VC3D4VB3C4VD3C4VA4C4VC4D4)

(A1VB1V A2VB2VC2VD2 VA3VB3VC1A4VB3A4VC3A4VA4B4VA4D4VC1C4VB3C4VC3C4VB4C4VC4D4)

(C1VD1V A2VB2VC2VD2 VC3VD3VB1B4VB1D4VB3B4VB3D4VA4B4VA4D4VB4C4VC4D4)

(A2VB2V A3VB3VC3VD3 VA4VB4VA1B1VA1D1VA1C2VA1C4VB1C1VC1D1VC1C2VC1C4)

(C2VD2V A3VB3VC3VD3 VC4VD4VA1B1VA1D1VB1C1VC1D1VB1B2VD1B2VB1B4VD1B4)

(A3VB3V A4VB4VC4VD4 VA1B1VA1B2VA1D2VA1C3VB1D1VD1B2VD1D2VD1C3VB1A2VA2B2VA2D2VA2C3VB1C2VB2C2VC2D2VC2C3)

(C3VD3V A4VB4VC4VD4 VA1C1VC1D1VC1B2VC1D2VA1A2VD1A2VA2B2VA2D2VA1C2VD1C2VB2C2VC2D2VA1B3VD1B3VB2B3VD2B3)=

[[ По дистрибутивному закону, используя свойство инденпотентности и закон поглощения, перемножаем по 2 скобки ]]

=(A1VB1VC1VD1VA3B3VA3D3VB3C3VC3D3VA2C2VA2D2VA2B2B3VA2B2D3VA2B2A4VA2B2D4VA2A3A4VA2A3D4VA2C3A4VA2C3D4VA2B3C4VA2D3C4VA2A4C4VA2C4D4VB2C2VB2D2VB2B3VB2D3VB2A4VB2D4VC2A3VC2A3B4VD2A3B4VB2A3A4B4VB2A3B4D4VA3A4B4VA3B4D4VA3C3A4B4VA3C3B4D4VA3A4B4C4VA3B4C4D4VC2C3VC2C3B4VD2C3B4VB2C3A4B4VB2C3B4D4VA3C3A4B4VA3C3B4D4VC3A4B4VC3B4D4VC3B3B4C4VC3A4B4C4VC3C4B4D4VC2A4VC2B3A4VD2B3A4VB2BA4VB2B3A4D4VB3A4C4VB3A4C4VC2D3A4VD2D3A4VB2B3D3A4VB2D3A4VD3A4C4VC2A4B4VD2A4B4VB2B3A4B4VB2D3A4B4VB2A4B4VA3A4B4VC3A4B4VB3A4B4C4VD3A4B4C4VA4B4C4VC2D4VC2B3D4VD2B3D4VB2B3D4VB2B3D4VB3C3D4VB3C4D4VC2D3D4VD2D3D4VB2B3D3D4VB2D3D4VD3C4D4VC2B4D4VD2B4D4VB2B4D4VA3B4D4VC3B4D4VC4B4D4)

(A2VB2VC2VD2VA4B4VA4D4VB4C4VC4D4VA1C1VA1D1VA1C3VA1D3VA1B1B4VA1B3D4VB1C1VB1D1VB1C3VB1D3VB1B4VB1D4VC1A3VD1A3VA3C3VA3D3VB1A3B4VB1A3D4VA3B3B4VA3B3D4VC1B3VD1B3VB3C3VB3D3VB3B4VB3D4VC1A4VC1D1A4VC1C3A4VC1D3A4VC1B1B4A4VC1B3A4VD1B3A4VC3B3A4VB3D3A4VC3A4VC1C4VC1B3C4VD1B3C4VB3C3C4VB3D3C4VB3C4B4VC3C4)

(A3VB3VC3VD3VA1B1VA1D1VB1C1VC1D1VA2C2VA2D2VA2C4VA2D4VB1A2B2VD1A2B2VB1A2B4VD1A2B4VB2C2VB2D2VB2C4VB2D4VB1B2VD1B2VC2A4VD2A4VA4C4VA4D4VB1B2A4VD1B2A4VB1A4B4VD1A4B4VD2B4VB4C4VB4D4VB1B4VD1B4VA1C2D2VA1C2C4VA1C2D4VA1B1B2C2VA1D1B2C2VA1B1C2B4VA1D1C2B4VA1C4VC1C2D2VC1C2C4VC1C2D4VB1C1B2C2VC1C4)

(A4VB4VC4VD4VA2B2VA2D2VB2C2VC2D2VA3C3VA3D3VA1C1A3VC1D1A3VC1B2A3VC1D2A3VA1A2A3VD1A2A3VA1C2A3VD1C2A3VB3C3VB3D3VA1B3VD1B3VB2B3VD2B3VA1B1C3VA1B1D3VA1B1C1VA1B1A2VA1B1C2VA1B1B3VA1B2C3VA1B2D3VA1C1B2VA1B2A2VA1B2C2VA1B2B3VA1D2C3VA1D2D3VA1C1D2VA1A2D2VA1C2D2VA1D2B3VA1C3VB1D1C3VB1D1D3VB1C1D1VB1D1A2VB1D1C2VA1B1D1B3VB1D1B3VD1B2C3VD1B2D3VA1C1D1B2VC1D1B2VA1D1A2B2VD1A2B2VD1B2C2VA1D1B2B3VD1B2B3VD1D2C3VD1D2D3VA1C1D1D2VC1D1D2VD1A2D2VD1C2D2VA1D1D2B3VD1D2B3VD1C3VB1A2C3VB1A2D3VA1B1C1A2VB1C1D1A2VB1C1A2B2VB1C1A2D2VA1B1A2VB1D1A2VB1D1A2B3VB1A2B2B3VB1A2D2B3VA2C3VB1C2C3VB1C2D3VA1B1C1C2VB1C1D1C2VB1C1B2C2VB1C1C2D2VA1B1C2VB1D1C2VB1B2C2B3VB1C2D2B3VC2C3)=