strong fffz分析Part7

从本篇开始，使用标记父项 BTBMS 进行分析。

${\psi }_Z({\omega }^{\omega })=(0)(1^{(2,1)})$

${\psi }_Z({\omega }^{\omega }+1)=(0)(1^{(2,1)})(1)$

${\psi }_Z[{\omega }^{\omega }+\omega ]({\omega }^{\omega }+\omega )=(0)(1^{(2,1)})(1)(3)$

${\psi }_Z[{\omega }^{\omega }+\omega ]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1)(3^{(4)})$

${\psi }_Z[{\omega }^{\omega }+\omega ]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1)(3^{(4,3)})$

${\psi }_Z({\omega }^{\omega }+\omega )=(0)(1^{(2,1)})(1,1)$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\omega }^{\omega }+{\omega }^2)=(0)(1^{(2,1)})(1,1)(3)$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2,{\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1)(3^{(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2,{\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1)(3^{(4)(5{)}^{(6,5)}})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1)(3^{(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2,{\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega \times 2})]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega \times 2}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)},3^{(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega \times 2}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)},3^{(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }})]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(4)(6)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }})]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(4)(6^{(7,6)})})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega +1}}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(4,1)(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega \times 2}}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(4,1)(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(5)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{{\omega }^{\omega }}}))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(5,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\psi }_Z(\omega )))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(5,5)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2,{\psi }_Z[{\omega }^{\omega }]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))]({\psi }_Z[{\omega }^{\omega }]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(5^{(6)})})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })))=(0)(1^{(2,1)})(1,1)(3^{(4,1)(5^{(6,1)})})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1)(3^{(4,3)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z({\omega }^{\omega }+\omega ))=(0)(1^{(2,1)})(1,1)(3^{(4,3)})(3,3)$

${\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z[{\omega }^{\omega }+{\omega }^2]({\psi }_Z({\omega }^{\omega })))=(0)(1^{(2,1)})(1,1)(3^{(4,3)})(3,3)(5^{(6,5)})$

${\psi }_Z({\omega }^{\omega }+{\omega }^2)=(0)(1^{(2,1)})(1,1,1)$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\omega }^{\omega }+{\omega }^3)=(0)(1^{(2,1)})(1,1,1)(3)$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3,{\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1,1)(3^{(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2})]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1)(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2}),{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }})]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1)(4)(6)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2})]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1)(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2})]({\psi }_Z[{\omega }^{\omega }]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1)(5^{(6,1)})})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3,{\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2})]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1)(5^{(6,5)})})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^2}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^3}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1,1)(4)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{\omega }}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1,1)(4,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{{\omega }^2}}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1,1)(4,1,1)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\omega }^{{\omega }^{{\omega }^3}}))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1,1)(5)})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z[{\omega }^{\omega }]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })))=(0)(1^{(2,1)})(1,1,1)(3^{(4,1,1)(5^{(6)})})$

${\psi }_Z[{\omega }^{\omega }+{\omega }^3]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1,1,1)(3^{(4,3)})$

${\psi }_Z({\omega }^{\omega }+{\omega }^3)=(0)(1^{(2,1)})(1,1,1,1)$

${\psi }_Z[{\omega }^{\omega }\times 2]({\omega }^{\omega }\times 2)=(0)(1^{(2,1)})(1^{(3)})$

${\psi }_Z[{\omega }^{\omega }\times 2,{\omega }^{\omega +1}]({\omega }^{\omega +1})=(0)(1^{(2,1)})(1^{(3)})(3)$

${\psi }_Z[{\omega }^{\omega }\times 2,{\omega }^{\omega +1},{\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1^{(3)})(3^{(4)})$

${\psi }_Z[{\omega }^{\omega }\times 2,{\omega }^{\omega +1},{\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega })]({\psi }_Z({\omega }^{\omega }))=(0)(1^{(2,1)})(1^{(3)})(3^{(4)(5{)}^{(6,5)}})$

${\psi }_Z[{\omega }^{\omega }\times 2,{\omega }^{\omega +1}]({\psi }_Z[{\omega }^{\omega }]({\omega }^{\omega }))=(0)(1^{(2,1)})(1^{(3)})(3^{(4,1)})$