benchmark formulas k_branch_p.txt
begin
1: (~((p100 & (~p101)) & (((((p101 -> p100) & (p102 -> p101)) & ((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1)))))))) & ((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1)))))) & (box((((p101 -> p100) & (p102 -> p101)) & ((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1)))))))) & ((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1)))))))))) v (~(box p1))
2: (~((p100 & (~p101)) & (((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2)))))))) & (((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2))))))) & (box(((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2)))))))) & (((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2))))))))) & (box(box(((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2)))))))) & (((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))))))))) v (~(box(box p1)))
3: (~((p100 & (~p101)) & (((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & ((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3)))))))) & ((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3))))))) & (box((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & ((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3)))))))) & ((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3))))))))) & (box(box((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & ((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3)))))))) & ((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))))))) & (box(box(box((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & ((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3)))))))) & ((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3))))))))))))) v (~(box(box(box p2))))
4: (~((p100 & (~p101)) & (((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4)))))))) & (((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4))))))) & (box(((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4)))))))) & (((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4))))))))) & (box(box(((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4)))))))) & (((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))))))) & (box(box(box(((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4)))))))) & (((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4))))))))))) & (box(box(box(box(((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4)))))))) & (((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))))))))))) v (~(box(box(box(box p2)))))
5: (~((p100 & (~p101)) & (((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & ((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5)))))))) & ((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5))))))) & (box((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & ((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5)))))))) & ((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5))))))))) & (box(box((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & ((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5)))))))) & ((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))))))) & (box(box(box((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & ((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5)))))))) & ((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5))))))))))) & (box(box(box(box((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & ((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5)))))))) & ((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))))))))) & (box(box(box(box(box((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & ((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5)))))))) & ((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5))))))))))))))) v (~(box(box(box(box(box p2))))))
6: (~((p100 & (~p101)) & (((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6))))))) & (box(((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6))))))))) & (box(box(((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))))))) & (box(box(box(((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6))))))))))) & (box(box(box(box(((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))))))))) & (box(box(box(box(box(((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6))))))))))))) & (box(box(box(box(box(box(((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6)))))))) & (((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))))))))))))) v (~(box(box(box(box(box(box p3)))))))
7: (~((p100 & (~p101)) & (((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7))))))) & (box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7))))))))) & (box(box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))))))) & (box(box(box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7))))))))))) & (box(box(box(box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))))))))) & (box(box(box(box(box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7))))))))))))) & (box(box(box(box(box(box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))))))))))) & (box(box(box(box(box(box(box((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & ((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7)))))))) & ((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7))))))))))))))))) v (~(box(box(box(box(box(box(box p3))))))))
8: (~((p100 & (~p101)) & (((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8))))))) & (box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8))))))))) & (box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))))))) & (box(box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8))))))))))) & (box(box(box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))))))))) & (box(box(box(box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8))))))))))))) & (box(box(box(box(box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))))))))))) & (box(box(box(box(box(box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8))))))))))))))) & (box(box(box(box(box(box(box(box(((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8)))))))) & (((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))))))))))))))) v (~(box(box(box(box(box(box(box(box p3)))))))))
9: (~((p100 & (~p101)) & (((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9))))))) & (box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9))))))))) & (box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))))))) & (box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9))))))))))) & (box(box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))))))))) & (box(box(box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9))))))))))))) & (box(box(box(box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))))))))))) & (box(box(box(box(box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9))))))))))))))) & (box(box(box(box(box(box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))))))))))))) & (box(box(box(box(box(box(box(box(box((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & ((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9)))))))) & ((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box p4))))))))))
10: (~((p100 & (~p101)) & (((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10))))))) & (box(((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10))))))))) & (box(box(((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))))))) & 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(box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10))))))))))) & 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-> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))))))))) & 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((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10))))))))))))) & 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((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))))))))))) & 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(p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10))))))))))))))) & 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(p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))))))))))))) & (box(box(box(box(box(box(box(box(box(((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10)))))))) & (((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box(box p4)))))))))))
11: (~((p100 & (~p101)) & (((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & ((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11)))))))) & ((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11))))))) & (box((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & ((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11)))))))) & ((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11))))))))) & (box(box((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & ((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11)))))))) & ((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))))))) & (box(box(box((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & ((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11)))))))) & ((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11))))))))))) & (box(box(box(box((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & ((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> 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12: (~((p100 & (~p101)) & (((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12))))))) & (box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12))))))))) & (box(box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))))))) & (box(box(box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & 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& (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))))))))) & (box(box(box(box(box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & 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& (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))))))))))) & (box(box(box(box(box(box(box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) 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& ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & 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((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12))))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(box(((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12)))))))) & (((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box(box(box(box p5)))))))))))))
13: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13))))))) & (box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13))))))))) & (box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))))))) & (box(box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> 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((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> 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& (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13))))))))))))))) & (box(box(box(box(box(box(box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & 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(p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13))))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(box(box((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & ((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13)))))))) & ((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13))))))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box(box(box(box(box p5))))))))))))))
14: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14)))))))) & (((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14))))))) & (box(((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> 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((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14)))))))) & (((((((((((((((p100 & (~p101)) -> 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& (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14)))))))) & (((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> 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((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box(box(box(box(box(box p5)))))))))))))))
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-> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15))))))))) & (box(box((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 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(~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))))))) & (box(box(box((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & ((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15)))))))) & ((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15))))))))))) & (box(box(box(box((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> 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(box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15)))))))) & ((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & 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16: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16))))))) & (box(((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16))))))))) & (box(box(((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))))))) & (box(box(box(((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16))))))))))) & (box(box(box(box(((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> 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((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & 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(box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & 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((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16))))))))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16)))))))) & (((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))))))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box p6)))))))))))))))))
17: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & ((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17)))))))) & ((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17))))))) & (box((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & ((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> 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-> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17)))))))) & ((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17))))))))) & (box(box((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & ((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> 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(~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))))))) & (box(box(box((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & ((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17)))))))) & ((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17))))))))))) & (box(box(box(box((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & ((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17)))))))) & ((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & 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-> p117)) & ((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> 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& ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & 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(dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & 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18: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18)))))))) & (((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & 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(~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> 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& (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18))))))))) & (box(box(((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18)))))))) & (((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & 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-> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 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& ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & 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-> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18)))))))) & (((((((((((((((((((p100 & 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-> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18)))))))) & (((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18))))))))))))) & (box(box(box(box(box(box(((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> 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((~p18) -> (box(p118 -> (~p18)))))))) & (((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & 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(box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18)))))))) & (((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & 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19: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> 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((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & 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p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19))))))))) & (box(box((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19)))))))))) & (box(box(box((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19))))))))))) & (box(box(box(box((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & 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(box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> 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& (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & 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((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & 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& p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & 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-> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> 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-> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19))))))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(box(box(box((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> 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& ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & 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& (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> 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& (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & 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& ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19))))))))))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & ((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19)))))))) & ((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & 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(~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> 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(~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19))))))))))))))))))))))))))))) v (~(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box(box p7))))))))))))))))))))
20: (~((p100 & (~p101)) & (((((((((((((((((((((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & (p121 -> p120)) & (((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> 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(p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & (p121 -> p120)) & (((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19))))))) & (p120 -> ((p20 -> (box(p120 -> p20))) & ((~p20) -> (box(p120 -> (~p20)))))))) & (((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & 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(p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & (p121 -> p120)) & (((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> 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& (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & (p121 -> p120)) & (((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> 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& (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 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& (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) 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((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19)))))) & ((p119 & 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& (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19)))))) & ((p119 & (~p120)) -> ((dia((p120 & (~p121)) & p20)) & (dia((p120 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& (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 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& (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19)))))) & ((p119 & (~p120)) -> ((dia((p120 & (~p121)) & p20)) & (dia((p120 & (~p121)) & (~p20))))))))))))))))))))))))))) & 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& (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19)))))) & ((p119 & (~p120)) -> ((dia((p120 & (~p121)) & p20)) & (dia((p120 & (~p121)) & (~p20)))))))))))))))))))))))))))))) v 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(~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> (~p19))))))) & (p120 -> ((p20 -> (box(p120 -> p20))) & ((~p20) -> (box(p120 -> (~p20))))))) & (p121 -> ((p21 -> (box(p121 -> p21))) & ((~p21) -> (box(p121 -> (~p21)))))))) & ((((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & 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((((((((((((((((((((((p100 & (~p101)) -> ((dia((p101 & (~p102)) & p1)) & (dia((p101 & (~p102)) & (~p1))))) & ((p101 & (~p102)) -> ((dia((p102 & (~p103)) & p2)) & (dia((p102 & (~p103)) & (~p2)))))) & ((p102 & (~p103)) -> ((dia((p103 & (~p104)) & p3)) & (dia((p103 & (~p104)) & (~p3)))))) & ((p103 & (~p104)) -> ((dia((p104 & (~p105)) & p4)) & (dia((p104 & (~p105)) & (~p4)))))) & ((p104 & (~p105)) -> ((dia((p105 & (~p106)) & p5)) & (dia((p105 & (~p106)) & (~p5)))))) & ((p105 & (~p106)) -> ((dia((p106 & (~p107)) & p6)) & (dia((p106 & (~p107)) & (~p6)))))) & ((p106 & (~p107)) -> ((dia((p107 & (~p108)) & p7)) & (dia((p107 & (~p108)) & (~p7)))))) & ((p107 & (~p108)) -> ((dia((p108 & (~p109)) & p8)) & (dia((p108 & (~p109)) & (~p8)))))) & ((p108 & (~p109)) -> ((dia((p109 & (~p110)) & p9)) & (dia((p109 & (~p110)) & (~p9)))))) & ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & 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(box(box(box(box(box(box(box(box(box((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & (p121 -> p120)) & (p122 -> p121)) & ((((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> p5))) & ((~p5) -> (box(p105 -> (~p5))))))) & (p106 -> ((p6 -> (box(p106 -> p6))) & ((~p6) -> (box(p106 -> (~p6))))))) & (p107 -> ((p7 -> (box(p107 -> p7))) & ((~p7) -> (box(p107 -> (~p7))))))) & (p108 -> ((p8 -> (box(p108 -> p8))) & ((~p8) -> (box(p108 -> (~p8))))))) & (p109 -> ((p9 -> (box(p109 -> p9))) & ((~p9) -> (box(p109 -> (~p9))))))) & (p110 -> ((p10 -> (box(p110 -> p10))) & ((~p10) -> (box(p110 -> (~p10))))))) & (p111 -> ((p11 -> (box(p111 -> p11))) & ((~p11) -> (box(p111 -> (~p11))))))) & (p112 -> ((p12 -> (box(p112 -> p12))) & ((~p12) -> (box(p112 -> (~p12))))))) & (p113 -> ((p13 -> (box(p113 -> p13))) & ((~p13) -> (box(p113 -> (~p13))))))) & (p114 -> ((p14 -> (box(p114 -> p14))) & ((~p14) -> (box(p114 -> (~p14))))))) & (p115 -> ((p15 -> (box(p115 -> p15))) & ((~p15) -> (box(p115 -> (~p15))))))) & (p116 -> ((p16 -> (box(p116 -> p16))) & ((~p16) -> (box(p116 -> (~p16))))))) & (p117 -> ((p17 -> (box(p117 -> p17))) & ((~p17) -> (box(p117 -> (~p17))))))) & (p118 -> ((p18 -> (box(p118 -> p18))) & ((~p18) -> (box(p118 -> (~p18))))))) & (p119 -> ((p19 -> (box(p119 -> p19))) & ((~p19) -> (box(p119 -> 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& ((p109 & (~p110)) -> ((dia((p110 & (~p111)) & p10)) & (dia((p110 & (~p111)) & (~p10)))))) & ((p110 & (~p111)) -> ((dia((p111 & (~p112)) & p11)) & (dia((p111 & (~p112)) & (~p11)))))) & ((p111 & (~p112)) -> ((dia((p112 & (~p113)) & p12)) & (dia((p112 & (~p113)) & (~p12)))))) & ((p112 & (~p113)) -> ((dia((p113 & (~p114)) & p13)) & (dia((p113 & (~p114)) & (~p13)))))) & ((p113 & (~p114)) -> ((dia((p114 & (~p115)) & p14)) & (dia((p114 & (~p115)) & (~p14)))))) & ((p114 & (~p115)) -> ((dia((p115 & (~p116)) & p15)) & (dia((p115 & (~p116)) & (~p15)))))) & ((p115 & (~p116)) -> ((dia((p116 & (~p117)) & p16)) & (dia((p116 & (~p117)) & (~p16)))))) & ((p116 & (~p117)) -> ((dia((p117 & (~p118)) & p17)) & (dia((p117 & (~p118)) & (~p17)))))) & ((p117 & (~p118)) -> ((dia((p118 & (~p119)) & p18)) & (dia((p118 & (~p119)) & (~p18)))))) & ((p118 & (~p119)) -> ((dia((p119 & (~p120)) & p19)) & (dia((p119 & (~p120)) & (~p19)))))) & ((p119 & (~p120)) -> ((dia((p120 & (~p121)) & p20)) & (dia((p120 & (~p121)) & (~p20)))))) & ((p120 & (~p121)) -> ((dia((p121 & (~p122)) & p21)) & (dia((p121 & (~p122)) & (~p21))))))))))))))))) & (box(box(box(box(box(box(box(box(box(box((((((((((((((((((((((((p101 -> p100) & (p102 -> p101)) & (p103 -> p102)) & (p104 -> p103)) & (p105 -> p104)) & (p106 -> p105)) & (p107 -> p106)) & (p108 -> p107)) & (p109 -> p108)) & (p110 -> p109)) & (p111 -> p110)) & (p112 -> p111)) & (p113 -> p112)) & (p114 -> p113)) & (p115 -> p114)) & (p116 -> p115)) & (p117 -> p116)) & (p118 -> p117)) & (p119 -> p118)) & (p120 -> p119)) & (p121 -> p120)) & (p122 -> p121)) & ((((((((((((((((((((((p100 -> ((p0 -> (box(p100 -> p0))) & ((~p0) -> (box(p100 -> (~p0)))))) & (p101 -> ((p1 -> (box(p101 -> p1))) & ((~p1) -> (box(p101 -> (~p1))))))) & (p102 -> ((p2 -> (box(p102 -> p2))) & ((~p2) -> (box(p102 -> (~p2))))))) & (p103 -> ((p3 -> (box(p103 -> p3))) & ((~p3) -> (box(p103 -> (~p3))))))) & (p104 -> ((p4 -> (box(p104 -> p4))) & ((~p4) -> (box(p104 -> (~p4))))))) & (p105 -> ((p5 -> (box(p105 -> 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end