benchmark formulas k_dum_n.txt begin 1: (true & (~(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))) -> ((dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0)))))))))) v false) 2: ((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (~(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0))))))) -> ((dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0))))))))))) v false) 3: ((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (~(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))))) -> ((dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0)))))))))))) v false) 4: (((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (~(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0))))))))) -> ((dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0))))))))))))) v false) 5: (((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (~(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))))))) -> ((dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0)))))))))))))) v (dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))) 6: ((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (~(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0))))))))))))))) v (dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))) 7: ((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (~(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0)))))))))))))))) v ((dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))) v (dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))))) 8: (((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))) & (~(box(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0))))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0))))))))))))))))) v ((dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))) v (dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))))))) 9: (((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))) & (~(box(box(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0)))))))))))))))))) v (((dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))) v (dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))))) v (dia(dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))))))) 10: ((((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))) & (box(box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))) & (~(box(box(box(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0))))))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0))))))))))))))))))) v (((dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))))) v (dia(dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))))))) v (dia(dia(dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))))))))) 11: ((((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))) & (box(box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))) & (~(box(box(box(box(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box p0) -> (box(box p0))))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))) & ((box((box((p0 -> (box p0)) -> (box(p0 -> (box p0))))) -> (p0 -> (box p0)))) -> ((dia(box(p0 -> (box p0)))) -> ((p0 -> (box p0)) v (box(p0 -> (box p0)))))))))))))))))))) v ((((dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))))) v (dia(dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))))))) v (dia(dia(dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))))))) v (dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(~((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))))))))) 12: (((((((box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))) & (box(box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))) & (box(box(box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))) & (~(box(box(box(box(box(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0))))))))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> (box(box((box(p0 -> (box p0))) -> p0)))) & (box((box 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((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))) & (box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))) & (box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))) & (box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))) & (box(box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0))))))))))) & (box(box(box(box(box(box((box((box p0) -> (box(box p0)))) & ((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> (p0 v (box p0)))))))))))) & (~(box(box(box(box(box(box(box(box(box(box(box(box(box(box((box((box(p0 -> (box p0))) -> p0)) -> ((dia(box p0)) -> p0)))))))))))))))))) -> ((dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(dia(~(((((box((box(p0 -> (box p0))) -> p0)) -> 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