benchmark formulas k_path_n.txt
begin
1: (((((box p1) v (box p2)) v (box p3)) v (box p5)) v ((((((((((((((dia((~p1) & (box p1))) v (dia((~p1) & (box p3)))) v false) v (false v false)) v (((dia((~p3) & (box p1))) v (dia((~p3) & (box p3)))) v false)) v (false v false)) v (((dia((~p5) & (box p1))) v (dia((~p5) & (box p3)))) v false)) v (false v false)) v (false v false)) v (false v ((dia((~p4) & (box p2))) v (dia((~p6) & (box p2)))))) v (false v false)) v (false v ((dia((~p4) & (box p4))) v (dia((~p6) & (box p4)))))) v (false v false)) v (false v ((dia((~p4) & (box p6))) v (dia((~p6) & (box p6))))))) v ((((dia(dia(~p2))) v (dia(dia(~p4)))) v (dia(dia(~p5)))) v (dia(dia(~p6))))
2: (((((box p1) v (box p2)) v (box p3)) v (box p5)) v ((((((((((((((((((((dia((~p1) & (box p1))) v (dia((~p1) & (box p3)))) v false) v (false v false)) v (((dia((~p3) & (box p1))) v (dia((~p3) & (box p3)))) v false)) v (false v false)) v (((dia((~p5) & (box p1))) v (dia((~p5) & (box p3)))) v false)) v (false v false)) v ((((dia(dia((~p1) & (box p1)))) v (dia(dia((~p1) & (box p3))))) v (dia(dia((~p1) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p2))) v (dia((~p6) & (box p2)))))) v ((((dia(dia((~p3) & (box p1)))) v (dia(dia((~p3) & (box p3))))) v (dia(dia((~p3) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p4))) v (dia((~p6) & (box p4)))))) v (((((dia(dia((~p5) & (box p1)))) v (dia(dia((~p5) & (box p3))))) v (dia(dia((~p5) & (box p2))))) v (dia(dia((~p5) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p6))) v (dia((~p6) & (box p6)))))) v (false v false)) v (false v (((dia(dia((~p2) & (box p2)))) v (dia(dia((~p4) & (box p2))))) v (dia(dia((~p6) & (box p2))))))) v (false v false)) v (false v (((dia(dia((~p2) & (box p4)))) v (dia(dia((~p4) & (box p4))))) v (dia(dia((~p6) & (box p4))))))) v (false v false)) v (false v (((dia(dia((~p2) & (box p6)))) v (dia(dia((~p4) & (box p6))))) v (dia(dia((~p6) & (box p6)))))))) v ((((dia(dia(dia(~p2)))) v (dia(dia(dia(~p4))))) v (dia(dia(dia(~p2))))) v (dia(dia(dia(~p6)))))
3: (((((box p1) v (box p2)) v (box p3)) v (box p5)) v ((((((((((((((((((((((((((dia((~p1) & (box p3))) v (dia((~p1) & (box p5)))) v false) v ((dia((~p2) & (box p1))) v false)) v (((dia((~p3) & (box p3))) v (dia((~p3) & (box p5)))) v false)) v (false v false)) v (((dia((~p5) & (box p3))) v (dia((~p5) & (box p5)))) v false)) v (false v false)) v ((((dia(dia((~p1) & (box p1)))) v (dia(dia((~p1) & (box p3))))) v (dia(dia((~p1) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p2))) v (dia((~p6) & (box p2)))))) v ((((dia(dia((~p3) & (box p1)))) v (dia(dia((~p3) & (box p3))))) v (dia(dia((~p3) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p4))) v (dia((~p6) & (box p4)))))) v ((((dia(dia((~p5) & (box p1)))) v (dia(dia((~p5) & (box p3))))) v (dia(dia((~p5) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p6))) v (dia((~p6) & (box p6)))))) v (((dia(dia(dia((~p1) & (box p3))))) v (dia(dia(dia((~p1) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p2)))) v (dia(dia((~p4) & (box p2))))) v (dia(dia((~p6) & (box p2))))))) v (((dia(dia(dia((~p3) & (box p3))))) v (dia(dia(dia((~p3) & (box p5)))))) v false)) v ((dia(dia(dia((~p4) & (box p1))))) v (((dia(dia((~p2) & (box p4)))) v (dia(dia((~p4) & (box p4))))) v (dia(dia((~p6) & (box p4))))))) v (((dia(dia(dia((~p5) & (box p3))))) v (dia(dia(dia((~p5) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p6)))) v (dia(dia((~p4) & (box p6))))) v (dia(dia((~p6) & (box p6))))))) v (false v false)) v (false v ((dia(dia(dia((~p2) & (box p2))))) v (dia(dia(dia((~p6) & (box p2)))))))) v (false v false)) v (false v ((dia(dia(dia((~p2) & (box p4))))) v (dia(dia(dia((~p6) & (box p4)))))))) v (false v false)) v (false v ((dia(dia(dia((~p2) & (box p6))))) v (dia(dia(dia((~p6) & (box p6))))))))) v ((((dia(dia(dia(dia(~p2))))) v (dia(dia(dia(dia(~p4)))))) v (dia(dia(dia(dia(~p1)))))) v (dia(dia(dia(dia(~p6))))))
4: (((((box p1) v (box p2)) v (box p3)) v (box p5)) v ((((((((((((((((((((((((((((((((dia((~p1) & (box p3))) v (dia((~p1) & (box p5)))) v false) v ((dia((~p2) & (box p1))) v false)) v (((dia((~p3) & (box p3))) v (dia((~p3) & (box p5)))) v false)) v (false v false)) v (((dia((~p5) & (box p3))) v (dia((~p5) & (box p5)))) v false)) v (false v false)) v ((((dia(dia((~p1) & (box p1)))) v (dia(dia((~p1) & (box p3))))) v (dia(dia((~p1) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p2))) v (dia((~p6) & (box p2)))))) v ((((dia(dia((~p3) & (box p1)))) v (dia(dia((~p3) & (box p3))))) v (dia(dia((~p3) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p4))) v (dia((~p6) & (box p4)))))) v ((((dia(dia((~p5) & (box p1)))) v (dia(dia((~p5) & (box p3))))) v (dia(dia((~p5) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p6))) v (dia((~p6) & (box p6)))))) v (((dia(dia(dia((~p1) & (box p3))))) v (dia(dia(dia((~p1) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p2)))) v (dia(dia((~p4) & (box p2))))) v (dia(dia((~p6) & (box p2))))))) v (((dia(dia(dia((~p3) & (box p3))))) v (dia(dia(dia((~p3) & (box p5)))))) v false)) v ((dia(dia(dia((~p4) & (box p1))))) v (((dia(dia((~p2) & (box p4)))) v (dia(dia((~p4) & (box p4))))) v (dia(dia((~p6) & (box p4))))))) v (((dia(dia(dia((~p5) & (box p3))))) v (dia(dia(dia((~p5) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p6)))) v (dia(dia((~p4) & (box p6))))) v (dia(dia((~p6) & (box p6))))))) v (((((dia(dia(dia(dia((~p1) & (box p1)))))) v (dia(dia(dia(dia((~p1) & (box p3))))))) v (dia(dia(dia(dia((~p1) & (box p4))))))) v (dia(dia(dia(dia((~p1) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p2))))) v (dia(dia(dia((~p6) & (box p2)))))))) v ((((dia(dia(dia(dia((~p3) & (box p1)))))) v (dia(dia(dia(dia((~p3) & (box p3))))))) v (dia(dia(dia(dia((~p3) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p4))))) v (dia(dia(dia((~p6) & (box p4)))))))) v ((((dia(dia(dia(dia((~p5) & (box p1)))))) v (dia(dia(dia(dia((~p5) & (box p3))))))) v (dia(dia(dia(dia((~p5) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p6))))) v (dia(dia(dia((~p6) & (box p6)))))))) v (false v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p2)))))) v (dia(dia(dia(dia((~p4) & (box p2))))))) v (dia(dia(dia(dia((~p6) & (box p2))))))))) v (false v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p4)))))) v (dia(dia(dia(dia((~p4) & (box p4))))))) v (dia(dia(dia(dia((~p6) & (box p4))))))))) v (false v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p6)))))) v (dia(dia(dia(dia((~p4) & (box p6))))))) v (dia(dia(dia(dia((~p6) & (box p6)))))))))) v ((((dia(dia(dia(dia(dia(~p2)))))) v (dia(dia(dia(dia(dia(~p4))))))) v (dia(dia(dia(dia(dia(~p4))))))) v (dia(dia(dia(dia(dia(~p6)))))))
5: (((((box p1) v (box p2)) v (box p3)) v (box p5)) v ((((((((((((((((((((((((((((((((((((((dia((~p1) & (box p3))) v (dia((~p1) & (box p5)))) v false) v ((dia((~p2) & (box p1))) v false)) v (((dia((~p3) & (box p3))) v (dia((~p3) & (box p5)))) v false)) v (false v false)) v (((dia((~p5) & (box p3))) v (dia((~p5) & (box p5)))) v false)) v (false v false)) v (((((dia(dia((~p1) & (box p1)))) v (dia(dia((~p1) & (box p3))))) v (dia(dia((~p1) & (box p6))))) v (dia(dia((~p1) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p2))) v (dia((~p6) & (box p2)))))) v ((((dia(dia((~p3) & (box p1)))) v (dia(dia((~p3) & (box p3))))) v (dia(dia((~p3) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p4))) v (dia((~p6) & (box p4)))))) v ((((dia(dia((~p5) & (box p1)))) v (dia(dia((~p5) & (box p3))))) v (dia(dia((~p5) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p6))) v (dia((~p6) & (box p6)))))) v (((dia(dia(dia((~p1) & (box p1))))) v (dia(dia(dia((~p1) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p2)))) v (dia(dia((~p4) & (box p2))))) v (dia(dia((~p6) & (box p2))))))) v (((dia(dia(dia((~p3) & (box p1))))) v (dia(dia(dia((~p3) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p4)))) v (dia(dia((~p4) & (box p4))))) v (dia(dia((~p6) & (box p4))))))) v (((dia(dia(dia((~p5) & (box p1))))) v (dia(dia(dia((~p5) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p6)))) v (dia(dia((~p4) & (box p6))))) v (dia(dia((~p6) & (box p6))))))) v ((((dia(dia(dia(dia((~p1) & (box p1)))))) v (dia(dia(dia(dia((~p1) & (box p3))))))) v (dia(dia(dia(dia((~p1) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p2))))) v (dia(dia(dia((~p4) & (box p2)))))))) v (((((dia(dia(dia(dia((~p3) & (box p1)))))) v (dia(dia(dia(dia((~p3) & (box p3))))))) v (dia(dia(dia(dia((~p3) & (box p6))))))) v (dia(dia(dia(dia((~p3) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p4))))) v (dia(dia(dia((~p4) & (box p4)))))))) v ((((dia(dia(dia(dia((~p5) & (box p1)))))) v (dia(dia(dia(dia((~p5) & (box p3))))))) v (dia(dia(dia(dia((~p5) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p6))))) v (dia(dia(dia((~p4) & (box p6)))))))) v (((dia(dia(dia(dia(dia((~p1) & (box p1))))))) v (dia(dia(dia(dia(dia((~p1) & (box p5)))))))) v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p2)))))) v (dia(dia(dia(dia((~p4) & (box p2))))))) v (dia(dia(dia(dia((~p6) & (box p2))))))))) v (((dia(dia(dia(dia(dia((~p3) & (box p1))))))) v (dia(dia(dia(dia(dia((~p3) & (box p5)))))))) v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p4)))))) v (dia(dia(dia(dia((~p4) & (box p4))))))) v (dia(dia(dia(dia((~p6) & (box p4))))))))) v (((dia(dia(dia(dia(dia((~p5) & (box p1))))))) v (dia(dia(dia(dia(dia((~p5) & (box p5)))))))) v false)) v ((dia(dia(dia(dia(dia((~p6) & (box p3))))))) v (((dia(dia(dia(dia((~p2) & (box p6)))))) v (dia(dia(dia(dia((~p4) & (box p6))))))) v (dia(dia(dia(dia((~p6) & (box p6))))))))) v (false v false)) v (false v ((dia(dia(dia(dia(dia((~p2) & (box p2))))))) v (dia(dia(dia(dia(dia((~p4) & (box p2)))))))))) v (false v false)) v (false v ((dia(dia(dia(dia(dia((~p2) & (box p4))))))) v (dia(dia(dia(dia(dia((~p4) & (box p4)))))))))) v (false v false)) v (false v ((dia(dia(dia(dia(dia((~p2) & (box p6))))))) v (dia(dia(dia(dia(dia((~p4) & (box p6))))))))))) v ((((dia(dia(dia(dia(dia(dia(~p2))))))) v (dia(dia(dia(dia(dia(dia(~p4)))))))) v (dia(dia(dia(dia(dia(dia(~p3)))))))) v (dia(dia(dia(dia(dia(dia(~p6))))))))
6: (((((box p1) v (box p2)) v (box p3)) v (box p5)) v ((((((((((((((((((((((((((((((((((((((((((((dia((~p1) & (box p3))) v (dia((~p1) & (box p5)))) v false) v ((dia((~p2) & (box p1))) v false)) v (((dia((~p3) & (box p3))) v (dia((~p3) & (box p5)))) v false)) v (false v false)) v (((dia((~p5) & (box p3))) v (dia((~p5) & (box p5)))) v false)) v (false v false)) v (((((dia(dia((~p1) & (box p1)))) v (dia(dia((~p1) & (box p3))))) v (dia(dia((~p1) & (box p6))))) v (dia(dia((~p1) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p2))) v (dia((~p6) & (box p2)))))) v ((((dia(dia((~p3) & (box p1)))) v (dia(dia((~p3) & (box p3))))) v (dia(dia((~p3) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p4))) v (dia((~p6) & (box p4)))))) v ((((dia(dia((~p5) & (box p1)))) v (dia(dia((~p5) & (box p3))))) v (dia(dia((~p5) & (box p5))))) v false)) v (false v ((dia((~p4) & (box p6))) v (dia((~p6) & (box p6)))))) v (((dia(dia(dia((~p1) & (box p1))))) v (dia(dia(dia((~p1) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p2)))) v (dia(dia((~p4) & (box p2))))) v (dia(dia((~p6) & (box p2))))))) v (((dia(dia(dia((~p3) & (box p1))))) v (dia(dia(dia((~p3) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p4)))) v (dia(dia((~p4) & (box p4))))) v (dia(dia((~p6) & (box p4))))))) v (((dia(dia(dia((~p5) & (box p1))))) v (dia(dia(dia((~p5) & (box p5)))))) v false)) v (false v (((dia(dia((~p2) & (box p6)))) v (dia(dia((~p4) & (box p6))))) v (dia(dia((~p6) & (box p6))))))) v ((((dia(dia(dia(dia((~p1) & (box p1)))))) v (dia(dia(dia(dia((~p1) & (box p3))))))) v (dia(dia(dia(dia((~p1) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p2))))) v (dia(dia(dia((~p4) & (box p2)))))))) v (((((dia(dia(dia(dia((~p3) & (box p1)))))) v (dia(dia(dia(dia((~p3) & (box p3))))))) v (dia(dia(dia(dia((~p3) & (box p6))))))) v (dia(dia(dia(dia((~p3) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p4))))) v (dia(dia(dia((~p4) & (box p4)))))))) v ((((dia(dia(dia(dia((~p5) & (box p1)))))) v (dia(dia(dia(dia((~p5) & (box p3))))))) v (dia(dia(dia(dia((~p5) & (box p5))))))) v false)) v (false v ((dia(dia(dia((~p2) & (box p6))))) v (dia(dia(dia((~p4) & (box p6)))))))) v (((dia(dia(dia(dia(dia((~p1) & (box p1))))))) v (dia(dia(dia(dia(dia((~p1) & (box p5)))))))) v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p2)))))) v (dia(dia(dia(dia((~p4) & (box p2))))))) v (dia(dia(dia(dia((~p6) & (box p2))))))))) v (((dia(dia(dia(dia(dia((~p3) & (box p1))))))) v (dia(dia(dia(dia(dia((~p3) & (box p5)))))))) v false)) v (false v (((dia(dia(dia(dia((~p2) & (box p4)))))) v (dia(dia(dia(dia((~p4) & (box p4))))))) v (dia(dia(dia(dia((~p6) & (box p4))))))))) v (((dia(dia(dia(dia(dia((~p5) & (box p1))))))) v (dia(dia(dia(dia(dia((~p5) & (box p5)))))))) v false)) v ((dia(dia(dia(dia(dia((~p6) & (box p3))))))) v (((dia(dia(dia(dia((~p2) & (box p6)))))) v (dia(dia(dia(dia((~p4) & (box p6))))))) v (dia(dia(dia(dia((~p6) & (box p6))))))))) v ((((dia(dia(dia(dia(dia(dia((~p1) & (box p1)))))))) v (dia(dia(dia(dia(dia(dia((~p1) & (box p3))))))))) v (dia(dia(dia(dia(dia(dia((~p1) & (box p5))))))))) v false)) v (false v ((dia(dia(dia(dia(dia((~p2) & (box p2))))))) v (dia(dia(dia(dia(dia((~p4) & (box p2)))))))))) v (((((dia(dia(dia(dia(dia(dia((~p3) & (box p1)))))))) v (dia(dia(dia(dia(dia(dia((~p3) & (box p3))))))))) v (dia(dia(dia(dia(dia(dia((~p3) & (box p6))))))))) v (dia(dia(dia(dia(dia(dia((~p3) & (box p5))))))))) v false)) v (false v ((dia(dia(dia(dia(dia((~p2) & (box p4))))))) v (dia(dia(dia(dia(dia((~p4) & (box p4)))))))))) v ((((dia(dia(dia(dia(dia(dia((~p5) & (box p1)))))))) v (dia(dia(dia(dia(dia(dia((~p5) & (box p3))))))))) v (dia(dia(dia(dia(dia(dia((~p5) & (box p5))))))))) v false)) v (false v ((dia(dia(dia(dia(dia((~p2) & (box p6))))))) v (dia(dia(dia(dia(dia((~p4) & (box p6)))))))))) v (false v false)) v (false v (((dia(dia(dia(dia(dia(dia((~p2) & (box p2)))))))) v (dia(dia(dia(dia(dia(dia((~p4) & (box p2))))))))) v (dia(dia(dia(dia(dia(dia((~p6) & (box p2))))))))))) v (false v false)) v (false v (((dia(dia(dia(dia(dia(dia((~p2) & (box p4)))))))) v (dia(dia(dia(dia(dia(dia((~p4) & (box p4))))))))) v (dia(dia(dia(dia(dia(dia((~p6) & (box p4))))))))))) v (false v false)) v (false v (((dia(dia(dia(dia(dia(dia((~p2) & (box p6)))))))) v (dia(dia(dia(dia(dia(dia((~p4) & (box p6))))))))) v (dia(dia(dia(dia(dia(dia((~p6) & (box p6)))))))))))) v ((((dia(dia(dia(dia(dia(dia(dia(~p2)))))))) v (dia(dia(dia(dia(dia(dia(dia(~p4))))))))) v (dia(dia(dia(dia(dia(dia(dia(~p6))))))))) v (dia(dia(dia(dia(dia(dia(dia(~p6)))))))))
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