U p0 p1
U p0 U p1 p2
V ! p0 V ! p1 ! p2
| U t V f ! p0 V f U t p1
U U t p0 V f p1
U V f p0 p1
& & U t U t p0 V f ! p0 & U t p0 V f V f ! p0
& V f U t p0 U t V f ! p1
& & V f U t p0 U t V f ! p1 & V f U t p1 U t V f ! p0
V p0 | p0 p1
| U X p0 X p1 X V ! p0 ! p1
| U X p0 p1 X V ! p0 | ! p0 ! p1
& V f | ! p0 U t p1 | U X p0 p1 X V ! p0 | ! p0 ! p1
& V f | ! p0 U t p1 | U X p0 X p1 X V ! p0 ! p1
V f | ! p0 U t p1
U t & p0 X U ! p1 ! p2
& U t V f ! p0 V f U t ! p1
V f & U t p0 U t p1
& U t p0 U t ! p0
V & X p1 p2 X U V U p3 p0 p2 V p3 p2
| | & V f | p1 V f U t p0 V f | p2 V f U t ! p0 V f p1 V f p2
| | & V f | p1 U t V f p0 V f | p2 U t V f ! p0 V f p1 V f p2
& & | U t & ! p1 U t V f ! p0 U t & ! p2 U t V f p0 U t p1 U t p2
& & | U t & ! p1 V f U t ! p0 U t & ! p2 V f U t p0 U t p1 U t p2
& V f | p1 X V f p0 V f | p2 X V f ! p0
V f | p1 & X p0 X ! p0
| U p0 p0 U p1 p0
U p0 & p1 V f p2
U p0 & p1 X U p2 p3
U p0 & p1 X & p2 U t & p3 X U t & p4 X U t & p5 X U t p6
U t & p0 X V f p1
U t & p0 X & p1 X U t p2
U t & p0 X U p1 p2
| U t V f p0 U t V f p1
V f | ! p0 U p1 p2
U t & p0 X U t & p1 X U t & p2 X U t p3
& & & & V f U t p0 V f U t p1 V f U t p2 V f U t p3 V f U t p4
| | U p0 U p1 p2 U p1 U p2 p0 U p2 U p0 p1
V f | ! p0 U p1 | V f p2 V f p3
[](!p0)
<>p1 -> (!p0 U p1)
[](p2 -> [](!p0))
[]((p2 & !p1 & <>p1) -> (!p0 U p1))
[](p2 & !p1 -> (!p0 U (p1 | []!p0)))
<>(p0)
!p1 U ((p0 & !p1) | []!p1)
[](!p2) | <>(p2 & <>p0)
[](p2 & !p1 -> (!p1 U ((p0 & !p1) | []!p1)))
[](p2 & !p1 -> (!p1 U (p0 & !p1)))
<>p1 -> ((!p0 & !p1) U (p1 | ((p0 & !p1) U (p1 | ((!p0 & !p1) U (p1 | ((p0 & !p1) U (p1 | (!p0 U p1)))))))))
[]((p2 & <>p1) -> ((!p0 & !p1) U (p1 | ((p0 & !p1) U (p1 | ((!p0 & !p1) U (p1 | ((p0 & !p1) U (p1 | (!p0 U p1))))))))))
[](p2 -> ((!p0 & !p1) U (p1 | ((p0 & !p1) U (p1 | ((!p0 & !p1) U (p1 | ((p0 & !p1) U (p1 | (!p0 U (p1 | []!p0)) | []p0)))))))))
[](p0)
<>p1 -> (p0 U p1)
[](p2 -> [](p0))
[]((p2 & !p1 & <>p1) -> (p0 U p1))
[](p2 & !p1 -> (p0 U (p1 | [] p0)))
!p0 U (p3 | []!p0)
<>p1 -> (!p0 U (p3 | p1))
[]!p2 | <>(p2 & (!p0 U (p3 | []!p0)))
[]((p2 & !p1 & <>p1) -> (!p0 U (p3 | p1)))
[](p2 & !p1 -> (!p0 U ((p3 | p1) | []!p0)))
[](p0 -> <>p3)
<>p1 -> (p0 -> (!p1 U (p3 & !p1))) U p1
[](p2 -> [](p0 -> <>p3))
[]((p2 & !p1 & <>p1) -> (p0 -> (!p1 U (p3 & !p1))) U p1)
[](p2 & !p1 -> ((p0 -> (!p1 U (p3 & !p1))) U (p1 | [](p0 -> (!p1 U (p3 & !p1))))))
<>p0 -> (!p0 U (p3 & !p0 & X(!p0 U p4)))
<>p1 -> (!p0 U (p1 | (p3 & !p0 & X(!p0 U p4))))
([]!p2) | (!p2 U (p2 & <>p0 -> (!p0 U (p3 & !p0 & X(!p0 U p4)))))
[]((p2 & <>p1) -> (!p0 U (p1 | (p3 & !p0 & X(!p0 U p4)))))
[](p2 -> (<>p0 -> (!p0 U (p1 | (p3 & !p0 & X(!p0 U p4))))))
(<>(p3 & X<>p4)) -> ((!p3) U p0)
<>p1 -> ((!(p3 & (!p1) & X(!p1 U (p4 & !p1)))) U (p1 | p0))
([]!p2) | ((!p2) U (p2 & ((<>(p3 & X<>p4)) -> ((!p3) U p0))))
[]((p2 & <>p1) -> ((!(p3 & (!p1) & X(!p1 U (p4 & !p1)))) U (p1 | p0)))
[](p2 -> (!(p3 & (!p1) & X(!p1 U (p4 & !p1))) U (p1 | p0) | [](!(p3 & X<>p4))))
[] (p3 & X<> p4 -> X(<>(p4 & <> p0)))
<>p1 -> (p3 & X(!p1 U p4) -> X(!p1 U (p4 & <> p0))) U p1
[] (p2 -> [] (p3 & X<> p4 -> X(!p4 U (p4 & <> p0))))
[] ((p2 & <>p1) -> (p3 & X(!p1 U p4) -> X(!p1 U (p4 & <> p0))) U p1)
[] (p2 -> (p3 & X(!p1 U p4) -> X(!p1 U (p4 & <> p0))) U (p1 | [] (p3 & X(!p1 U p4) -> X(!p1 U (p4 & <> p0)))))
[] (p0 -> <>(p3 & X<>p4))
<>p1 -> (p0 -> (!p1 U (p3 & !p1 & X(!p1 U p4)))) U p1
[] (p2 -> [] (p0 -> (p3 & X<> p4)))
[] ((p2 & <>p1) -> (p0 -> (!p1 U (p3 & !p1 & X(!p1 U p4)))) U p1)
[] (p2 -> (p0 -> (!p1 U (p3 & !p1 & X(!p1 U p4)))) U (p1 | [] (p0 -> (p3 & X<> p4))))
[] (p0 -> <>(p3 & !p5 & X(!p5 U p4)))
<>p1 -> (p0 -> (!p1 U (p3 & !p1 & !p5 & X((!p1 & !p5) U p4)))) U p1
[] (p2 -> [] (p0 -> (p3 & !p5 & X(!p5 U p4))))
[] ((p2 & <>p1) -> (p0 -> (!p1 U (p3 & !p1 & !p5 & X((!p1 & !p5) U p4)))) U p1)
[] (p2 -> (p0 -> (!p1 U (p3 & !p1 & !p5 & X((!p1 & !p5) U p4)))) U (p1 | [] (p0 -> (p3 & !p5 & X(!p5 U p4)))))
!p0 U ((p0 U ((!p0 U ((p0 U ([]!p0 | []p0)) | []!p0)) | []!p0)) | []!p0)
<>p2 -> (!p2 U (p2 & (!p0 U ((p0 U ((!p0 U ((p0 U ([]!p0 | []p0)) | []!p0)) | []!p0)) | []!p0))))