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