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X(b U 1 U !d) U !XXX!(e & X(1 U !c))

1;1;1;e;!c;{1}

X(!X(e & Xc & a U Xe & (!Xd U 1 U e) U XX!(Xe U !c)) U !c U d)

1;d;{1}

X!(!c & 1 U b) U d U XXXe

1;1;1;e;{1}

!X(X((b & !Xb) U a) U !a) U X((e U X(a & !b)) U Xa)

1;&a!e;a;{1}

XXa & b U !b & !X(c & Xc) & !(X(!e U a) U X(b & d))

!b;|&&&!a!b!ce&&&!a!c!de;a;{1}

!(a & e) & !(!a & 1 U c & Xe U b) U c

|&c!e&!ac;{1}

X((b & !d) U (Xe & X!X(e U a)))

1;1;e;{&!ae}

X!e & !Xe

1;!e;{1}

X!X!(!X(Xe & Xd & !Xb) & !X(a & d & XXc & XX((1 U d) U Xa)))

1;1;1;|!a!d;||b!d!e;{1}

XXd U !(d U c)

&!c!d;{1}

!(XXc U Xd) U X!(e U !XXd) U a

a;{1}

!X!X(Xe & ((Xe U !c) U b) U (a & !Xe)) & (!d & X!b & Xe) U a

a;1;b;&ae;!e;{1}

X(Xd & X(e & d U X(!e U XXb)))

1;1;&de;1;1;b;{1}

X((c U XX(XX!d U (c & Xe))) U !(X!c & !(XXd U e)) U (a & c))

1;∾{1}

X!(1 U a U b & XXXXX!(!b U XXa))

1;1;1;1;1;1;1;1;a;{1}

!(!b & (a U e) U a) U c & (d U b U Xe) U (!b & Xc) U X(d U !e)

c;!e;{1}

X(d & (XX(!a U b) U !(b & !XXa)) U !(!c U c))

1;&!cd;{!c}

b & Xc & Xd & 1 U !Xa & X((a & !b) U !b)

b;&&&!a!bcd;{1}

1 U (c & e) U Xc

1;c;{1}

c & 1 U (!c & e & Xe U Xb)

c;&!ce;b;{1}

((!(1 U d) U !c) U !(!(a & !d) & X(a & XXa))) U a U a U b

b;{1}

X(!X(a & c) & XX(!a & e))

1;1;|!a!c;&!ae;{1}

X!e U X!d U d

d;{1}

!(a U X(c & !c)) & !(c & !d & e & XXa)

||!cd!e;{1}

X!X(!(d & Xc) & X(X!X(c & Xe) U X!c))

1;1;!d;1;c;c;{&c!e}

!(!d & Xd & c U b) U (a & Xd & !Xb)

a;&!bd;{1}

X!(b & a U Xb)

1;!b;{1}

XXXb U X(!e U (b & e U !b))

1;&be;!b;{1}

a & d & Xb & XXb & !X!X(!(b U e) & !(d U !X!(!a & c)))

&ad;b;&&bd!e;{|&&&abd!e&&&b!cd!e}

!XXXd U !XX(1 U !(!Xc U e))

1;1;e;{e}

1 U Xb & 1 U a U X!Xa

1;b;!a;{1}

c & X(X!XXXa U c) & !(1 U b) U !a U c

c;c;{1}

b & c & X!Xc & Xe

&bc;e;!c;{1}

1 U e & X!(d & !d & Xb) U (!a & !d)

&&!a!de;{1}

XXXXX(e & !X!XX!X(((c & !c) U d) U !X(c U XXb)) U (c & X(b & c)))

1;1;1;1;1;&ce;&bc;{1}

X(X(c & XXX!c U Xd) U (b & !((b & !Xe) U Xc)))

1;b;{&&b!c!e}

b & d & !XX!XX!(X!(!b & d) U (b U e & 1 U Xa))

&bd;1;1;1;{&!b!e}

X!X!(Xa U b U !d) U Xa

1;a;{1}

(b U (c & Xe)) U Xe

1;e;{1}

!XXd U Xd & !((!b & c & X(!Xb & !(Xd U a U c))) U X!e)

|b!c;&de;{1}

b & !XXd & !X(a & 1 U (!c & d) & !X!(d U X!b))

b;!a;!d;{1}

!X((1 U X!Xc U c) U c U a)

1;{!a}

X((Xc U X!c) U e & (c & d & !d & !(a & Xb)) U !(Xb U XXd))

1;!e;&&!bce;&!c!d;{1}

X(!(Xc & !X(Xd U !e)) U X(a & !c & !e))

1;1;&&a!c!e;{1}

X!(b & !e & XXc & !XX!(b & d & 1 U !b & XXb U a))

1;|!be;{1}

!((b & !d) U X!(Xc & !Xb & Xe U Xd))

&b!d;|!bd;|&&!bcd&&!bce;&&!bcd;{1}

X(Xb U XX(b U (a & b)))

1;1;1;&ab;{1}

X(Xd U (d & Xd) U Xe)

1;1;e;{1}

X(!X(!b & !(a & !c & X!b) & X(!c & a U !Xc) U Xd) U b)

1;b;{1}

!X(1 U X!Xe U !c U b U !(e U c))

1;{c}

XXXXe & X(!b & !c) & X!(!XXX!e & e U (e & a U e))

1;&&!b!c!e;1;1;e;{1}

!d & (X!d & !(Xa & X(!Xd U c))) U !(e U X!Xb)

&!d!e;1;b;{1}

!XX!(a & d & Xa)

1;1;&ad;a;{1}

a & X(!b & Xd) & b U e U c

∾!b;d;{1}

!b U X!XXe U Xd & !X(XX!X!X!Xd & !(!(b U a) U b U e))

1;&de;{1}

XX(c & e & Xd & XXb & !d U a & Xb U a U d & !Xc U X!a)

1;1;&&&!ac!de;&&&ab!cd;&!ab;{1}

!(!((Xa U e) U !d) & (Xc & !Xc) U (!(b & 1 U c) & X(a U X(a U Xd))))

|!d&bc;{1}

X(!a & !e & 1 U b & X!((a U Xa) U Xb))

1;&&!a!b!e;&ab;{&!a!b;&a!b}

X(X((d & Xa) U !(!c & XXe) U a) U (X(d & !XXe) & X!(b & c) U (a & Xa)))

1;a;&ad;1;!e;{1}

1 U d U b & !(e & !Xc & XX!X(1 U a & 1 U d) U Xb)

&b!e;{1}

X!X(X(Xc U c) & 1 U XX!(!(c U d) U (b & d)))

1;1;1;!c;!c;{1}

d U (!c & Xd)

!c;d;{1}

!X(Xd U 1 U c)

1;{!c}

!X(c & d) U !(Xb & !XXe) U (XXb & XXX!X!a)

1;1;b;1;a;{1}

b & X!X(X(a & e & X!Xe) & X!a U (b & !c & X!b U e))

b;1;|!bc;{1}

(c U (!b & d) & X(XX!(!Xa & X(e & Xa)) U d U e)) U c

c;{1}

e & XXX(c U Xc & X(XX!b & !X((b & d) U d)))

e;1;1;!c;c;!d;!b;{1}

b & X(d & Xd)

b;d;d;{1}

X(!a U !Xa)

1;1;!a;{1}

XX(c & X(Xe & !Xe U c)) U X!e

1;!e;{1}

c & !e U !(d U XXb)

&c!d;1;!b;{1}

X(b & d & X(!a & b))

1;&bd;&!ab;{1}

!(a & b & e & ((!a & b) U (!a & c)) U c U a & !Xc U !(Xb U Xd))

||!a!b!e;{1}

!(XX(a U d) & X(!X(b & c) U b))

1;1;{&a!d}

X(Xc & XX(!a U !(e & d U !(a & c & Xc) U !X(b U e))))

1;1;c;!e;{1}

!(!XXX!(!e & 1 U !b) U !e)

e;{e}

!(Xc & XX(X!d U !e)) & !((X(d & e) U (c & d)) U !X(a & d & Xd)) U Xa

1;∾e;{&!de}

X!((c & XX(Xd & d U a)) U (!a & !b & X!a & Xe & Xa))

{1}

X(!d & (d U e) U Xb) U !(!(1 U a) U !X(d & Xa))

1;&!de;&&!bd!e;&ab;{1}

!Xa U XX(Xd U (b & !c))

1;1;&b!c;{1}

XX(!b & 1 U !c)

1;1;&!b!c;{1}

X(c & (e & !X!Xd) U !a)

1;&!ac;{1}

!(!(d & Xe) U XX!(X(Xa U b) & X!(!Xd U e) U X((XX!b & !Xe) U e)))

d;e;1;&be;{1}

d & X!(e U d)

d;&!d!e;{1}

X(a & !c & X((X(c & Xa) U !Xd) U (b & !b & c)) U !XX(a & X!(c U d)))

1;&a!c;1;!a;{1}

XX!(!(!(e U !b) U b) & X(b U c) U X!d)

1;1;b;{1}

XX(!(!XX!Xb & X(c & X!e)) & X(X(X(c & d) U !e) U (a & d & XXb)))

1;1;1;&&a!cd;1;b;{1}

!(!(d U X!Xc) U X!Xa)

1;1;{&ac}

XXXX!(X(c & X!Xe U e U c) & !((Xe & !(Xb & Xd)) U !d U (c & e)))

1;1;1;1;&ce;{1}

b & b U d & Xe U a

&&abd;{1}

!X(XX(((b & d) U Xb) U Xb) U !b U d) U a

a;{1}

X!((!XX(c & Xd) U !c) U (a & d & e)) U !((1 U !(c & e)) U (!b & c))

&&bce;{&ce}

X(!c & a U !c)

1;!c;{1}

XX!((d U c) U Xe & X(1 U (!e & !XXa)))

1;1;&!c!d;!e;{1}

!(b & d & a U !(X(c & XXd) U X(XXX!(b & c) U Xe)))

|!b!d;{1}

X(a & (e U X(a & !d)) U Xe)

1;&ae;e;{1}

X(Xd U c) & !X(d U (b & Xc))

1;&&!bc!d;{1}

(c & !e & c U X(a U d) U !d) U !(X(!XXd U Xc) U e) U X!X!(Xb U c)

1;1;c;{1}

X(XXX!XX!(!d U d) U !(Xc & X!c))

{1}

X!(c & !d & e & X!c & !X!Xe & Xa U c & X((Xa U !d) U !d))

1;||!cd!e;{1}