U101
tt
A
B
_xor_
_and_
A
B
_xor_
A
B
U11
tt
A
A
U111
tt
false
U121
tt
A
A
U131
tt
B
U'
U132
equal
_isNotEqualTo_
B
true
true
U'
U132
tt
U'
U'
U141
tt
U
U
U151
tt
V1
V2
U152
isBool
V1
V2
U152
tt
V2
U153
isBool
V2
U153
tt
tt
U161
tt
V1
V2
U162
isBool
V1
V2
U162
tt
V2
U163
isBool
V2
U163
tt
tt
U171
tt
V1
V2
U172
isBool
V1
V2
U172
tt
V2
U173
isBool
V2
U173
tt
tt
U181
tt
V1
V2
U182
isBool
V1
V2
U182
tt
V2
U183
isBool
V2
U183
tt
tt
U191
tt
V1
U192
isBool
V1
U192
tt
tt
U201
tt
A
_xor_
A
true
U21
tt
A
B
C
_xor_
_and_
A
B
_and_
A
C
U31
tt
false
U41
tt
A
A
U51
tt
A
B
not_
_xor_
A
_and_
A
B
U61
tt
U'
U
U62
equal
_isNotEqualTo_
U
U'
true
U62
tt
false
U71
tt
true
U81
tt
U'
U
if_then_else_fi
_isEqualTo_
U
U'
false
true
U91
tt
false
_and_
A
A
U11
and
isBool
A
isBoolKind
A
A
_and_
A
_xor_
B
C
U21
and
and
isBool
A
isBoolKind
A
and
and
isBool
B
isBoolKind
B
and
isBool
C
isBoolKind
C
A
B
C
_and_
false
A
U31
and
isBool
A
isBoolKind
A
_and_
true
A
U41
and
isBool
A
isBoolKind
A
A
_implies_
A
B
U51
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
_isEqualTo_
U
U'
U61
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U'
U
_isEqualTo_
U
U
U71
and
isS
U
isSKind
U
_isNotEqualTo_
U
U'
U81
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U'
U
_isNotEqualTo_
U
U
U91
and
isS
U
isSKind
U
_or_
A
B
U101
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
_xor_
A
A
U111
and
isBool
A
isBoolKind
A
_xor_
false
A
U121
and
isBool
A
isBoolKind
A
A
and
tt
X
X
equal
X
X
tt
if_then_else_fi
B
U
U'
U131
and
and
isBool
B
isBoolKind
B
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
B
U'
if_then_else_fi
true
U
U'
U141
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U
isBool
false
tt
isBool
true
tt
isBool
_and_
V1
V2
U151
and
isBoolKind
V1
isBoolKind
V2
V1
V2
isBool
_implies_
V1
V2
U161
and
isBoolKind
V1
isBoolKind
V2
V1
V2
isBool
_isEqualTo_
V1
V2
tt
isBool
_isNotEqualTo_
V1
V2
tt
isBool
_or_
V1
V2
U171
and
isBoolKind
V1
isBoolKind
V2
V1
V2
isBool
_xor_
V1
V2
U181
and
isBoolKind
V1
isBoolKind
V2
V1
V2
isBool
not_
V1
U191
isBoolKind
V1
V1
isBoolKind
false
tt
isBoolKind
true
tt
isBoolKind
_and_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_implies_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_isEqualTo_
V1
V2
tt
isBoolKind
_isNotEqualTo_
V1
V2
tt
isBoolKind
_or_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_xor_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
not_
V1
isBoolKind
V1
not_
A
U201
and
isBool
A
isBoolKind
A
A
not_
false
true
not_
true
false
_or_
_xor_
_and_
_or_
_xor_
_and_
2.2
_and_
x
_and_
y
z
_and_
_and_
x
y
z
_xor_
x
_xor_
y
z
_xor_
_xor_
x
y
z
_and_
x
y
_and_
y
x
_or_
x
y
_or_
y
x
_or_
x
_or_
y
z
_or_
_or_
x
y
z
_xor_
x
y
_xor_
y
x
_xor_
x
_xor_
y
z
_xor_
_xor_
x
y
z
_and_
x
_and_
y
z
_and_
_and_
x
y
z
_and_
x
_and_
y
z
_and_
x
y
_or_
x
_or_
y
z
_or_
x
y
_and_
x
y
_and_
y
x
_or_
x
_or_
y
z
_or_
_or_
x
y
z
_xor_
x
_xor_
y
z
_xor_
x
y
_or_
x
y
_or_
y
x
_xor_
x
y
_xor_
y
x
_xor_
false
A
and
isBool
A
isBoolKind
A
isBoolKind
_xor_
V1
V2
isBoolKind
V1
_or_
A
B
isBoolKind
A
_isEqualTo_
U
U'
and
isS
U'
isSKind
U'
_isNotEqualTo_
U
U'
and
isS
U'
isSKind
U'
U21
tt
A
B
C
_xor_
_and_
A
B
_and_
A
C
_isEqualTo_
U
U
U71
and
isS
U
isSKind
U
if_then_else_fi
true
U
U'
and
isS
U
isSKind
U
isBoolKind
_implies_
V1
V2
isBoolKind
V2
isBool
_and_
V1
V2
isBoolKind
V1
_and_
A
_xor_
B
C
isBool
B
if_then_else_fi
true
U
U'
and
isS
U'
isSKind
U'
isBoolKind
_implies_
V1
V2
isBoolKind
V1
_and_
A
_xor_
B
C
isBoolKind
C
_and_
A
_xor_
B
C
and
isBool
C
isBoolKind
C
_and_
A
_xor_
B
C
isBool
A
isBool
not_
V1
U191
isBoolKind
V1
V1
_isEqualTo_
U
U
and
isS
U
isSKind
U
isBool
_xor_
V1
V2
isBoolKind
V1
U162
tt
V2
U163
isBool
V2
isBool
_and_
V1
V2
U151
and
isBoolKind
V1
isBoolKind
V2
V1
V2
isBool
_or_
V1
V2
U171
and
isBoolKind
V1
isBoolKind
V2
V1
V2
isBoolKind
_and_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_or_
V1
V2
isBoolKind
V1
U171
tt
V1
V2
U172
isBool
V1
V2
U61
tt
U'
U
_isNotEqualTo_
U
U'
isBool
not_
V1
isBoolKind
V1
isBool
_implies_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
U101
tt
A
B
_xor_
A
B
isBoolKind
_implies_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
U152
tt
V2
U153
isBool
V2
U182
tt
V2
U183
isBool
V2
U181
tt
V1
V2
U182
isBool
V1
V2
_and_
true
A
and
isBool
A
isBoolKind
A
isBool
_implies_
V1
V2
isBoolKind
V1
U61
tt
U'
U
U62
equal
_isNotEqualTo_
U
U'
true
_implies_
A
B
isBoolKind
A
_isNotEqualTo_
U
U
U91
and
isS
U
isSKind
U
U21
tt
A
B
C
_and_
A
B
if_then_else_fi
true
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
_and_
A
_xor_
B
C
and
isBool
A
isBoolKind
A
U172
tt
V2
isBool
V2
_and_
false
A
and
isBool
A
isBoolKind
A
isBool
_xor_
V1
V2
U181
and
isBoolKind
V1
isBoolKind
V2
V1
V2
if_then_else_fi
B
U
U'
U131
and
and
isBool
B
isBoolKind
B
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
B
U'
not_
A
U201
and
isBool
A
isBoolKind
A
A
not_
A
isBool
A
_and_
A
_xor_
B
C
isBool
C
isBool
_implies_
V1
V2
U161
and
isBoolKind
V1
isBoolKind
V2
V1
V2
U171
tt
V1
V2
isBool
V1
_and_
false
A
isBoolKind
A
_and_
A
_xor_
B
C
and
isBool
B
isBoolKind
B
_xor_
A
A
isBoolKind
A
_implies_
A
B
isBool
B
_xor_
A
A
isBool
A
_implies_
A
B
U51
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
_isNotEqualTo_
U
U'
U81
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U'
U
_and_
A
A
U11
and
isBool
A
isBoolKind
A
A
U81
tt
U'
U
_isEqualTo_
U
U'
_and_
A
_xor_
B
C
isBoolKind
B
U131
tt
B
U'
U132
equal
_isNotEqualTo_
B
true
true
U'
not_
A
isBoolKind
A
_or_
A
B
isBool
B
U191
tt
V1
U192
isBool
V1
_isNotEqualTo_
U
U
and
isS
U
isSKind
U
_and_
A
_xor_
B
C
and
and
isBool
A
isBoolKind
A
and
and
isBool
B
isBoolKind
B
and
isBool
C
isBoolKind
C
_implies_
A
B
and
isBool
B
isBoolKind
B
_isNotEqualTo_
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U61
tt
U'
U
equal
_isNotEqualTo_
U
U'
true
if_then_else_fi
B
U
U'
and
and
isBool
B
isBoolKind
B
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
_and_
false
A
U31
and
isBool
A
isBoolKind
A
U152
tt
V2
isBool
V2
_or_
A
B
and
isBool
B
isBoolKind
B
isBool
_xor_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_and_
V1
V2
isBoolKind
V1
_or_
A
B
U101
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
_implies_
A
B
and
isBool
A
isBoolKind
A
_and_
false
A
isBool
A
_implies_
A
B
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
if_then_else_fi
B
U
U'
and
isS
U
isSKind
U
U51
tt
A
B
_xor_
A
_and_
A
B
_and_
A
_xor_
B
C
U21
and
and
isBool
A
isBoolKind
A
and
and
isBool
B
isBoolKind
B
and
isBool
C
isBoolKind
C
A
B
C
_and_
true
A
isBool
A
if_then_else_fi
true
U
U'
U141
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U
U101
tt
A
B
_xor_
_and_
A
B
_xor_
A
B
not_
A
and
isBool
A
isBoolKind
A
_and_
A
_xor_
B
C
isBoolKind
A
_and_
A
A
and
isBool
A
isBoolKind
A
_and_
A
_xor_
B
C
and
and
isBool
B
isBoolKind
B
and
isBool
C
isBoolKind
C
U161
tt
V1
V2
isBool
V1
_isEqualTo_
U
U'
U61
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U'
U
U162
tt
V2
isBool
V2
_and_
A
A
isBool
A
_and_
true
A
U41
and
isBool
A
isBoolKind
A
A
isBool
_and_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
_or_
A
B
isBool
A
_xor_
A
A
and
isBool
A
isBoolKind
A
U51
tt
A
B
_and_
A
B
_isEqualTo_
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
_isNotEqualTo_
U
U'
and
isS
U
isSKind
U
isBoolKind
_xor_
V1
V2
isBoolKind
V2
_or_
A
B
and
isBool
A
isBoolKind
A
U101
tt
A
B
_and_
A
B
U151
tt
V1
V2
isBool
V1
isBool
_or_
V1
V2
isBoolKind
V2
isBool
_and_
V1
V2
isBoolKind
V2
isBool
_implies_
V1
V2
isBoolKind
V2
U181
tt
V1
V2
isBool
V1
if_then_else_fi
B
U
U'
isBoolKind
B
_or_
A
B
isBoolKind
B
if_then_else_fi
B
U
U'
and
isS
U'
isSKind
U'
U151
tt
V1
V2
U152
isBool
V1
V2
U51
tt
A
B
not_
_xor_
A
_and_
A
B
U161
tt
V1
V2
U162
isBool
V1
V2
_implies_
A
B
isBoolKind
B
U201
tt
A
_xor_
A
true
_or_
A
B
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
isBoolKind
_xor_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_or_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
U21
tt
A
B
C
_and_
A
C
_implies_
A
B
isBool
A
_isEqualTo_
U
U'
and
isS
U
isSKind
U
_xor_
A
A
U111
and
isBool
A
isBoolKind
A
if_then_else_fi
B
U
U'
isBool
B
_xor_
false
A
isBool
A
U81
tt
U'
U
if_then_else_fi
_isEqualTo_
U
U'
false
true
_xor_
false
A
U121
and
isBool
A
isBoolKind
A
A
isBool
_or_
V1
V2
and
isBoolKind
V1
isBoolKind
V2
isBoolKind
_or_
V1
V2
isBoolKind
V2
isBool
_xor_
V1
V2
isBoolKind
V2
_and_
true
A
isBoolKind
A
U182
tt
V2
isBool
V2
isBool
_or_
V1
V2
isBoolKind
V1
_and_
A
A
isBoolKind
A
if_then_else_fi
B
U
U'
and
isBool
B
isBoolKind
B
U172
tt
V2
U173
isBool
V2
U131
tt
B
U'
equal
_isNotEqualTo_
B
true
true
U131
tt
B
U'
_isNotEqualTo_
B
true
_xor_
false
A
isBoolKind
A
isBoolKind
not_
V1
isBoolKind
V1
U191
tt
V1
isBool
V1
isBoolKind
_and_
V1
V2
isBoolKind
V2
if_then_else_fi
B
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
_xor_
_xor_
false
A
_1
_xor_
U121
and
isBool
A
isBoolKind
A
A
_1
_and_
_and_
true
A
_1
_and_
U41
and
isBool
A
isBoolKind
A
A
_1
_xor_
_xor_
A
A
_1
_xor_
U111
and
isBool
A
isBoolKind
A
_1
_or_
_or_
A
B
_1
_or_
U101
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
_1
_and_
_and_
A
_xor_
B
C
_1
_and_
U21
and
and
isBool
A
isBoolKind
A
and
and
isBool
B
isBoolKind
B
and
isBool
C
isBoolKind
C
A
B
C
_1
_and_
_and_
false
A
_1
_and_
U31
and
isBool
A
isBoolKind
A
_1
_and_
_and_
A
A
_1
_and_
U11
and
isBool
A
isBoolKind
A
A
_1
_implies_
A
B
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
false
_implies_
A
B
and
isBool
A
isBoolKind
A
false
U61
tt
U'
U
equal
_isNotEqualTo_
U
U'
true
false
_implies_
A
B
and
isBool
B
isBoolKind
B
false
U81
tt
U'
U
_isEqualTo_
U
U'
false
_implies_
A
B
U51
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
false
U81
tt
U'
U
if_then_else_fi
_isEqualTo_
U
U'
false
true
false
if_then_else_fi
B
U
U'
and
and
isBool
B
isBoolKind
B
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
false
if_then_else_fi
B
U
U'
and
isBool
B
isBoolKind
B
false
if_then_else_fi
B
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
false
_implies_
A
B
isBool
B
false
if_then_else_fi
B
U
U'
isBool
B
false
_isEqualTo_
U
U'
and
isS
U
isSKind
U
false
_implies_
A
B
isBool
A
false
_implies_
A
B
isBoolKind
B
false
if_then_else_fi
B
U
U'
U131
and
and
isBool
B
isBoolKind
B
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
B
U'
false
U131
tt
B
U'
U132
equal
_isNotEqualTo_
B
true
true
U'
false
U131
tt
B
U'
equal
_isNotEqualTo_
B
true
true
false
U131
tt
B
U'
_isNotEqualTo_
B
true
false
U51
tt
A
B
not_
_xor_
A
_and_
A
B
false
not_
A
U201
and
isBool
A
isBoolKind
A
A
false
U201
tt
A
_xor_
A
true
false
not_
A
isBool
A
false
not_
A
isBoolKind
A
false
if_then_else_fi
B
U
U'
and
isS
U'
isSKind
U'
false
if_then_else_fi
B
U
U'
isBoolKind
B
false
if_then_else_fi
true
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
false
_implies_
A
B
isBoolKind
A
false
U61
tt
U'
U
U62
equal
_isNotEqualTo_
U
U'
true
false
U61
tt
U'
U
_isNotEqualTo_
U
U'
false
_isNotEqualTo_
U
U
U91
and
isS
U
isSKind
U
false
_isNotEqualTo_
U
U
and
isS
U
isSKind
U
false
_isNotEqualTo_
U
U'
U81
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U'
U
false
_isNotEqualTo_
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
false
_isNotEqualTo_
U
U'
and
isS
U
isSKind
U
false
_isEqualTo_
U
U'
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
false
U51
tt
A
B
_and_
A
B
false
_or_
x
_or_
y
z
_or_
_or_
x
y
z
_or_
x
_or_
y
z
_or_
x
y
_or_
x
y
_or_
y
x
true
_or_
A
B
U101
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
A
B
false
U101
tt
A
B
_and_
A
B
false
U101
tt
A
B
_xor_
A
B
false
_or_
A
B
and
and
isBool
A
isBoolKind
A
and
isBool
B
isBoolKind
B
false
_or_
A
B
and
isBool
A
isBoolKind
A
false
_or_
A
B
isBool
A
false
_or_
A
B
and
isBool
B
isBoolKind
B
false
_or_
A
B
isBool
B
false
_or_
A
B
isBoolKind
B
false
_isEqualTo_
U
U
and
isS
U
isSKind
U
false
_isEqualTo_
U
U'
U61
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U'
U
false
if_then_else_fi
true
U
U'
and
isS
U'
isSKind
U'
false
if_then_else_fi
true
U
U'
and
isS
U
isSKind
U
false
not_
A
and
isBool
A
isBoolKind
A
false
U101
tt
A
B
_xor_
_and_
A
B
_xor_
A
B
false
_isEqualTo_
U
U
U71
and
isS
U
isSKind
U
false
_isNotEqualTo_
U
U'
and
isS
U'
isSKind
U'
false
if_then_else_fi
true
U
U'
U141
and
and
isS
U'
isSKind
U'
and
isS
U
isSKind
U
U
false
_and_
x
y
_and_
y
x
U21
tt
A
B
C
_and_
A
C
U21
tt
A
B
C
_and_
A
B
_and_
x
_and_
y
z
_and_
x
y
_and_
x
_and_
y
z
_and_
_and_
x
y
z
_and_
A
_xor_
B
C
U21
and
and
isBool
A
isBoolKind
A
and
and
isBool
B
isBoolKind
B
and
isBool
C
isBoolKind
C
A
B
C
true
Failed!
NaTT
certifiable-1.6