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Proofgold Asset
asset id
90b146d3b6ad24bdb2b21b8651da8aa9d6e7b5bd3b6cea5171a9a987997adbb0
asset hash
8265602ef34e84361414d26b93b4ec8656dfada0f179b18245d529ed78485411
bday / block
34268
tx
2906e..
preasset
doc published by
Pr4zB..
Param
ca8ce..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
not
not
:
ο
→
ο
Definition
d10a3..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
ca8ce..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
9eb9c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e1502..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
9eb9c..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
not
(
x0
x2
x11
)
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
788a1..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
cb091..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
788a1..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
d9cea..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e4d18..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
d9cea..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
a56d9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e9c3a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
a56d9..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
f8fdb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
c34cb..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
f8fdb..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
66dda..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
805ab..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
66dda..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
4d434..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
f8fdb..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
6f746..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
42ad9..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6f746..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
x0
x7
x11
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
6d791..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
fe1c4..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6d791..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
x0
x7
x11
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
99903..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
61a95..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
99903..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
5f61d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
99903..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
47dfa..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
b5d0d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
47dfa..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
01336..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
47dfa..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
d6df6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
99903..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
cc2aa..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
92541..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
cc2aa..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
1ccbe..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
672d9..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
1ccbe..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
73f56..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
7fb8b..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
73f56..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
e5a83..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
92a6c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
e5a83..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
e5b49..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
54502..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
e5b49..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
94275..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
ce66c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
94275..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
ac9f0..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 .
∀ x13 : ο .
(
ce66c..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
x11
⟶
(
x1
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x2
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x3
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x4
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x5
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x6
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x7
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x8
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x9
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x10
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x11
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
x0
x1
x12
⟶
not
(
x0
x2
x12
)
⟶
not
(
x0
x3
x12
)
⟶
not
(
x0
x4
x12
)
⟶
not
(
x0
x5
x12
)
⟶
x0
x6
x12
⟶
not
(
x0
x7
x12
)
⟶
not
(
x0
x8
x12
)
⟶
not
(
x0
x9
x12
)
⟶
not
(
x0
x10
x12
)
⟶
x0
x11
x12
⟶
x13
)
⟶
x13
Definition
28caf..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
e5b49..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
6d19b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
5a896..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6d19b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
x0
x4
x11
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
27efe..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
99903..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
518d7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6e10f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
518d7..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
99ac9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
244e1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
99ac9..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
x0
x4
x11
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
3c675..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
10c44..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
3c675..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
x0
x4
x11
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
c3712..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
cac90..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
c3712..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
68d0b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f45e1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
68d0b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
x0
x9
x11
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
9a447..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
68d0b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
x0
x9
x11
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
d09d5..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
99903..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
x0
x9
x11
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
87daf..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6c310..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
87daf..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
x0
x9
x11
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
60dbb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
59ef4..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
60dbb..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
x0
x1
x11
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
x0
x10
x11
⟶
x12
)
⟶
x12
Definition
9f2b5..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 .
∀ x13 : ο .
(
59ef4..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
x11
⟶
(
x1
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x2
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x3
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x4
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x5
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x6
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x7
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x8
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x9
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x10
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
(
x11
=
x12
⟶
∀ x14 : ο .
x14
)
⟶
x0
x1
x12
⟶
x0
x2
x12
⟶
not
(
x0
x3
x12
)
⟶
not
(
x0
x4
x12
)
⟶
x0
x5
x12
⟶
not
(
x0
x6
x12
)
⟶
not
(
x0
x7
x12
)
⟶
not
(
x0
x8
x12
)
⟶
not
(
x0
x9
x12
)
⟶
not
(
x0
x10
x12
)
⟶
not
(
x0
x11
x12
)
⟶
x13
)
⟶
x13
Param
4e84e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6157c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
4e84e..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
x0
x10
x11
⟶
x12
)
⟶
x12
Param
f0c46..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6a2f1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
f0c46..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
x0
x2
x11
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
x0
x5
x11
⟶
not
(
x0
x6
x11
)
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
x0
x10
x11
⟶
x12
)
⟶
x12
Param
34ea6..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d246f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
34ea6..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
not
(
x0
x2
x11
)
⟶
x0
x3
x11
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
not
(
x0
x8
x11
)
⟶
x0
x9
x11
⟶
x0
x10
x11
⟶
x12
)
⟶
x12
Param
2e38c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
a81fb..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
2e38c..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
⟶
(
x1
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x2
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x3
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x4
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x5
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x6
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x7
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x8
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x9
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
(
x10
=
x11
⟶
∀ x13 : ο .
x13
)
⟶
not
(
x0
x1
x11
)
⟶
not
(
x0
x2
x11
)
⟶
not
(
x0
x3
x11
)
⟶
not
(
x0
x4
x11
)
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
x0
x7
x11
⟶
not
(
x0
x8
x11
)
⟶
x0
x9
x11
⟶
x0
x10
x11
⟶
x12
)
⟶
x12