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Proofgold Asset
asset id
6ee0ff1429453a2d29c6d0c257e6afa6cc1576457a6fdd5db3d4fc911c8b0ed2
asset hash
18cdf93064f9cd46ad0f7a3f1b0c058540c309e7a5b13da3fd4da4d87e80f219
bday / block
34268
tx
87864..
preasset
doc published by
Pr4zB..
Param
a89de..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
not
not
:
ο
→
ο
Definition
40920..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
a89de..
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
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
4f588..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d17b7..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
4f588..
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
43d0f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 .
∀ x13 : ο .
(
d17b7..
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
)
⟶
not
(
x0
x1
x12
)
⟶
not
(
x0
x2
x12
)
⟶
x0
x3
x12
⟶
not
(
x0
x4
x12
)
⟶
not
(
x0
x5
x12
)
⟶
not
(
x0
x6
x12
)
⟶
x0
x7
x12
⟶
x0
x8
x12
⟶
not
(
x0
x9
x12
)
⟶
not
(
x0
x10
x12
)
⟶
x0
x11
x12
⟶
x13
)
⟶
x13
Definition
ed6d2..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
4f588..
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
0118b..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 .
∀ x13 : ο .
(
ed6d2..
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
)
⟶
not
(
x0
x1
x12
)
⟶
not
(
x0
x2
x12
)
⟶
x0
x3
x12
⟶
not
(
x0
x4
x12
)
⟶
not
(
x0
x5
x12
)
⟶
not
(
x0
x6
x12
)
⟶
x0
x7
x12
⟶
x0
x8
x12
⟶
not
(
x0
x9
x12
)
⟶
not
(
x0
x10
x12
)
⟶
x0
x11
x12
⟶
x13
)
⟶
x13
Param
6e201..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
59d98..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6e201..
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
Param
6d791..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0dd76..
:=
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
)
⟶
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
6f07c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f7297..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6f07c..
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
Definition
f3db1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 .
∀ x13 : ο .
(
f7297..
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
)
⟶
not
(
x0
x1
x12
)
⟶
x0
x2
x12
⟶
not
(
x0
x3
x12
)
⟶
not
(
x0
x4
x12
)
⟶
not
(
x0
x5
x12
)
⟶
not
(
x0
x6
x12
)
⟶
not
(
x0
x7
x12
)
⟶
x0
x8
x12
⟶
not
(
x0
x9
x12
)
⟶
not
(
x0
x10
x12
)
⟶
x0
x11
x12
⟶
x13
)
⟶
x13
Param
f98b7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
940a6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
f98b7..
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
Param
9e253..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
580d8..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
9e253..
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
)
⟶
x0
x4
x11
⟶
not
(
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
b019a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
04c7a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
b019a..
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
⟶
x0
x4
x11
⟶
not
(
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
60dbb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
8e334..
:=
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
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
5d868..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
7c6aa..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
5d868..
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
⟶
x0
x4
x11
⟶
not
(
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
f9d60..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
38607..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
f9d60..
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
b1def..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
077c6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
b1def..
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
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
d4ea7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6a2c7..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
d4ea7..
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
)
⟶
x0
x4
x11
⟶
not
(
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
33102..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
01042..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
33102..
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
)
⟶
not
(
x0
x8
x11
)
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
48a69..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6d769..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
48a69..
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
⟶
x0
x4
x11
⟶
not
(
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
a56d9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0c718..
:=
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
⟶
x0
x4
x11
⟶
not
(
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
5f015..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
25ef3..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
5f015..
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
⟶
x0
x4
x11
⟶
not
(
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
3906f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
fa706..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
3906f..
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
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
not
(
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
e5296..
:=
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
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
not
(
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
36e22..
:=
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
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
b8ed0..
:=
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
)
⟶
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
44299..
:=
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
)
⟶
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
e9a2b..
:=
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
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
d1f25..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 .
∀ x13 : ο .
(
e9a2b..
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
)
⟶
x0
x3
x12
⟶
not
(
x0
x4
x12
)
⟶
x0
x5
x12
⟶
not
(
x0
x6
x12
)
⟶
not
(
x0
x7
x12
)
⟶
x0
x8
x12
⟶
not
(
x0
x9
x12
)
⟶
not
(
x0
x10
x12
)
⟶
not
(
x0
x11
x12
)
⟶
x13
)
⟶
x13
Definition
7e591..
:=
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
)
⟶
x0
x4
x11
⟶
not
(
x0
x5
x11
)
⟶
x0
x6
x11
⟶
not
(
x0
x7
x11
)
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Param
03a93..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
aa284..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
03a93..
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
6410a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
ba6f3..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6410a..
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
33d88..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
dafd9..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
33d88..
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
507e8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
546aa..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
507e8..
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
)
⟶
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
c6b73..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
1f676..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
c6b73..
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
6f860..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0a50a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6f860..
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
d2465..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
380c0..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
d2465..
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
e1ba3..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
9e687..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
e1ba3..
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
⟶
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
d7308..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
4cf61..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
d7308..
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
)
⟶
x0
x7
x11
⟶
x0
x8
x11
⟶
not
(
x0
x9
x11
)
⟶
not
(
x0
x10
x11
)
⟶
x12
)
⟶
x12
Definition
6c968..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
6410a..
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
33f3e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6fe5f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 .
∀ x12 : ο .
(
33f3e..
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