Search for blocks/addresses/...
Proofgold Asset
asset id
10791898b2c0a7597b2a7286c940bb96b3a4e8ee5883ca9d526ba9128b3c5116
asset hash
11a3740a90d777d20d1fcf1756900e5774eeb96df306fd5165305fc6f8eccf27
bday / block
34249
tx
fa07a..
preasset
doc published by
Pr4zB..
Param
286f8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
not
not
:
ο
→
ο
Definition
68d0b..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
286f8..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
a2b8b..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f4564..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a2b8b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
4ff4c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a2b8b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
729bd..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
b0a38..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
729bd..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
5f6ee..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
a60f8..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
5f6ee..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
78c9a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
5f6ee..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
not
(
x0
x1
x10
)
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
ab042..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
69a33..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ab042..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
723e0..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
b5965..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
723e0..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
34ae8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d7308..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
34ae8..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
79af9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
4c67f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
79af9..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
24120..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
94fe6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
24120..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
a4abc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
456a0..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a4abc..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
03a93..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a4abc..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
dcb32..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
5dfb3..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
dcb32..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
a62c3..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6410a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a62c3..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
f5da9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
08130..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
f5da9..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
aa64f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e26ca..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
aa64f..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
a3794..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
4e84e..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a3794..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
b19dd..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
33d88..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
b19dd..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
176ba..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
a4b3d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
176ba..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
915dd..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
507e8..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
915dd..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
22b3a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e0533..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
22b3a..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
6e81c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f0c46..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
6e81c..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
not
(
x0
x1
x10
)
⟶
not
(
x0
x2
x10
)
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
4e371..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
5f6ee..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
abccc..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
723e0..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
4006a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f4324..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
4006a..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
fe361..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
aa64f..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
ee178..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
ae9a0..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ee178..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
c6b73..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ee178..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
1a172..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ee178..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
not
(
x0
x1
x10
)
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
fb24f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ee178..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
cf078..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
3c996..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
cf078..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
e2fd7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
4679c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
e2fd7..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
26d71..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
e2fd7..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
446f4..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
2fe16..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
446f4..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
c331d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
446f4..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
f7902..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
24ede..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
f7902..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
654b9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6f860..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
654b9..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
d92ce..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d2465..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
d92ce..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
72e0a..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
3b3a3..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
72e0a..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
49901..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
a7aba..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
49901..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
93f0f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
90ffc..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
93f0f..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
8f55d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
3759a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
8f55d..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
58ba6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
72e0a..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
e1ba3..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
8f55d..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
70755..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
5ffcf..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
70755..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
6cb43..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ee178..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
492fc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d0208..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
492fc..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
ceccf..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
9e613..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ceccf..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
not
(
x0
x8
x10
)
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
150dd..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0fd6e..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
150dd..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
05a8c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
bdc72..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
05a8c..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
91378..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a2b8b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
62ac7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
14af1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
62ac7..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
b8539..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a2b8b..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
8198e..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
62ac7..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
x0
x5
x10
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
59632..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
2365e..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
59632..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
not
(
x0
x1
x10
)
⟶
x0
x2
x10
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
x0
x7
x10
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
c4d5c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
3a344..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
c4d5c..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
e37fb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
29a66..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
e37fb..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
x0
x3
x10
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
f14aa..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6935c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
f14aa..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
2ed56..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
5f6ee..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
not
(
x0
x2
x10
)
⟶
not
(
x0
x3
x10
)
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
d5680..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
5f6ee..
x0
x1
x2
x3
x4
x5
x6
x7
x8
x9
⟶
(
x1
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x2
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x3
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x4
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x5
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x6
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x7
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x8
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
(
x9
=
x10
⟶
∀ x12 : ο .
x12
)
⟶
x0
x1
x10
⟶
x0
x2
x10
⟶
not
(
x0
x3
x10
)
⟶
x0
x4
x10
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11