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Proofgold Asset
asset id
25f292fb9dc4a06edf620191d92e622b4f47d78dee364d793354c7cbc6e7eb83
asset hash
3a1ff72e73b2ccc3e53536dbd7f740e65bef5469b9906b14ea6e9e460080af29
bday / block
34235
tx
8ec6e..
preasset
doc published by
Pr4zB..
Param
492fc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
not
not
:
ο
→
ο
Definition
f78c3..
:=
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
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
27706..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
39cca..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
27706..
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
e2fd7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
34ea6..
:=
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
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
6caea..
:=
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
)
⟶
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
2e1d5..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e5411..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2e1d5..
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
76a6c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
948b4..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
76a6c..
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
58295..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
76a6c..
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
ee178..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
4a04b..
:=
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
)
⟶
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
68a6f..
:=
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
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
5d868..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
824ef..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
8629d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
824ef..
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
Param
446f4..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
ea11f..
:=
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
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
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
2005f..
:=
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
)
⟶
not
(
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
de50b..
:=
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
⟶
x0
x2
x10
⟶
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
d92ce..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
3369f..
:=
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
)
⟶
not
(
x0
x5
x10
)
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
f9d60..
:=
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
⟶
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
ff926..
:=
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
)
⟶
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
71397..
:=
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
)
⟶
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
14be0..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
2560b..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
14be0..
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
Param
3d3e7..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
48a66..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
3d3e7..
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
289d9..
:=
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
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
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
37c80..
:=
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
⟶
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
5a5ea..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
dd8d8..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2e1d5..
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
Param
a0d70..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
c6a41..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a0d70..
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
⟶
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
c2a1e..
:=
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
)
⟶
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
15aa1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
824ef..
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
ccc6b..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
0446d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
14be0..
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
7683c..
:=
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
⟶
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
Param
076b3..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
96c77..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
076b3..
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
07f55..
:=
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
)
⟶
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
93e63..
:=
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
⟶
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
93f0f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
c222a..
:=
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
⟶
not
(
x0
x2
x10
)
⟶
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
c61bd..
:=
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
⟶
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
8f55d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
02f40..
:=
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
⟶
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
b1def..
:=
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
)
⟶
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
e68b8..
:=
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
)
⟶
not
(
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
5bc1a..
:=
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
⟶
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
8befb..
:=
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
⟶
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
Param
4818f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
8fb7c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
4818f..
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
9bc89..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
4818f..
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
⟶
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
3d118..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
4818f..
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
33b5a..
:=
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
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
a2f4a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
27706..
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
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
79b37..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
27706..
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
d833d..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2e1d5..
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
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
23d0b..
:=
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
)
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
c1005..
:=
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
)
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
61f8f..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
ab383..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
824ef..
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
856bc..
:=
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
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
788a1..
:=
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
)
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
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
3906f..
:=
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
)
⟶
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
c9658..
:=
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
)
⟶
x0
x3
x10
⟶
not
(
x0
x4
x10
)
⟶
not
(
x0
x5
x10
)
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
b72b8..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
cf898..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
0e6b2..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f5373..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
0e6b2..
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
48106..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2e1d5..
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
d4ea7..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
76a6c..
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
c1146..
:=
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
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
ca8ce..
:=
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
⟶
x0
x6
x10
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
3f609..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
076b3..
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