Search for blocks/addresses/...
Proofgold Asset
asset id
4daf98f96b26b7f0a54caecfe1895ab7341bb31f3824736d5683e4017678c8bc
asset hash
3501a4699f704ddca521d95293d65d04ebcde8e2171a49fcce15bb37f614a29b
bday / block
34233
tx
f0b51..
preasset
doc published by
Pr4zB..
Param
f14aa..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Param
not
not
:
ο
→
ο
Definition
e8fec..
:=
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
⟶
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
d8325..
:=
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
)
⟶
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
13ddc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e0b94..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
13ddc..
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
130d9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f63e8..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
130d9..
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
0788d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
251ab..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
0788d..
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
65996..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
732e2..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
65996..
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
24120..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
576d3..
:=
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
)
⟶
not
(
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
Param
58722..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
1a8a9..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
58722..
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
9ab74..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
58722..
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
093ca..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0f519..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
093ca..
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
Param
06d7e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
1dd74..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
06d7e..
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
21189..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
5932b..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
21189..
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
8c9ed..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
53b49..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
8c9ed..
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
47203..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
50a7f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
47203..
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
Definition
efbf0..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
130d9..
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
58208..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
c13a7..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
58208..
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
2122d..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
9002a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2122d..
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
4e6fe..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
62379..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
4e6fe..
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
Param
5c8a3..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
2e38c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
5c8a3..
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
)
⟶
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
02d0f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0897f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
02d0f..
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
e9fc9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
306f8..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
e9fc9..
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
2ffc8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
9ed6a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2ffc8..
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
ba015..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
fee51..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
ba015..
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
010eb..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
bae07..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
010eb..
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
cd4ee..
:=
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
)
⟶
x0
x5
x10
⟶
not
(
x0
x6
x10
)
⟶
not
(
x0
x7
x10
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
13b7c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
22563..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
13b7c..
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
87273..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
bdc7f..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
87273..
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
dfb78..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
130d9..
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
f8ada..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
58208..
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
90d0e..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d3342..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
90d0e..
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
055d9..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0f762..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
055d9..
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
b0e38..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
55451..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
b0e38..
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
f380c..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
093ca..
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
96162..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
42e23..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
96162..
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
8bcec..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
06d7e..
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
f3db6..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
1c6c9..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
f3db6..
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
1a9c5..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
754da..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
1a9c5..
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
d2a2c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
a4ce7..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
d2a2c..
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
a13f2..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
60a51..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a13f2..
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
d3618..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
ea33e..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
d3618..
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
fb26f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
9fce6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
fb26f..
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
2dac5..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0aaf4..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
2dac5..
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
a4abc..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
ce3b4..
:=
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
⟶
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
27e6e..
:=
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
)
⟶
not
(
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
a89de..
:=
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
⟶
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
Param
c7001..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f5fe1..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
c7001..
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
fd185..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Param
f51b8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
b7bfe..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
f51b8..
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
86078..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
d3618..
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
dcb32..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
d29be..
:=
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
⟶
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
5cc7a..
:=
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
)
⟶
x0
x8
x10
⟶
not
(
x0
x9
x10
)
⟶
x11
)
⟶
x11
Definition
49015..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
c7001..
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
9dea4..
:=
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
⟶
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
f0075..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
f51b8..
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
a1497..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
0a362..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
a1497..
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
Param
d2e51..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
6b1e6..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
d2e51..
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
Param
8acce..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
e9c43..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
8acce..
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
1ecf8..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
a3d78..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
1ecf8..
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
11982..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
1ecf8..
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
Param
aa64f..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
fe4dd..
:=
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
)
⟶
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
Param
c705c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
b5215..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
c705c..
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
70a3c..
:
(
ι
→
ι
→
ο
) →
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ι
→
ο
Definition
f982a..
:=
λ x0 :
ι →
ι → ο
.
λ x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 .
∀ x11 : ο .
(
70a3c..
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