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Proofgold Asset
asset id
13f8109103e85b8e512d9b712e01cc22f3c002ca0e6b609a601577f899cc4d9e
asset hash
ca11a1523abe2f8322915d250e86f84b6934aadef8c1afbf28f0c5295dbb9843
bday / block
35141
tx
81fab..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
54bfa..
:
∀ x0 :
ι → ο
.
∀ x1 :
ι →
ι → ο
.
∀ x2 .
∀ x3 :
ι →
ι → ι
.
∀ x4 :
ι → ο
.
∀ x5 :
ι → ι
.
∀ x6 x7 :
ι →
ι → ο
.
∀ x8 x9 .
∀ x10 :
ι →
ι →
ι → ο
.
∀ x11 x12 x13 .
∀ x14 :
ι → ο
.
∀ x15 .
∀ x16 :
ι → ο
.
∀ x17 x18 x19 .
∀ x20 :
ι → ο
.
∀ x21 .
∀ x22 :
ι → ο
.
∀ x23 x24 x25 x26 .
∀ x27 :
ι → ι
.
∀ x28 x29 :
ι →
ι → ι
.
∀ x30 x31 :
ι → ο
.
∀ x32 x33 .
∀ x34 x35 x36 x37 :
ι → ο
.
∀ x38 :
ι → ι
.
∀ x39 x40 :
ι → ο
.
∀ x41 x42 x43 x44 x45 x46 .
∀ x47 :
ι → ο
.
∀ x48 .
∀ x49 :
ι → ο
.
∀ x50 .
∀ x51 :
ι → ο
.
∀ x52 x53 .
∀ x54 x55 :
ι → ι
.
∀ x56 x57 :
ι → ο
.
∀ x58 x59 x60 .
∀ x61 x62 :
ι → ο
.
∀ x63 :
ι →
ι → ο
.
∀ x64 :
ι → ο
.
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
(
x61
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x0
x66
⟶
(
x66
=
x65
⟶
False
)
⟶
x0
x65
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x61
x66
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x65
x66
⟶
x0
x66
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x0
x66
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x4
x65
⟶
(
x63
x66
x2
⟶
False
)
⟶
x63
(
x3
x66
x65
)
x2
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x65
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x1
x65
x66
⟶
x6
x66
(
x5
x67
)
⟶
x0
x67
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x0
x65
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x1
x66
x67
⟶
x6
x67
(
x5
x65
)
⟶
(
x6
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x61
x65
⟶
False
)
⟶
x61
x66
⟶
False
)
⟶
(
∀ x65 x66 .
x7
x66
x65
⟶
(
x6
x66
(
x5
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x6
x66
(
x5
x65
)
⟶
(
x7
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x62
x66
⟶
False
)
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 x66 .
x6
x65
x66
⟶
(
x0
x66
⟶
False
)
⟶
(
x1
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
x62
x65
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x66
x65
⟶
(
x6
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
x61
x66
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
(
x6
x60
x59
⟶
False
)
⟶
False
)
⟶
(
(
x6
x9
x8
⟶
False
)
⟶
False
)
⟶
(
(
x6
x9
x58
⟶
False
)
⟶
False
)
⟶
(
(
x10
x9
x8
x58
⟶
False
)
⟶
False
)
⟶
(
(
x0
x9
⟶
False
)
⟶
False
)
⟶
(
(
x63
x9
x9
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x57
x66
⟶
x57
x65
⟶
(
x63
x66
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x7
x65
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x6
x65
(
x5
x67
)
⟶
x6
x66
x65
⟶
(
x10
x66
x67
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x6
x65
(
x5
x67
)
⟶
x10
x66
x67
x65
⟶
(
x6
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x2
=
x60
⟶
False
)
⟶
False
)
⟶
(
(
x58
=
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x54
x65
=
x55
x65
⟶
False
)
⟶
False
)
⟶
(
(
x4
x11
⟶
False
)
⟶
False
)
⟶
(
x0
x11
⟶
False
)
⟶
(
(
x57
x12
⟶
False
)
⟶
False
)
⟶
(
(
x0
x12
⟶
False
)
⟶
False
)
⟶
(
(
x64
x13
⟶
False
)
⟶
False
)
⟶
(
(
x57
x13
⟶
False
)
⟶
False
)
⟶
(
(
x14
x13
⟶
False
)
⟶
False
)
⟶
(
(
x0
x13
⟶
False
)
⟶
False
)
⟶
(
(
x4
x15
⟶
False
)
⟶
False
)
⟶
(
(
x62
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x53
⟶
False
)
⟶
False
)
⟶
(
(
x64
x52
⟶
False
)
⟶
False
)
⟶
(
(
x62
x52
⟶
False
)
⟶
False
)
⟶
(
(
x57
x52
⟶
False
)
⟶
False
)
⟶
(
(
x14
x52
⟶
False
)
⟶
False
)
⟶
(
(
x51
x50
⟶
False
)
⟶
False
)
⟶
(
(
x16
x50
⟶
False
)
⟶
False
)
⟶
(
x0
x50
⟶
False
)
⟶
(
(
x61
x17
⟶
False
)
⟶
False
)
⟶
(
(
x57
x17
⟶
False
)
⟶
False
)
⟶
(
(
x64
x18
⟶
False
)
⟶
False
)
⟶
(
(
x61
x18
⟶
False
)
⟶
False
)
⟶
(
(
x57
x18
⟶
False
)
⟶
False
)
⟶
(
(
x14
x18
⟶
False
)
⟶
False
)
⟶
(
x0
x19
⟶
False
)
⟶
(
(
x49
x48
⟶
False
)
⟶
False
)
⟶
(
(
x20
x21
⟶
False
)
⟶
False
)
⟶
(
(
x47
x21
⟶
False
)
⟶
False
)
⟶
(
(
x22
x21
⟶
False
)
⟶
False
)
⟶
(
x0
x21
⟶
False
)
⟶
(
(
x20
x23
⟶
False
)
⟶
False
)
⟶
(
x0
x23
⟶
False
)
⟶
(
(
x6
x23
(
x5
x8
)
⟶
False
)
⟶
False
)
⟶
(
(
x16
x46
⟶
False
)
⟶
False
)
⟶
(
x0
x46
⟶
False
)
⟶
(
(
x56
x45
⟶
False
)
⟶
False
)
⟶
(
(
x57
x24
⟶
False
)
⟶
False
)
⟶
(
(
x64
x44
⟶
False
)
⟶
False
)
⟶
(
(
x0
x25
⟶
False
)
⟶
False
)
⟶
(
(
x49
x43
⟶
False
)
⟶
False
)
⟶
(
(
x64
x43
⟶
False
)
⟶
False
)
⟶
(
(
x14
x43
⟶
False
)
⟶
False
)
⟶
(
(
x57
x43
⟶
False
)
⟶
False
)
⟶
(
(
x6
x43
x8
⟶
False
)
⟶
False
)
⟶
(
(
x20
x26
⟶
False
)
⟶
False
)
⟶
(
(
x16
x42
⟶
False
)
⟶
False
)
⟶
(
x0
x42
⟶
False
)
⟶
(
(
x56
x41
⟶
False
)
⟶
False
)
⟶
(
(
x64
x41
⟶
False
)
⟶
False
)
⟶
(
(
x14
x41
⟶
False
)
⟶
False
)
⟶
(
(
x57
x41
⟶
False
)
⟶
False
)
⟶
(
(
x6
x41
x8
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x54
(
x54
x65
)
=
x54
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x14
x65
⟶
(
x55
(
x55
x65
)
=
x55
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x14
x65
⟶
(
x27
(
x27
x65
)
=
x65
⟶
False
)
⟶
False
)
⟶
(
x40
x8
⟶
False
)
⟶
(
∀ x65 .
x49
x65
⟶
(
x49
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x49
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x20
x59
⟶
False
)
⟶
False
)
⟶
(
x0
x59
⟶
False
)
⟶
(
(
x16
x59
⟶
False
)
⟶
False
)
⟶
(
(
x51
x59
⟶
False
)
⟶
False
)
⟶
(
(
x51
x8
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x4
x66
⟶
x4
x65
⟶
(
x4
(
x3
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x14
x66
⟶
x4
x65
⟶
(
x14
(
x3
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x39
x8
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x27
x65
)
⟶
False
)
⟶
(
∀ x65 .
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x56
x65
⟶
(
x64
(
x28
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x4
x65
⟶
(
x64
(
x3
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x62
x65
⟶
x64
x65
⟶
(
x62
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x62
x65
⟶
x64
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x27
x65
)
⟶
False
)
⟶
(
∀ x65 .
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x61
x65
⟶
x64
x65
⟶
(
x61
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x61
x65
⟶
x64
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x49
x65
⟶
(
x49
(
x55
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x49
x65
⟶
(
x64
(
x55
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x64
(
x55
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x4
(
x55
x65
)
⟶
False
)
⟶
False
)
⟶
(
x0
x8
⟶
False
)
⟶
(
∀ x65 x66 .
(
x0
x66
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x6
x65
(
x5
x66
)
⟶
(
x10
(
x29
x65
x66
)
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x6
(
x38
x65
)
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x6
x65
(
x5
x67
)
⟶
x10
x66
x67
x65
⟶
(
x6
x66
x67
⟶
False
)
⟶
False
)
⟶
(
(
x10
x2
x8
x58
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x14
x65
⟶
(
x14
(
x27
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x6
x58
(
x5
x8
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x6
(
x54
x65
)
x58
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x14
x65
⟶
(
x64
(
x55
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x56
x65
⟶
(
x63
x2
x65
⟶
False
)
⟶
(
x28
x66
x65
=
x27
(
x3
x66
(
x54
x65
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x56
x65
⟶
x63
x2
x65
⟶
(
x28
x66
x65
=
x3
x66
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x57
x66
⟶
x57
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x63
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x37
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x6
x65
x59
⟶
(
x4
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x6
x65
(
x5
x8
)
⟶
(
x39
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
x57
x65
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
x57
x65
⟶
x61
x65
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
x57
x65
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x4
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x57
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x57
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x20
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
x62
x65
⟶
x61
x65
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
x62
x65
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
x62
x65
⟶
x0
x65
⟶
False
)
⟶
(
∀ x65 x66 .
x20
x66
⟶
x6
x65
x66
⟶
(
x20
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x39
x65
⟶
(
x36
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x57
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x57
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x35
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x39
x65
⟶
(
x30
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
x61
x65
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
x61
x65
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x57
x65
⟶
x61
x65
⟶
x0
x65
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x14
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x20
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x4
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x31
x65
⟶
(
x39
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x56
x65
⟶
(
x49
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x22
x65
⟶
x47
x65
⟶
(
x20
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x6
x65
x58
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 .
x34
x65
⟶
(
x31
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x56
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x51
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x6
x65
x58
⟶
(
x16
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x16
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x16
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x34
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x34
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x31
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x31
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x39
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x39
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x30
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x30
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x6
x65
x8
⟶
(
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x49
x65
⟶
(
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x20
x65
⟶
(
x47
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x20
x65
⟶
(
x22
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x4
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x4
x65
⟶
(
x20
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x16
x65
⟶
(
x34
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x36
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x36
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x16
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x16
x66
⟶
x6
x65
x66
⟶
(
x4
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x34
x66
⟶
x6
x65
x66
⟶
(
x56
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x31
x66
⟶
x6
x65
x66
⟶
(
x49
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x39
x66
⟶
x6
x65
x66
⟶
(
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x30
x66
⟶
x6
x65
x66
⟶
(
x57
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x36
x66
⟶
x6
x65
x66
⟶
(
x14
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x6
x65
(
x5
x58
)
⟶
(
x16
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x37
x66
⟶
x6
x65
(
x5
x66
)
⟶
(
x37
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x65
x66
⟶
x1
x66
x65
⟶
False
)
⟶
(
(
x63
(
x28
x33
x32
)
x2
⟶
False
)
⟶
False
)
⟶
(
x63
x33
x2
⟶
False
)
⟶
(
(
x56
x32
⟶
False
)
⟶
False
)
⟶
(
(
x64
x33
⟶
False
)
⟶
False
)
⟶
False
(proof)