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Proofgold Asset
asset id
9cb1f822d614943610f631f99972856405f21586538402ddafbf936db87d3785
asset hash
e19841352380385574d9a61f0faabdc82e24ffec5bebc710507f09791c7663ad
bday / block
35143
tx
304a5..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
09243..
:
∀ x0 :
ι →
ι → ο
.
∀ x1 :
ι → ι
.
∀ x2 x3 :
ι →
ι → ο
.
∀ x4 :
ι → ο
.
∀ x5 :
ι → ι
.
∀ x6 :
ι →
ι →
ι → ο
.
∀ x7 :
ι →
ι → ι
.
∀ x8 :
ι → ι
.
∀ x9 :
ι →
ι →
ι → ο
.
∀ x10 .
∀ x11 :
ι → ο
.
∀ x12 x13 x14 :
ι → ι
.
∀ x15 :
ι →
ι → ο
.
∀ x16 x17 x18 :
ι → ο
.
∀ x19 .
∀ x20 :
ι →
ι → ο
.
∀ x21 .
∀ x22 x23 :
ι → ο
.
∀ x24 :
ι → ι
.
∀ x25 :
ι →
ι → ι
.
∀ x26 x27 x28 x29 :
ι → ο
.
∀ x30 .
∀ x31 :
ι →
ι → ι
.
∀ x32 x33 x34 x35 x36 x37 x38 x39 x40 x41 x42 x43 :
ι → ο
.
∀ x44 :
ι →
ι → ο
.
∀ x45 x46 .
∀ x47 x48 x49 :
ι → ο
.
∀ x50 :
ι →
ι → ι
.
∀ x51 :
ι → ι
.
∀ x52 x53 .
∀ x54 :
ι → ι
.
∀ x55 :
ι → ο
.
∀ x56 .
∀ x57 :
ι → ι
.
∀ x58 :
ι → ο
.
∀ x59 .
∀ x60 x61 :
ι → ο
.
∀ x62 x63 :
ι → ι
.
∀ x64 :
ι → ο
.
∀ x65 .
∀ x66 :
ι → ο
.
∀ x67 :
ι → ι
.
∀ x68 :
ι →
ι → ο
.
∀ x69 .
∀ x70 :
ι → ι
.
∀ x71 :
ι → ο
.
∀ x72 :
ι → ι
.
∀ x73 :
ι → ο
.
∀ x74 :
ι →
ι → ο
.
∀ x75 :
ι → ι
.
∀ x76 x77 :
ι →
ι →
ι → ο
.
∀ x78 .
∀ x79 :
ι → ο
.
(
∀ x80 x81 .
x79
x81
⟶
(
x81
=
x80
⟶
False
)
⟶
x79
x80
⟶
False
)
⟶
(
∀ x80 x81 .
x0
x80
x81
⟶
x79
x81
⟶
False
)
⟶
(
∀ x80 .
x79
x80
⟶
(
x80
=
x78
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 .
x0
x80
x81
⟶
x2
x81
(
x1
x82
)
⟶
x79
x82
⟶
False
)
⟶
(
∀ x80 x81 x82 .
x0
x81
x82
⟶
x2
x82
(
x1
x80
)
⟶
(
x2
x81
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
x3
x81
x80
⟶
(
x2
x81
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
x2
x81
(
x1
x80
)
⟶
(
x3
x81
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 x83 x84 .
x4
x84
⟶
x4
x80
⟶
x7
(
x5
x84
)
(
x8
x84
)
=
x7
(
x5
x80
)
(
x8
x80
)
⟶
x2
x81
(
x5
x84
)
⟶
x2
x83
(
x5
x80
)
⟶
x81
=
x83
⟶
x6
x84
x82
x81
⟶
(
x6
x80
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 x83 x84 .
x4
x84
⟶
x4
x80
⟶
x7
(
x5
x84
)
(
x8
x84
)
=
x7
(
x5
x80
)
(
x8
x80
)
⟶
x2
x81
(
x5
x84
)
⟶
x2
x83
(
x5
x80
)
⟶
x81
=
x83
⟶
x77
x84
x82
x81
⟶
(
x77
x80
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
x2
x80
x81
⟶
(
x79
x81
⟶
False
)
⟶
(
x0
x80
x81
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 x83 x84 x85 .
x4
x85
⟶
x4
x80
⟶
x7
(
x5
x85
)
(
x8
x85
)
=
x7
(
x5
x80
)
(
x8
x80
)
⟶
x2
x81
(
x5
x85
)
⟶
x2
x84
(
x5
x85
)
⟶
x2
x82
(
x5
x80
)
⟶
x2
x83
(
x5
x80
)
⟶
x81
=
x82
⟶
x84
=
x83
⟶
x76
x85
x81
x84
⟶
(
x76
x80
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 x83 x84 x85 .
x4
x85
⟶
x4
x80
⟶
x7
(
x5
x85
)
(
x8
x85
)
=
x7
(
x5
x80
)
(
x8
x80
)
⟶
x2
x81
(
x5
x85
)
⟶
x2
x84
(
x5
x85
)
⟶
x2
x82
(
x5
x80
)
⟶
x2
x83
(
x5
x80
)
⟶
x81
=
x82
⟶
x84
=
x83
⟶
x9
x85
x81
x84
⟶
(
x9
x80
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
x0
x81
x80
⟶
(
x2
x81
x80
⟶
False
)
⟶
False
)
⟶
(
x79
x10
⟶
False
)
⟶
(
∀ x80 .
(
x3
x80
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x11
x80
⟶
False
)
⟶
x11
(
x12
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x11
x80
⟶
False
)
⟶
(
x2
(
x12
x80
)
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
(
x11
(
x13
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
x79
(
x13
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
(
x2
(
x13
x80
)
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
(
x74
(
x75
x80
)
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
(
x2
(
x75
x80
)
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x71
x80
⟶
x79
(
x72
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x71
x80
⟶
(
x2
(
x72
x80
)
(
x1
(
x5
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x74
(
x70
x80
)
x80
⟶
False
)
⟶
(
∀ x80 .
(
x2
(
x70
x80
)
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
x79
x69
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x15
(
x14
x80
)
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x68
(
x14
x80
)
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x17
(
x14
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
x79
(
x14
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x2
(
x14
x80
)
(
x1
(
x5
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
(
x67
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x2
(
x67
x80
)
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
(
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x18
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x64
x80
⟶
False
)
⟶
x71
x80
⟶
x11
(
x63
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x64
x80
⟶
False
)
⟶
x71
x80
⟶
(
x2
(
x63
x80
)
(
x1
(
x5
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x71
x80
⟶
(
x11
(
x62
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x71
x80
⟶
x79
(
x62
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x71
x80
⟶
(
x2
(
x62
x80
)
(
x1
(
x5
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x16
x19
⟶
False
)
⟶
False
)
⟶
(
(
x61
x19
⟶
False
)
⟶
False
)
⟶
(
(
x20
x19
x10
⟶
False
)
⟶
False
)
⟶
(
(
x4
x19
⟶
False
)
⟶
False
)
⟶
(
(
x79
x21
⟶
False
)
⟶
False
)
⟶
(
(
x60
x59
⟶
False
)
⟶
False
)
⟶
(
(
x22
x59
⟶
False
)
⟶
False
)
⟶
(
(
x58
x59
⟶
False
)
⟶
False
)
⟶
(
(
x23
x59
⟶
False
)
⟶
False
)
⟶
(
(
x16
x59
⟶
False
)
⟶
False
)
⟶
(
(
x61
x59
⟶
False
)
⟶
False
)
⟶
(
(
x20
x59
x10
⟶
False
)
⟶
False
)
⟶
(
x73
x59
⟶
False
)
⟶
(
(
x4
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x15
(
x24
x80
)
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x68
(
x24
x80
)
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x2
(
x24
x80
)
(
x1
(
x5
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
x79
(
x57
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x79
x80
⟶
False
)
⟶
(
x2
(
x57
x80
)
(
x1
x80
)
⟶
False
)
⟶
False
)
⟶
(
(
x18
x56
⟶
False
)
⟶
False
)
⟶
(
x79
x56
⟶
False
)
⟶
(
∀ x80 x81 x82 .
x4
x82
⟶
x2
x80
(
x5
x82
)
⟶
x2
x81
(
x5
x82
)
⟶
x76
x82
x80
x80
⟶
False
)
⟶
(
∀ x80 x81 x82 x83 .
x2
x82
(
x1
(
x25
x83
x83
)
)
⟶
x7
x83
x82
=
x7
x81
x80
⟶
(
x82
=
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 x83 .
x2
x82
(
x1
(
x25
x83
x83
)
)
⟶
x7
x83
x82
=
x7
x80
x81
⟶
(
x83
=
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x26
x80
⟶
False
)
⟶
x4
x80
⟶
x79
(
x8
x80
)
⟶
False
)
⟶
(
∀ x80 .
x22
x80
⟶
x4
x80
⟶
(
x22
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x22
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x55
x80
⟶
False
)
⟶
x71
x80
⟶
x17
(
x5
x80
)
⟶
False
)
⟶
(
∀ x80 .
x60
x80
⟶
x4
x80
⟶
(
x60
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x60
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x55
x80
⟶
x71
x80
⟶
(
x17
(
x5
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x58
x80
⟶
x4
x80
⟶
(
x58
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x58
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x64
x80
⟶
x71
x80
⟶
(
x11
(
x5
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x23
x80
⟶
x4
x80
⟶
(
x23
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x23
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x64
x80
⟶
False
)
⟶
x71
x80
⟶
x11
(
x5
x80
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x18
(
x25
x80
x81
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x16
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x4
x80
⟶
x73
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x71
x80
⟶
x79
(
x5
x80
)
⟶
False
)
⟶
(
(
x79
x78
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x79
(
x1
x80
)
⟶
False
)
⟶
(
∀ x80 .
x73
x80
⟶
x71
x80
⟶
(
x79
(
x5
x80
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
x4
x80
⟶
(
x27
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x58
x80
⟶
x28
x80
⟶
x4
x80
⟶
(
x28
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x58
x80
⟶
x28
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x29
x80
⟶
x4
x80
⟶
(
x29
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x29
x80
⟶
x4
x80
⟶
(
x61
(
x7
(
x5
x80
)
(
x8
x80
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x79
x81
⟶
False
)
⟶
(
x79
x80
⟶
False
)
⟶
x79
(
x25
x81
x80
)
⟶
False
)
⟶
(
∀ x80 .
(
x2
(
x54
x80
)
x80
⟶
False
)
⟶
False
)
⟶
(
(
x71
x30
⟶
False
)
⟶
False
)
⟶
(
(
x4
x53
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x2
(
x8
x80
)
(
x1
(
x25
(
x5
x80
)
(
x5
x80
)
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x79
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x71
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
x2
x81
(
x1
(
x25
x80
x80
)
)
⟶
(
x4
(
x7
x80
x81
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
x2
x81
(
x1
(
x25
x80
x80
)
)
⟶
(
x61
(
x7
x80
x81
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x73
x81
⟶
False
)
⟶
x16
x81
⟶
x4
x81
⟶
x2
x80
(
x5
x81
)
⟶
x6
x81
(
x51
x81
)
x80
⟶
x9
x81
(
x50
x80
x81
)
x80
⟶
(
x49
x81
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x73
x81
⟶
False
)
⟶
x16
x81
⟶
x4
x81
⟶
x2
x80
(
x5
x81
)
⟶
x6
x81
(
x51
x81
)
x80
⟶
(
x6
x81
(
x51
x81
)
(
x50
x80
x81
)
⟶
False
)
⟶
(
x49
x81
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x73
x81
⟶
False
)
⟶
x16
x81
⟶
x4
x81
⟶
x2
x80
(
x5
x81
)
⟶
x6
x81
(
x51
x81
)
x80
⟶
(
x2
(
x50
x80
x81
)
(
x5
x81
)
⟶
False
)
⟶
(
x49
x81
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
(
x2
(
x51
x80
)
(
x1
(
x5
x80
)
)
⟶
False
)
⟶
(
x49
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x4
x80
⟶
x79
(
x51
x80
)
⟶
(
x49
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 x82 .
(
x73
x82
⟶
False
)
⟶
x16
x82
⟶
x4
x82
⟶
x49
x82
⟶
(
x79
x81
⟶
False
)
⟶
x2
x81
(
x1
(
x5
x82
)
)
⟶
x2
x80
(
x5
x82
)
⟶
x6
x82
x81
x80
⟶
(
x9
x82
x80
(
x31
x81
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x73
x81
⟶
False
)
⟶
x16
x81
⟶
x4
x81
⟶
x49
x81
⟶
(
x79
x80
⟶
False
)
⟶
x2
x80
(
x1
(
x5
x81
)
)
⟶
(
x6
x81
x80
(
x31
x80
x81
)
⟶
False
)
⟶
False
)
⟶
(
∀ x80 x81 .
(
x73
x81
⟶
False
)
⟶
x16
x81
⟶
x4
x81
⟶
x49
x81
⟶
(
x79
x80
⟶
False
)
⟶
x2
x80
(
x1
(
x5
x81
)
)
⟶
(
x2
(
x31
x80
x81
)
(
x5
x81
)
⟶
False
)
⟶
False
)
⟶
(
(
x78
=
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
x20
x80
x78
⟶
(
x73
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
x73
x80
⟶
(
x20
x80
x78
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x35
x80
⟶
x32
x80
⟶
x33
x80
⟶
(
x34
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x35
x80
⟶
x32
x80
⟶
x33
x80
⟶
(
x58
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x35
x80
⟶
x32
x80
⟶
x33
x80
⟶
(
x23
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x35
x80
⟶
x32
x80
⟶
x33
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x35
x80
⟶
x32
x80
⟶
x33
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
(
x55
x80
⟶
False
)
⟶
x64
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x32
x80
⟶
x37
x80
⟶
(
x36
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x32
x80
⟶
x37
x80
⟶
(
x37
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x32
x80
⟶
x37
x80
⟶
(
x58
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x32
x80
⟶
x37
x80
⟶
(
x23
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x32
x80
⟶
x37
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x32
x80
⟶
x37
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x34
x80
⟶
x32
x80
⟶
(
x33
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x34
x80
⟶
x32
x80
⟶
(
x35
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x34
x80
⟶
x32
x80
⟶
(
x58
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x34
x80
⟶
x32
x80
⟶
(
x23
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x34
x80
⟶
x32
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x34
x80
⟶
x32
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x64
x80
⟶
x16
x80
⟶
(
x37
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x64
x80
⟶
x16
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x64
x80
⟶
x16
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
x64
x80
⟶
(
x55
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x40
x80
⟶
x39
x80
⟶
(
x38
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x40
x80
⟶
x22
x80
⟶
x29
x80
⟶
x36
x80
⟶
(
x48
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x40
x80
⟶
x22
x80
⟶
x29
x80
⟶
x36
x80
⟶
(
x22
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x40
x80
⟶
x22
x80
⟶
x29
x80
⟶
x36
x80
⟶
(
x40
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x40
x80
⟶
x22
x80
⟶
x29
x80
⟶
x36
x80
⟶
(
x58
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x40
x80
⟶
x22
x80
⟶
x29
x80
⟶
x36
x80
⟶
(
x23
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x40
x80
⟶
x22
x80
⟶
x29
x80
⟶
x36
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x29
x80
⟶
x47
x80
⟶
(
x33
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x29
x80
⟶
x47
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x29
x80
⟶
x47
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 x81 .
x11
x81
⟶
x2
x80
(
x1
x81
)
⟶
(
x11
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
(
x55
x80
⟶
False
)
⟶
x55
x80
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
(
x55
x80
⟶
False
)
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x38
x80
⟶
(
x39
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x38
x80
⟶
(
x40
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x64
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
(
x27
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x64
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
(
x60
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x64
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
(
x22
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x64
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
(
x58
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x64
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
(
x23
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x64
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x48
x80
⟶
(
x36
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x48
x80
⟶
(
x29
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x48
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x48
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x33
x80
⟶
(
x47
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x33
x80
⟶
(
x29
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x33
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x33
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 x81 .
x79
x81
⟶
x2
x80
(
x1
x81
)
⟶
x74
x80
x81
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
x73
x80
⟶
(
x55
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x71
x80
⟶
x73
x80
⟶
(
x73
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x79
x80
⟶
x18
x80
⟶
(
x66
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x79
x80
⟶
x18
x80
⟶
(
x18
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x16
x80
⟶
x26
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x32
x80
⟶
(
x38
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
(
x73
x80
⟶
False
)
⟶
x32
x80
⟶
x73
x80
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
(
x28
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
(
x60
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
(
x22
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
(
x58
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
(
x23
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x16
x80
⟶
x23
x80
⟶
x58
x80
⟶
x22
x80
⟶
x60
x80
⟶
x27
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x20
x80
x10
⟶
x16
x80
⟶
(
x36
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x20
x80
x10
⟶
x16
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x20
x80
x10
⟶
x16
x80
⟶
(
x20
x80
x10
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x20
x80
x10
⟶
x16
x80
⟶
(
x47
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x20
x80
x10
⟶
x16
x80
⟶
(
x16
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x80 .
x4
x80
⟶
x20
x80
x10
⟶
x16
x80
⟶
(