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Proofgold Asset
asset id
8cd412978ab7610f48286d10c3fb9fa70812005ffb7eba4a3b7582033c8574f6
asset hash
38f9ac4a2ec81175abceb114df40098f9be2569f1ba3f84cd4b7250bcfbf1f4f
bday / block
33921
tx
11e0f..
preasset
doc published by
PrDsC..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
cd3d8..
t5_radix_1
:
∀ x0 :
ι →
ι → ο
.
∀ x1 :
ι → ο
.
∀ x2 .
∀ x3 :
ι → ο
.
∀ x4 :
ι →
ι → ο
.
∀ x5 :
ι → ι
.
∀ x6 :
ι →
ι →
ι → ο
.
∀ x7 :
ι →
ι → ι
.
∀ x8 .
∀ x9 x10 :
ι →
ι → ι
.
∀ x11 x12 :
ι → ο
.
∀ x13 :
ι →
ι → ο
.
∀ x14 x15 :
ι →
ι → ι
.
∀ x16 x17 x18 :
ι → ο
.
∀ x19 :
ι → ι
.
∀ x20 :
ι → ο
.
∀ x21 :
ι →
ι → ο
.
∀ x22 :
ι → ι
.
∀ x23 :
ι → ο
.
∀ x24 x25 x26 x27 x28 x29 .
∀ x30 :
ι → ι
.
∀ x31 .
∀ x32 :
ι → ο
.
∀ x33 x34 x35 x36 x37 x38 x39 x40 x41 x42 x43 x44 x45 x46 x47 x48 x49 .
∀ x50 x51 x52 :
ι → ο
.
∀ x53 x54 .
∀ x55 :
ι → ι
.
∀ x56 x57 x58 x59 x60 x61 x62 :
ι → ο
.
∀ x63 :
ι →
ι → ο
.
∀ x64 :
ι →
ι → ι
.
∀ x65 :
ι → ι
.
∀ x66 x67 :
ι → ο
.
∀ x68 :
ι → ι
.
∀ x69 .
∀ x70 :
ι →
ι → ι
.
∀ x71 .
∀ x72 x73 x74 x75 x76 x77 :
ι →
ι → ι
.
∀ x78 :
ι → ο
.
∀ x79 x80 x81 :
ι →
ι → ι
.
∀ x82 :
ι → ο
.
(
∀ x83 x84 x85 x86 .
(
x79
(
x80
(
x81
x85
x86
)
(
x81
x84
x86
)
)
(
x81
x83
x86
)
=
x81
(
x79
(
x80
x85
x84
)
x83
)
x86
⟶
False
)
⟶
x82
x86
⟶
x82
x83
⟶
x82
x84
⟶
x82
x85
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x0
x84
x85
⟶
False
)
⟶
(
x0
x83
x2
⟶
False
)
⟶
x1
x84
⟶
x1
x85
⟶
x1
x83
⟶
x0
(
x81
x84
x83
)
(
x81
x85
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x77
(
x75
x84
(
x76
x83
x84
)
)
(
x74
x83
x84
)
=
x83
⟶
False
)
⟶
(
x0
x84
x2
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x3
x85
⟶
False
)
⟶
(
x3
x83
⟶
False
)
⟶
(
x4
x84
x83
⟶
False
)
⟶
x6
x84
x83
x85
⟶
x4
x85
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x3
x85
⟶
False
)
⟶
(
x3
x83
⟶
False
)
⟶
(
x4
x84
x85
⟶
False
)
⟶
x6
x84
x83
x85
⟶
x4
x85
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x0
x84
x85
⟶
False
)
⟶
x1
x85
⟶
x1
x83
⟶
x1
x84
⟶
x0
(
x79
x84
x83
)
(
x79
x85
x83
)
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x0
x84
x85
⟶
False
)
⟶
x1
x85
⟶
x1
x83
⟶
x1
x84
⟶
x0
(
x80
x84
x83
)
(
x80
x85
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x7
x83
(
x75
x84
(
x76
x83
x84
)
)
=
x74
x83
x84
⟶
False
)
⟶
(
x0
x84
x2
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x85
=
x2
⟶
False
)
⟶
(
x74
(
x74
x84
(
x73
x85
x83
)
)
x83
=
x74
x84
x83
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
x78
x85
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x80
(
x73
x83
x85
)
(
x73
x84
x85
)
=
x73
(
x80
x83
x84
)
x85
⟶
False
)
⟶
x82
x85
⟶
x82
x84
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x3
x84
⟶
False
)
⟶
(
x3
x83
⟶
False
)
⟶
(
x6
(
x72
x83
x84
)
x83
x84
⟶
False
)
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x3
x85
⟶
False
)
⟶
(
x3
x83
⟶
False
)
⟶
(
x6
x84
x85
x83
⟶
False
)
⟶
x4
x84
x83
⟶
x4
x83
(
x5
x85
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x6
(
x70
x84
x83
)
x69
x71
⟶
False
)
⟶
x4
x83
x71
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x84
=
x2
⟶
False
)
⟶
(
x83
=
x2
⟶
False
)
⟶
(
x73
x83
(
x10
x83
(
x9
x84
x8
)
)
=
x10
x83
x84
⟶
False
)
⟶
x78
x84
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x0
(
x79
x84
x85
)
(
x79
x83
x85
)
⟶
False
)
⟶
x1
x85
⟶
x1
x83
⟶
x1
x84
⟶
x0
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x0
(
x80
x84
x85
)
(
x80
x83
x85
)
⟶
False
)
⟶
x1
x85
⟶
x1
x83
⟶
x1
x84
⟶
x0
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x6
(
x75
x83
x84
)
x69
x71
⟶
False
)
⟶
x78
x83
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x6
(
x77
x84
x83
)
x69
x71
⟶
False
)
⟶
x78
x83
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x73
(
x73
x83
x84
)
x85
=
x73
x83
(
x73
x84
x85
)
⟶
False
)
⟶
x82
x85
⟶
x82
x84
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x80
(
x80
x83
x84
)
x85
=
x80
x83
(
x80
x84
x85
)
⟶
False
)
⟶
x82
x85
⟶
x82
x84
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x81
(
x73
x83
x84
)
x85
=
x73
x83
(
x81
x84
x85
)
⟶
False
)
⟶
x82
x85
⟶
x82
x84
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x0
x84
x2
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
x0
x84
(
x74
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x0
x84
x2
⟶
False
)
⟶
x78
x83
⟶
x1
x84
⟶
x0
(
x10
x84
x83
)
x2
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x0
x84
x85
⟶
False
)
⟶
x11
x85
⟶
x11
x83
⟶
x11
x84
⟶
x0
x83
x85
⟶
x0
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
x83
=
x68
x84
⟶
x1
x84
⟶
x67
x83
⟶
x0
x83
(
x7
x84
x8
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x83
=
x68
x84
⟶
False
)
⟶
(
x0
x83
(
x7
x84
x8
)
⟶
False
)
⟶
x1
x84
⟶
x67
x83
⟶
x0
x83
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
(
x80
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
(
x81
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
(
x73
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x66
(
x79
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x66
(
x81
x84
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x66
(
x81
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x12
(
x79
x84
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
(
x73
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
(
x73
x84
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
(
x81
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
(
x73
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
(
x80
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x80
(
x65
x84
)
(
x65
x83
)
=
x65
(
x80
x84
x83
)
⟶
False
)
⟶
x82
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 x85 .
(
x4
x84
x85
⟶
False
)
⟶
x13
x84
x83
⟶
x4
x83
(
x5
x85
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x70
x84
x83
=
x10
x84
x83
⟶
False
)
⟶
x4
x83
x71
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x3
x84
⟶
False
)
⟶
x78
x84
⟶
x78
x83
⟶
x3
(
x80
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x3
x84
⟶
False
)
⟶
x78
x84
⟶
x78
x83
⟶
x3
(
x80
x84
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x4
(
x7
x83
x84
)
x69
⟶
False
)
⟶
x1
x83
⟶
x4
x84
x69
⟶
False
)
⟶
(
∀ x83 x84 x85 .
x3
x85
⟶
x13
x84
x83
⟶
x4
x83
(
x5
x85
)
⟶
False
)
⟶
(
∀ x83 x84 .
x1
x84
⟶
x1
x83
⟶
x12
(
x14
x83
x84
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x68
(
x81
x84
x83
)
=
x64
x84
x83
⟶
False
)
⟶
x67
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x84
=
x2
⟶
False
)
⟶
(
x81
(
x73
x83
x84
)
x84
=
x83
⟶
False
)
⟶
x82
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x66
(
x79
x83
x84
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x12
(
x79
x84
x83
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x12
(
x80
x83
x84
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
(
x12
(
x80
x84
x83
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
(
x79
x84
x83
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
(
x80
x83
x84
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
(
x80
x84
x83
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x12
(
x79
x83
x84
)
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x7
x83
x84
=
x79
x83
x84
⟶
False
)
⟶
x1
x83
⟶
x4
x84
x69
⟶
False
)
⟶
(
∀ x83 x84 .
(
x75
x83
x84
=
x73
x83
x84
⟶
False
)
⟶
x78
x83
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x75
x83
x84
=
x75
x84
x83
⟶
False
)
⟶
x78
x83
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x77
x84
x83
=
x80
x84
x83
⟶
False
)
⟶
x78
x83
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x77
x84
x83
=
x77
x83
x84
⟶
False
)
⟶
x78
x83
⟶
x4
x84
x71
⟶
False
)
⟶
(
∀ x83 x84 .
(
x79
(
x65
x84
)
(
x65
x83
)
=
x79
x83
x84
⟶
False
)
⟶
x82
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x4
(
x76
x84
x83
)
x71
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x4
(
x9
x84
x83
)
x71
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x4
(
x74
x84
x83
)
x71
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x3
x84
⟶
False
)
⟶
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x0
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x3
x84
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
(
x66
x84
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x0
x83
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
x83
⟶
x0
x83
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x66
x84
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
x66
x83
⟶
x0
x83
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x12
x83
⟶
x0
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
x12
x83
⟶
x0
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x80
x84
(
x65
x83
)
=
x79
x84
x83
⟶
False
)
⟶
x82
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x63
x84
x83
⟶
False
)
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
x13
x83
x84
⟶
x13
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x67
(
x79
x84
x83
)
⟶
False
)
⟶
x67
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x67
(
x15
x84
x83
)
⟶
False
)
⟶
x67
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x67
(
x64
x84
x83
)
⟶
False
)
⟶
x67
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x67
(
x73
x84
x83
)
⟶
False
)
⟶
x67
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x67
(
x80
x84
x83
)
⟶
False
)
⟶
x67
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x14
x84
x83
)
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x14
x84
x83
)
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x79
x84
x83
)
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x81
x84
x83
)
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x73
x84
x83
)
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x80
x84
x83
)
⟶
False
)
⟶
x1
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
(
x10
x84
x83
)
⟶
False
)
⟶
x78
x83
⟶
x1
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x82
(
x10
x84
x83
)
⟶
False
)
⟶
x78
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x78
(
x73
x84
x83
)
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x78
(
x80
x84
x83
)
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x78
(
x10
x84
x83
)
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x62
x84
⟶
False
)
⟶
x62
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x16
x84
⟶
False
)
⟶
x16
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x61
x84
⟶
False
)
⟶
x61
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x17
x84
⟶
False
)
⟶
x17
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x60
x84
⟶
False
)
⟶
x60
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x18
x84
⟶
False
)
⟶
x18
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x59
x84
⟶
False
)
⟶
x59
x83
⟶
x4
x84
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 x84 .
(
x0
x83
x84
⟶
False
)
⟶
(
x0
x84
x83
⟶
False
)
⟶
x11
x83
⟶
x11
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x4
x84
(
x5
x83
)
⟶
False
)
⟶
x63
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x14
x84
x83
=
x9
x84
x83
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x15
x84
x83
=
x74
x84
x83
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x64
x84
x83
=
x76
x84
x83
⟶
False
)
⟶
x78
x83
⟶
x78
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x73
x84
x83
=
x73
x83
x84
⟶
False
)
⟶
x82
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x80
x84
x83
=
x80
x83
x84
⟶
False
)
⟶
x82
x83
⟶
x82
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x3
x84
⟶
False
)
⟶
(
x13
x83
x84
⟶
False
)
⟶
x4
x83
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
(
x0
x83
x84
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x12
x84
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
(
x0
x83
x84
⟶
False
)
⟶
x1
x84
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x0
x84
x83
⟶
False
)
⟶
x84
=
x68
x83
⟶
x1
x83
⟶
x67
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x4
x84
x83
⟶
False
)
⟶
x13
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x67
x84
⟶
False
)
⟶
x62
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x58
x84
⟶
False
)
⟶
x16
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x1
x84
⟶
False
)
⟶
x61
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x11
x84
⟶
False
)
⟶
x17
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x82
x84
⟶
False
)
⟶
x60
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x57
x84
⟶
False
)
⟶
x59
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x78
x84
⟶
False
)
⟶
x18
x83
⟶
x4
x84
x83
⟶
False
)
⟶
(
∀ x83 .
(
x61
x83
⟶
False
)
⟶
x4
x83
(
x5
x69
)
⟶
False
)
⟶
(
∀ x83 .
(
x18
x83
⟶
False
)
⟶
x4
x83
(
x5
x71
)
⟶
False
)
⟶
(
∀ x83 .
(
x56
x83
⟶
False
)
⟶
(
x4
(
x55
x83
)
(
x5
x83
)
⟶
False
)
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
(
x4
(
x19
x83
)
(
x5
x83
)
⟶
False
)
⟶
False
)
⟶
(
∀ x83 x84 .
x3
x84
⟶
x13
x83
x84
⟶
False
)
⟶
(
∀ x83 x84 .
(
x0
x84
x84
⟶
False
)
⟶
x11
x83
⟶
x11
x84
⟶
False
)
⟶
(
∀ x83 .
(
x66
x83
⟶
False
)
⟶
x1
x83
⟶
x12
(
x65
x83
)
⟶
False
)
⟶
(
∀ x83 .
(
x12
x83
⟶
False
)
⟶
x1
x83
⟶
x66
(
x65
x83
)
⟶
False
)
⟶
(
∀ x83 .
(
x73
x83
(
x65
x8
)
=
x65
x83
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x21
(
x22
x83
)
x83
⟶
False
)
⟶
x20
x83
⟶
False
)
⟶
(
∀ x83 .
x12
x83
⟶
x4
x83
x71
⟶
False
)
⟶
(
∀ x83 .
x3
x83
⟶
x21
x83
x8
⟶
False
)
⟶
(
∀ x83 .
(
x56
x83
⟶
False
)
⟶
x4
x83
x54
⟶
False
)
⟶
(
∀ x83 .
(
x1
x83
⟶
False
)
⟶
x4
x83
x69
⟶
False
)
⟶
(
∀ x83 .
(
x18
x83
⟶
False
)
⟶
x4
x83
x71
⟶
False
)
⟶
(
∀ x83 .
(
x23
x83
⟶
False
)
⟶
x21
x83
x8
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
x21
x83
x53
⟶
False
)
⟶
(
∀ x83 .
(
x78
x83
⟶
False
)
⟶
x13
x83
x54
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
(
x21
x83
x8
⟶
False
)
⟶
x23
x83
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
(
x21
(
x19
x83
)
x8
⟶
False
)
⟶
False
)
⟶
(
∀ x83 .
(
x66
x83
⟶
False
)
⟶
(
x82
(
x65
x83
)
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x12
x83
⟶
False
)
⟶
(
x82
(
x65
x83
)
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x68
(
x68
x83
)
=
x68
x83
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
x11
x83
⟶
x12
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 .
x11
x83
⟶
x12
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 .
x3
x83
⟶
x11
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 .
x3
x83
⟶
x11
x83
⟶
x66
x83
⟶
False
)
⟶
(
∀ x83 .
x3
x83
⟶
x11
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 .
x3
x83
⟶
x11
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 .
(
x56
x83
⟶
False
)
⟶
x56
(
x55
x83
)
⟶
False
)
⟶
(
∀ x83 .
(
x56
x83
⟶
False
)
⟶
x56
(
x5
x83
)
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x11
x83
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x11
x83
⟶
False
)
⟶
(
∀ x83 .
(
x3
x83
⟶
False
)
⟶
(
x12
x83
⟶
False
)
⟶
(
x66
x83
⟶
False
)
⟶
x11
x83
⟶
False
)
⟶
(
∀ x83 .
(
x73
x8
x83
=
x83
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x79
x83
x2
=
x83
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x81
x83
x8
=
x83
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x80
x83
x2
=
x83
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x21
x83
x53
⟶
False
)
⟶
x3
x83
⟶
False
)
⟶
(
∀ x83 .
(
x13
x83
x54
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x81
x2
x83
=
x2
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x73
x83
x2
=
x2
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x78
x83
⟶
False
)
⟶
x52
x83
⟶
x56
x83
⟶
False
)
⟶
(
∀ x83 .
(
x65
(
x65
x83
)
=
x83
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 .
(
x67
(
x65
x83
)
⟶
False
)
⟶
x67
x83
⟶
False
)
⟶
(
∀ x83 .
(
x67
(
x68
x83
)
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x1
(
x65
x83
)
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x82
(
x65
x83
)
⟶
False
)
⟶
x67
x83
⟶
False
)
⟶
(
∀ x83 .
(
x82
(
x65
x83
)
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x82
(
x65
x83
)
⟶
False
)
⟶
x82
x83
⟶
False
)
⟶
(
∀ x83 x84 .
(
x84
=
x83
⟶
False
)
⟶
x3
x83
⟶
x3
x84
⟶
False
)
⟶
(
∀ x83 .
x78
x83
⟶
x12
x83
⟶
False
)
⟶
(
∀ x83 .
(
x51
x83
⟶
False
)
⟶
x59
x83
⟶
False
)
⟶
(
∀ x83 .
(
x56
x83
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x50
x83
⟶
False
)
⟶
x3
x83
⟶
False
)
⟶
(
∀ x83 .
(
x52
x83
⟶
False
)
⟶
x20
x83
⟶
False
)
⟶
(
∀ x83 .
(
x52
x83
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x20
x83
⟶
False
)
⟶
x3
x83
⟶
False
)
⟶
(
∀ x83 .
(
x20
x83
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x67
x83
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x62
x83
⟶
False
)
⟶
x18
x83
⟶
False
)
⟶
(
∀ x83 .
(
x16
x83
⟶
False
)
⟶
x62
x83
⟶
False
)
⟶
(
∀ x83 .
(
x1
x83
⟶
False
)
⟶
x67
x83
⟶
False
)
⟶
(
∀ x83 .
(
x1
x83
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x61
x83
⟶
False
)
⟶
x16
x83
⟶
False
)
⟶
(
∀ x83 .
(
x11
x83
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x11
x83
⟶
False
)
⟶
x78
x83
⟶
False
)
⟶
(
∀ x83 .
(
x17
x83
⟶
False
)
⟶
x61
x83
⟶
False
)
⟶
(
∀ x83 .
(
x82
x83
⟶
False
)
⟶
x1
x83
⟶
False
)
⟶
(
∀ x83 .
(
x60
x83
⟶
False
)
⟶
x61
x83
⟶
False
)
⟶
(
∀ x83 .
(
x18
x83
⟶
False
)
⟶
x3
x83
⟶
False
)
⟶
(
∀ x83 .
(
x59
x83
⟶
False
)
⟶
x3
x83
⟶
False
)
⟶
(
∀ x83 .
(
x83
=
x53
⟶
False
)
⟶
x3
x83
⟶
False
)
⟶
(
x0
(
x81
x8
x25
)
x24
⟶
False
)
⟶
(
x0
x25
(
x81
x8
x25
)
⟶
False
)
⟶
(
x0
x8
(
x81
x8
x25
)
⟶
False
)
⟶
(
x0
(
x65
x8
)
(
x65
x25
)
⟶
False
)
⟶
(
x0
x25
(
x65
x25
)
⟶
False
)
⟶
(
x0
x25
(
x65
x8
)
⟶
False
)
⟶
(
x0
x24
(
x65
x25
)
⟶
False
)
⟶
(
x0
x24
(
x65
x8
)
⟶
False
)
⟶
(
x0
x8
(
x65
x25
)
⟶
False
)
⟶
(
x0
x8
(
x65
x8
)
⟶
False
)
⟶
(
x0
x25
x24
⟶
False
)
⟶
(
x0
x25
x8
⟶
False
)
⟶
(
x0
x8
x24
⟶
False
)
⟶
(
x56
x49
⟶
False
)
⟶
(