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Proofgold Asset
asset id
03c020e84fd593b4d0e0a48f2e3f765973ffb0c551085931a34855a6e2ea1eb7
asset hash
9fe92b4c0916a26f2071a27cfa023663e4df512c748ead63f9a43d495570cf1e
bday / block
35144
tx
4f3ce..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
e91a3..
:
∀ x0 :
ι → ι
.
∀ x1 x2 :
ι →
ι → ι
.
∀ x3 :
ι → ι
.
∀ x4 x5 .
∀ x6 :
ι →
ι → ι
.
∀ x7 .
∀ x8 x9 :
ι → ι
.
∀ x10 x11 x12 x13 :
ι → ο
.
∀ x14 .
∀ x15 :
ι → ο
.
∀ x16 :
ι → ι
.
∀ x17 .
∀ x18 :
ι → ι
.
∀ x19 x20 x21 .
∀ x22 :
ι →
ι → ο
.
∀ x23 x24 x25 x26 :
ι → ο
.
∀ x27 :
ι →
ι → ο
.
∀ x28 :
ι → ι
.
∀ x29 .
∀ x30 :
ι →
ι → ι
.
∀ x31 x32 x33 :
ι → ο
.
∀ x34 :
ι → ι
.
∀ x35 x36 x37 :
ι → ο
.
∀ x38 x39 x40 .
∀ x41 :
ι → ο
.
∀ x42 :
ι → ι
.
∀ x43 x44 :
ι → ο
.
∀ x45 :
ι →
ι → ι
.
∀ x46 :
ι →
ι → ο
.
∀ x47 .
∀ x48 :
ι → ι
.
∀ x49 :
ι → ο
.
∀ x50 :
ι →
ι → ο
.
∀ x51 x52 .
∀ x53 :
ι → ι
.
∀ x54 :
ι →
ι →
ι → ο
.
∀ x55 .
∀ x56 :
ι → ι
.
∀ x57 x58 :
ι → ο
.
∀ x59 :
ι →
ι → ο
.
∀ x60 :
ι → ο
.
∀ x61 x62 :
ι →
ι → ο
.
∀ x63 :
ι →
ι → ι
.
∀ x64 x65 .
∀ x66 :
ι →
ι → ι
.
∀ x67 :
ι → ι
.
∀ x68 :
ι →
ι → ι
.
∀ x69 .
∀ x70 :
ι → ι
.
∀ x71 .
∀ x72 :
ι →
ι → ι
.
∀ x73 :
ι → ι
.
∀ x74 :
ι →
ι → ο
.
∀ x75 :
ι → ο
.
∀ x76 x77 :
ι → ι
.
∀ x78 x79 x80 :
ι →
ι →
ι → ι
.
∀ x81 :
ι → ο
.
(
∀ x82 x83 x84 x85 .
x81
x85
⟶
x74
x82
(
x73
x85
)
⟶
x74
x84
(
x73
x85
)
⟶
(
x75
x83
⟶
False
)
⟶
x74
x83
(
x76
(
x77
x85
)
)
⟶
(
x79
x85
x83
(
x80
x85
x82
x84
)
=
x78
x83
(
x79
x85
x83
x82
)
(
x79
x85
x83
x84
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x81
x83
⟶
x74
x82
(
x73
x83
)
⟶
(
x1
x83
x82
=
x79
x83
(
x0
x83
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x0
x82
=
x72
(
x70
x71
)
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x77
x82
=
x2
(
x72
(
x70
x71
)
x69
)
(
x72
(
x6
x5
x4
)
(
x3
x82
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x81
x84
⟶
x74
x82
(
x73
x84
)
⟶
x74
x83
(
x73
x84
)
⟶
(
x80
x84
x82
x83
=
x68
(
x68
(
x67
(
x66
x65
x64
)
)
(
x63
x84
x82
)
)
(
x63
x84
x83
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x75
x83
⟶
(
x83
=
x82
⟶
False
)
⟶
x75
x82
⟶
False
)
⟶
(
∀ x82 x83 .
x62
x82
x83
⟶
x75
x83
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x82
=
x7
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x61
x83
x82
⟶
(
x74
x83
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x74
x83
(
x76
x82
)
⟶
(
x61
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x74
x82
x83
⟶
(
x75
x83
⟶
False
)
⟶
(
x62
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x75
(
x8
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x74
(
x8
x82
)
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x75
x82
⟶
False
)
⟶
x75
(
x9
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x75
x82
⟶
False
)
⟶
(
x74
(
x9
x82
)
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x75
(
x0
x82
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x75
(
x77
x82
)
⟶
False
)
⟶
(
∀ x82 .
x75
(
x76
x82
)
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x60
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x10
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x75
x83
⟶
x74
x82
(
x76
x83
)
⟶
x59
x82
x83
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x11
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x75
x83
⟶
False
)
⟶
x74
x82
(
x76
x83
)
⟶
x75
x82
⟶
(
x59
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x58
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x75
x83
⟶
x74
x82
(
x76
x83
)
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x75
x82
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x13
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x75
x82
⟶
(
x57
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x75
(
x73
x82
)
⟶
False
)
⟶
(
∀ x82 x83 .
x81
x83
⟶
x74
x82
(
x73
x83
)
⟶
(
x74
(
x1
x83
x82
)
(
x76
(
x0
x83
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x81
x83
⟶
x74
x82
(
x73
x83
)
⟶
(
x74
(
x1
x83
x82
)
(
x76
(
x0
x83
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x74
(
x0
x82
)
(
x76
(
x77
x82
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x83
(
x76
x84
)
⟶
x74
x82
(
x76
x84
)
⟶
(
x74
(
x78
x84
x83
x82
)
(
x76
x84
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x81
x84
⟶
(
x75
x82
⟶
False
)
⟶
x74
x82
(
x76
(
x77
x84
)
)
⟶
x74
x83
(
x73
x84
)
⟶
(
x74
(
x79
x84
x82
x83
)
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x81
x84
⟶
(
x75
x82
⟶
False
)
⟶
x74
x82
(
x76
(
x77
x84
)
)
⟶
x74
x83
(
x73
x84
)
⟶
(
x74
(
x79
x84
x82
x83
)
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x81
x84
⟶
x74
x82
(
x73
x84
)
⟶
x74
x83
(
x73
x84
)
⟶
(
x74
(
x80
x84
x82
x83
)
(
x73
x84
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x83
(
x76
x84
)
⟶
x74
x82
(
x76
x84
)
⟶
(
x78
x84
x83
x82
=
x2
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x74
(
x56
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
(
x81
x14
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x83
(
x76
x84
)
⟶
x74
x82
(
x76
x84
)
⟶
(
x78
x84
x83
x83
=
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x83
(
x76
x84
)
⟶
x74
x82
(
x76
x84
)
⟶
(
x78
x84
x83
x82
=
x78
x84
x82
x83
⟶
False
)
⟶
False
)
⟶
(
x75
x71
⟶
False
)
⟶
(
x75
x4
⟶
False
)
⟶
(
x75
x5
⟶
False
)
⟶
(
x75
x65
⟶
False
)
⟶
(
(
x74
x71
x55
⟶
False
)
⟶
False
)
⟶
(
(
x74
x71
x69
⟶
False
)
⟶
False
)
⟶
(
(
x54
x71
x55
x69
⟶
False
)
⟶
False
)
⟶
(
(
x15
x71
⟶
False
)
⟶
False
)
⟶
(
(
x74
x4
x55
⟶
False
)
⟶
False
)
⟶
(
(
x74
x4
x69
⟶
False
)
⟶
False
)
⟶
(
(
x54
x4
x55
x69
⟶
False
)
⟶
False
)
⟶
(
(
x15
x4
⟶
False
)
⟶
False
)
⟶
(
(
x74
x5
x55
⟶
False
)
⟶
False
)
⟶
(
(
x74
x5
x69
⟶
False
)
⟶
False
)
⟶
(
(
x54
x5
x55
x69
⟶
False
)
⟶
False
)
⟶
(
(
x15
x5
⟶
False
)
⟶
False
)
⟶
(
(
x74
x65
x55
⟶
False
)
⟶
False
)
⟶
(
(
x74
x65
x69
⟶
False
)
⟶
False
)
⟶
(
(
x54
x65
x55
x69
⟶
False
)
⟶
False
)
⟶
(
(
x15
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x66
x83
x82
=
x6
(
x6
x83
x82
)
(
x70
x83
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x3
x82
=
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x81
x83
⟶
x74
x82
(
x73
x83
)
⟶
(
x63
x83
x82
=
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x62
x82
x83
⟶
x74
x83
(
x76
x84
)
⟶
x75
x84
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x62
x83
x84
⟶
x74
x84
(
x76
x82
)
⟶
(
x74
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x62
x83
x82
⟶
(
x74
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x2
x82
x7
=
x82
⟶
False
)
⟶
False
)
⟶
(
(
x10
x17
⟶
False
)
⟶
False
)
⟶
(
x75
x17
⟶
False
)
⟶
(
∀ x82 .
(
x75
x82
⟶
False
)
⟶
(
x59
(
x18
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x75
x82
⟶
False
)
⟶
(
x74
(
x18
x82
)
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x10
x19
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x59
(
x53
x82
)
x82
⟶
False
)
⟶
(
∀ x82 .
(
x74
(
x53
x82
)
(
x76
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x58
x52
⟶
False
)
⟶
False
)
⟶
(
(
x57
x52
⟶
False
)
⟶
False
)
⟶
(
x75
x52
⟶
False
)
⟶
(
(
x57
x20
⟶
False
)
⟶
False
)
⟶
(
x75
x20
⟶
False
)
⟶
(
(
x12
x21
⟶
False
)
⟶
False
)
⟶
(
(
x57
x51
⟶
False
)
⟶
False
)
⟶
(
x75
x51
⟶
False
)
⟶
(
∀ x82 x83 .
x57
x83
⟶
x57
x82
⟶
(
x57
(
x2
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x75
(
x3
x82
)
⟶
False
)
⟶
(
∀ x82 x83 .
x10
x83
⟶
x10
x82
⟶
(
x57
(
x6
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x10
x82
⟶
(
x57
(
x70
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x75
x83
⟶
False
)
⟶
(
x75
x82
⟶
False
)
⟶
x75
(
x72
x83
x82
)
⟶
False
)
⟶
(
∀ x82 .
x10
x82
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x12
x83
⟶
x74
x82
x83
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x75
x84
⟶
x74
x82
(
x76
(
x72
x83
x84
)
)
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x75
x84
⟶
x74
x82
(
x76
(
x72
x84
x83
)
)
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x75
x83
⟶
False
)
⟶
x74
x82
(
x76
x83
)
⟶
(
x59
x82
x83
⟶
False
)
⟶
x75
x82
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
(
x76
(
x72
x82
x83
)
)
⟶
(
x50
x84
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
(
x76
(
x72
x83
x82
)
)
⟶
(
x22
x84
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
x69
⟶
(
x57
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x57
x83
⟶
x74
x82
(
x76
x83
)
⟶
(
x57
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
(
x76
(
x72
x82
x83
)
)
⟶
(
x13
x84
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x12
x82
⟶
(
x23
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x12
x82
⟶
(
x49
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x57
x82
⟶
(
x24
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x57
x83
⟶
x74
x82
x83
⟶
(
x10
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
(
x76
x69
)
⟶
(
x57
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x60
x83
⟶
x74
x82
(
x76
x83
)
⟶
(
x60
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x25
(
x67
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x13
(
x67
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x13
x83
⟶
x25
x83
⟶
x26
x83
⟶
x13
x82
⟶
x25
x82
⟶
x26
x82
⟶
(
x26
(
x68
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x13
x83
⟶
x25
x83
⟶
x26
x83
⟶
x13
x82
⟶
x25
x82
⟶
x26
x82
⟶
(
x25
(
x68
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x13
x83
⟶
x25
x83
⟶
x26
x83
⟶
x13
x82
⟶
x25
x82
⟶
x26
x82
⟶
(
x13
(
x68
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x54
x64
x55
x69
⟶
False
)
⟶
False
)
⟶
(
(
x74
x69
(
x76
x55
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x75
(
x3
x82
)
⟶
False
)
⟶
(
∀ x82 x83 .
x81
x83
⟶
x74
x82
(
x73
x83
)
⟶
(
x27
(
x63
x83
x82
)
(
x72
x69
(
x3
x83
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x67
x82
=
x48
x82
⟶
False
)
⟶
False
)
⟶
(
(
x64
=
x7
⟶
False
)
⟶
False
)
⟶
(
(
x69
=
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x62
x82
x83
⟶
x62
x83
x82
⟶
False
)
⟶
(
∀ x82 .
(
x61
x82
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x2
x82
x82
=
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x2
x83
x82
=
x2
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x6
x83
x82
=
x6
x82
x83
⟶
False
)
⟶
False
)
⟶
(
(
x74
x7
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x11
(
x28
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x25
(
x28
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x50
(
x28
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x13
(
x28
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x12
x29
⟶
False
)
⟶
False
)
⟶
(
(
x23
x29
⟶
False
)
⟶
False
)
⟶
(
(
x49
x29
⟶
False
)
⟶
False
)
⟶
(
x75
x29
⟶
False
)
⟶
(
∀ x82 x83 .
(
x50
(
x30
x82
x83
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x22
(
x30
x83
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x13
(
x30
x82
x83
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x75
(
x30
x82
x83
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x74
(
x30
x82
x83
)
(
x76
(
x72
x83
x82
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 x85 .
x74
x85
(
x76
(
x72
x84
(
x72
x82
x83
)
)
)
⟶
(
x13
(
x16
x85
)
⟶
False
)
⟶
False
)
⟶
(
(
x12
x47
⟶
False
)
⟶
False
)
⟶
(
x75
x47
⟶
False
)
⟶
(
(
x57
x47
⟶
False
)
⟶
False
)
⟶
(
(
x58
x47
⟶
False
)
⟶
False
)
⟶
(
(
x58
x55
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x13
x84
⟶
x50
x84
x82
⟶
x13
x83
⟶
x50
x83
x82
⟶
(
x50
(
x2
x84
x83
)
x82
⟶
False
)
⟶
False
)
⟶
(
(
x31
x55
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x24
x83
⟶
x24
x82
⟶
(
x24
(
x2
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x13
x84
⟶
x22
x84
x82
⟶
x13
x83
⟶
x22
x83
x82
⟶
(
x22
(
x2
x84
x83
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
x47
⟶
(
x10
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
(
x76
x55
)
⟶
(
x31
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x49
x82
⟶
x23
x82
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x24
x82
⟶
(
x32
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x24
x83
⟶
x74
x82
(
x76
x83
)
⟶
(
x24
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x24
x83
⟶
x74
x82
x83
⟶
(
x33
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
(
x75
x84
⟶
False
)
⟶
(
x75
x82
⟶
False
)
⟶
x74
x82
(
x76
x84
)
⟶
x54
x83
x84
x82
⟶
(
x74
x83
x84
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x27
x83
x82
⟶
(
x74
x83
(
x76
(
x72
x69
x82
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x27
x83
x82
⟶
(
x26
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x27
x83
x82
⟶
(
x25
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
(
x75
x84
⟶
False
)
⟶
(
x75
x82
⟶
False
)
⟶
x74
x82
(
x76
x84
)
⟶
x74
x83
x82
⟶
(
x54
x83
x84
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
(
x75
x84
⟶
False
)
⟶
(
x75
x82
⟶
False
)
⟶
x74
x82
(
x76
x84
)
⟶
x54
x83
x84
x82
⟶
(
x74
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x46
x83
x82
⟶
(
x27
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x27
x83
x82
⟶
(
x46
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x75
x83
⟶
False
)
⟶
(
x75
x82
⟶
False
)
⟶
x74
x82
(
x76
x83
)
⟶
(
x54
(
x45
x82
x83
)
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x27
(
x34
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x32
x83
⟶
x32
x82
⟶
(
x32
(
x2
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x31
x83
⟶
x31
x82
⟶
(
x31
(
x2
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x33
x83
⟶
x33
x82
⟶
(
x24
(
x6
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x33
x82
⟶
(
x24
(
x70
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x31
x82
⟶
(
x44
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x31
x82
⟶
(
x35
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x32
x82
⟶
(
x31
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x32
x83
⟶
x74
x82
(
x76
x83
)
⟶
(
x32
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x31
x83
⟶
x74
x82
(
x76
x83
)
⟶
(
x31
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x32
x83
⟶
x74
x82
x83
⟶
(
x36
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x31
x83
⟶
x74
x82
x83
⟶
(
x43
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x46
x83
x82
⟶
(
x26
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x46
x83
x82
⟶
(
x25
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x46
x83
x82
⟶
(
x13
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x46
(
x42
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x43
x82
⟶
(
x31
(
x70
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x35
x83
⟶
x35
x82
⟶
(
x35
(