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Proofgold Asset
asset id
cf9e1b6da56db6ead17e726d4a72ec303a1737c5b5d98c2dddaed95dc72626dd
asset hash
c00ed1d3ed1a7d9249695c10bcd17fda49540892a7b1e8ac1ab5f66244a23e03
bday / block
35146
tx
37f9e..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
498e5..
:
∀ x0 x1 :
ι → ο
.
∀ x2 .
∀ x3 :
ι →
ι → ι
.
∀ x4 .
∀ x5 :
ι → ο
.
∀ x6 .
∀ x7 :
ι → ο
.
∀ x8 :
ι →
ι → ι
.
∀ x9 .
∀ x10 x11 :
ι →
ι → ο
.
∀ x12 x13 x14 x15 .
∀ x16 x17 x18 :
ι → ο
.
∀ x19 .
∀ x20 :
ι → ο
.
∀ x21 x22 x23 .
∀ x24 :
ι →
ι → ο
.
∀ x25 x26 .
∀ x27 x28 :
ι → ι
.
∀ x29 :
ι →
ι → ο
.
∀ x30 :
ι → ο
.
∀ x31 x32 .
∀ x33 :
ι → ο
.
∀ x34 :
ι → ι
.
∀ x35 :
ι →
ι → ι
.
∀ x36 :
ι → ο
.
∀ x37 .
∀ x38 x39 :
ι →
ι → ι
.
∀ x40 x41 .
∀ x42 :
ι → ο
.
∀ x43 x44 x45 .
∀ x46 :
ι →
ι → ο
.
∀ x47 :
ι → ι
.
∀ x48 :
ι → ο
.
∀ x49 x50 .
∀ x51 x52 :
ι → ι
.
∀ x53 .
∀ x54 :
ι →
ι →
ι → ο
.
∀ x55 .
∀ x56 :
ι →
ι → ι
.
∀ x57 .
∀ x58 x59 :
ι →
ι →
ι → ι
.
∀ x60 :
ι →
ι →
ι → ο
.
∀ x61 x62 :
ι →
ι → ο
.
∀ x63 :
ι → ι
.
∀ x64 .
∀ x65 :
ι → ι
.
∀ x66 :
ι → ο
.
∀ x67 :
ι →
ι → ο
.
∀ x68 x69 :
ι → ο
.
∀ x70 :
ι →
ι → ο
.
∀ x71 :
ι → ο
.
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
(
x70
x73
x72
⟶
False
)
⟶
(
x69
x72
⟶
False
)
⟶
(
x68
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x0
x73
⟶
(
x73
=
x72
⟶
False
)
⟶
x0
x72
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
(
x70
x73
x72
⟶
False
)
⟶
(
x68
x73
⟶
False
)
⟶
(
x69
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x1
x73
⟶
x1
x72
⟶
(
x70
x72
x73
⟶
False
)
⟶
(
x70
(
x3
x73
x2
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x67
x72
x73
⟶
x0
x73
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
x70
x73
x72
⟶
(
x0
x73
⟶
False
)
⟶
(
x68
x72
⟶
False
)
⟶
(
x69
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
x70
(
x65
x72
)
x64
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
(
x72
=
x4
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x67
x72
x73
⟶
x62
x73
(
x63
x74
)
⟶
x0
x74
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
x70
x73
x72
⟶
(
x0
x72
⟶
False
)
⟶
(
x69
x73
⟶
False
)
⟶
(
x68
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x67
x73
x74
⟶
x62
x74
(
x63
x72
)
⟶
(
x62
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
x70
x73
x72
⟶
(
x68
x72
⟶
False
)
⟶
x68
x73
⟶
False
)
⟶
(
∀ x72 x73 .
x61
x73
x72
⟶
(
x62
x73
(
x63
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x62
x73
(
x63
x72
)
⟶
(
x61
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
x70
x73
x72
⟶
(
x69
x73
⟶
False
)
⟶
x69
x72
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x5
x74
⟶
x5
x72
⟶
x5
x73
⟶
x70
x74
x72
⟶
x70
x72
x73
⟶
(
x70
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x62
x72
x73
⟶
(
x0
x73
⟶
False
)
⟶
(
x67
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
x70
x73
x72
⟶
x69
x72
⟶
(
x69
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x66
x74
⟶
x66
x72
⟶
x70
x2
x72
⟶
x66
x73
⟶
x60
x72
x73
x74
⟶
(
x73
=
x58
x72
x74
(
x59
x74
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x67
x73
x72
⟶
(
x62
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
x70
x73
x72
⟶
x68
x73
⟶
(
x68
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
x70
x6
x72
⟶
x70
(
x65
x72
)
x6
⟶
False
)
⟶
(
(
x62
x4
x57
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x7
x72
⟶
(
x8
x72
x64
=
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x66
x72
⟶
x70
x2
x73
⟶
x70
x2
x72
⟶
(
x70
x73
(
x56
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x7
x74
⟶
x7
x72
⟶
x7
x73
⟶
(
x8
(
x8
x74
x72
)
x73
=
x8
x74
(
x8
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x62
x6
x55
⟶
False
)
⟶
False
)
⟶
(
(
x62
x6
x9
⟶
False
)
⟶
False
)
⟶
(
(
x54
x6
x55
x9
⟶
False
)
⟶
False
)
⟶
(
(
x68
x6
⟶
False
)
⟶
False
)
⟶
(
x0
x6
⟶
False
)
⟶
(
(
x62
x2
x55
⟶
False
)
⟶
False
)
⟶
(
(
x62
x2
x9
⟶
False
)
⟶
False
)
⟶
(
(
x54
x2
x55
x9
⟶
False
)
⟶
False
)
⟶
(
(
x68
x2
⟶
False
)
⟶
False
)
⟶
(
x0
x2
⟶
False
)
⟶
(
(
x62
x53
x55
⟶
False
)
⟶
False
)
⟶
(
(
x62
x53
x9
⟶
False
)
⟶
False
)
⟶
(
(
x54
x53
x55
x9
⟶
False
)
⟶
False
)
⟶
(
(
x0
x53
⟶
False
)
⟶
False
)
⟶
(
(
x8
x6
x53
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x8
x2
x2
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x8
x2
x53
=
x2
⟶
False
)
⟶
False
)
⟶
(
(
x8
x53
x6
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x8
x53
x2
=
x2
⟶
False
)
⟶
False
)
⟶
(
(
x8
x53
x53
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x70
x6
x6
⟶
False
)
⟶
False
)
⟶
(
x70
x6
x2
⟶
False
)
⟶
(
x70
x6
x53
⟶
False
)
⟶
(
(
x70
x2
x6
⟶
False
)
⟶
False
)
⟶
(
(
x70
x2
x2
⟶
False
)
⟶
False
)
⟶
(
x70
x2
x53
⟶
False
)
⟶
(
(
x70
x53
x6
⟶
False
)
⟶
False
)
⟶
(
(
x70
x53
x2
⟶
False
)
⟶
False
)
⟶
(
(
x70
x53
x53
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x5
x73
⟶
x5
x72
⟶
(
x70
x73
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x61
x72
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
(
x0
x74
⟶
False
)
⟶
(
x0
x72
⟶
False
)
⟶
x62
x72
(
x63
x74
)
⟶
x62
x73
x72
⟶
(
x54
x73
x74
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
(
x0
x74
⟶
False
)
⟶
(
x0
x72
⟶
False
)
⟶
x62
x72
(
x63
x74
)
⟶
x54
x73
x74
x72
⟶
(
x62
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x11
x73
x72
⟶
(
x10
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x10
x73
x72
⟶
(
x11
x73
x72
⟶
False
)
⟶
False
)
⟶
(
(
x64
=
x4
⟶
False
)
⟶
False
)
⟶
(
(
x9
=
x57
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x62
x72
x55
⟶
(
x3
x73
x72
=
x8
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
(
x51
x72
=
x52
x72
⟶
False
)
⟶
False
)
⟶
(
(
x66
x12
⟶
False
)
⟶
False
)
⟶
(
x0
x12
⟶
False
)
⟶
(
(
x5
x13
⟶
False
)
⟶
False
)
⟶
(
(
x0
x13
⟶
False
)
⟶
False
)
⟶
(
(
x71
x14
⟶
False
)
⟶
False
)
⟶
(
(
x5
x14
⟶
False
)
⟶
False
)
⟶
(
(
x7
x14
⟶
False
)
⟶
False
)
⟶
(
(
x0
x14
⟶
False
)
⟶
False
)
⟶
(
(
x66
x15
⟶
False
)
⟶
False
)
⟶
(
(
x69
x50
⟶
False
)
⟶
False
)
⟶
(
(
x5
x50
⟶
False
)
⟶
False
)
⟶
(
(
x71
x49
⟶
False
)
⟶
False
)
⟶
(
(
x69
x49
⟶
False
)
⟶
False
)
⟶
(
(
x5
x49
⟶
False
)
⟶
False
)
⟶
(
(
x7
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x48
(
x47
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x16
(
x47
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x46
(
x47
x72
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x17
(
x47
x72
)
⟶
False
)
⟶
False
)
⟶
(
(
x68
x45
⟶
False
)
⟶
False
)
⟶
(
(
x5
x45
⟶
False
)
⟶
False
)
⟶
(
(
x71
x44
⟶
False
)
⟶
False
)
⟶
(
(
x68
x44
⟶
False
)
⟶
False
)
⟶
(
(
x5
x44
⟶
False
)
⟶
False
)
⟶
(
(
x7
x44
⟶
False
)
⟶
False
)
⟶
(
x0
x43
⟶
False
)
⟶
(
(
x18
x19
⟶
False
)
⟶
False
)
⟶
(
(
x42
x19
⟶
False
)
⟶
False
)
⟶
(
(
x20
x19
⟶
False
)
⟶
False
)
⟶
(
x0
x19
⟶
False
)
⟶
(
(
x18
x21
⟶
False
)
⟶
False
)
⟶
(
x0
x21
⟶
False
)
⟶
(
(
x62
x21
(
x63
x55
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
x41
⟶
False
)
⟶
False
)
⟶
(
(
x5
x22
⟶
False
)
⟶
False
)
⟶
(
(
x71
x40
⟶
False
)
⟶
False
)
⟶
(
(
x0
x23
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x46
(
x39
x72
x73
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x24
(
x39
x73
x72
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x17
(
x39
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x0
(
x39
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x62
(
x39
x72
x73
)
(
x63
(
x38
x73
x72
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x18
x25
⟶
False
)
⟶
False
)
⟶
(
(
x1
x37
⟶
False
)
⟶
False
)
⟶
(
(
x71
x37
⟶
False
)
⟶
False
)
⟶
(
(
x7
x37
⟶
False
)
⟶
False
)
⟶
(
(
x5
x37
⟶
False
)
⟶
False
)
⟶
(
(
x62
x37
x55
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x69
x73
⟶
False
)
⟶
x71
x73
⟶
(
x69
x72
⟶
False
)
⟶
x71
x72
⟶
x69
(
x8
x73
x72
)
⟶
False
)
⟶
(
x36
x55
⟶
False
)
⟶
(
(
x18
x57
⟶
False
)
⟶
False
)
⟶
(
x0
x57
⟶
False
)
⟶
(
x36
x26
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x71
x72
⟶
(
x71
(
x8
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
x0
x26
⟶
False
)
⟶
(
∀ x72 x73 .
x66
x73
⟶
x66
x72
⟶
(
x66
(
x56
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x66
x73
⟶
(
x0
x72
⟶
False
)
⟶
x66
x72
⟶
x0
(
x8
x72
x73
)
⟶
False
)
⟶
(
∀ x72 x73 .
x7
x73
⟶
x66
x72
⟶
(
x7
(
x56
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x66
x73
⟶
(
x0
x72
⟶
False
)
⟶
x66
x72
⟶
x0
(
x8
x73
x72
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x66
x72
⟶
(
x71
(
x56
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
x4
⟶
False
)
⟶
False
)
⟶
(
x0
x55
⟶
False
)
⟶
(
∀ x72 x73 .
x66
x73
⟶
x66
x72
⟶
(
x66
(
x8
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x1
x73
⟶
x1
x72
⟶
(
x1
(
x8
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x69
x73
⟶
x71
x73
⟶
(
x68
x72
⟶
False
)
⟶
x71
x72
⟶
(
x69
(
x8
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x69
x73
⟶
x71
x73
⟶
(
x68
x72
⟶
False
)
⟶
x71
x72
⟶
(
x69
(
x8
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x68
x73
⟶
x71
x73
⟶
(
x69
x72
⟶
False
)
⟶
x71
x72
⟶
(
x68
(
x8
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x68
x73
⟶
x71
x73
⟶
(
x69
x72
⟶
False
)
⟶
x71
x72
⟶
(
x68
(
x8
x73
x72
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x68
x73
⟶
False
)
⟶
x71
x73
⟶
(
x68
x72
⟶
False
)
⟶
x71
x72
⟶
x68
(
x8
x73
x72
)
⟶
False
)
⟶
(
∀ x72 x73 .
(
x0
x73
⟶
False
)
⟶
(
x0
x72
⟶
False
)
⟶
x62
x72
(
x63
x73
)
⟶
(
x54
(
x35
x72
x73
)
x73
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x10
(
x27
x72
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x62
(
x34
x72
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x11
(
x28
x72
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
(
x0
x74
⟶
False
)
⟶
(
x0
x72
⟶
False
)
⟶
x62
x72
(
x63
x74
)
⟶
x54
x73
x74
x72
⟶
(
x62
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x10
x73
x72
⟶
(
x62
x73
(
x63
(
x38
x9
x72
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x10
x73
x72
⟶
(
x33
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x10
x73
x72
⟶
(
x16
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x11
x73
x72
⟶
(
x33
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x11
x73
x72
⟶
(
x16
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x11
x73
x72
⟶
(
x17
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x66
x74
⟶
x66
x72
⟶
x29
x73
x74
⟶
x11
x73
(
x51
x72
)
⟶
(
x1
(
x58
x74
x72
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x54
x64
x55
x9
⟶
False
)
⟶
False
)
⟶
(
(
x62
x9
(
x63
x55
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x62
x72
x55
⟶
(
x62
(
x3
x73
x72
)
x55
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
(
x62
(
x51
x72
)
(
x63
x26
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
x0
(
x51
x72
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
(
x62
(
x65
x72
)
x9
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x66
x74
⟶
x66
x72
⟶
x66
x73
⟶
(
x10
(
x59
x74
x72
x73
)
(
x51
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x66
x74
⟶
x66
x72
⟶
x66
x73
⟶
(
x29
(
x59
x74
x72
x73
)
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x66
x74
⟶
x66
x72
⟶
x66
x73
⟶
(
x70
(
x56
(
x65
x73
)
x74
)
x72
⟶
False
)
⟶
(
x60
x74
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x66
x74
⟶
x66
x72
⟶
x66
x73
⟶
x60
x74
x72
x73
⟶
x70
(
x56
(
x65
x73
)
x74
)
x72
⟶
False
)
⟶
(
∀ x72 x73 .
x5
x73
⟶
x5
x72
⟶
(
x70
x73
x72
⟶
False
)
⟶
(
x70
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x71
x73
⟶
x62
x72
x55
⟶
(
x3
x73
x72
=
x3
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 .
x7
x73
⟶
x7
x72
⟶
(
x8
x73
x72
=
x8
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
(
x30
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
(
x68
x72
⟶
False
)
⟶
(
x69
x72
⟶
False
)
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
(
x68
x72
⟶
False
)
⟶
(
x69
x72
⟶
False
)
⟶
(
x0
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x62
x72
x57
⟶
(
x66
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
x5
x72
⟶
x69
x72
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
x5
x72
⟶
x68
x72
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
x5
x72
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
(
x66
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x0
x72
⟶
False
)
⟶
x5
x72
⟶
(
x68
x72
⟶
False
)
⟶
(
x69
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x0
x72
⟶
False
)
⟶
x5
x72
⟶
(
x68
x72
⟶
False
)
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
(
x18
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
x69
x72
⟶
x68
x72
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
x69
x72
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
x69
x72
⟶
x0
x72
⟶
False
)
⟶
(
∀ x72 x73 .
x18
x73
⟶
x62
x72
x73
⟶
(
x18
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x0
x72
⟶
False
)
⟶
x5
x72
⟶
(
x69
x72
⟶
False
)
⟶
(
x68
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
(
x0
x72
⟶
False
)
⟶
x5
x72
⟶
(
x69
x72
⟶
False
)
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x71
x72
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x0
x74
⟶
x62
x72
(
x63
(
x38
x73
x74
)
)
⟶
(
x0
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
(
x48
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
x68
x72
⟶
x69
x72
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
x68
x72
⟶
(
x5
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x5
x72
⟶
x68
x72
⟶
x0
x72
⟶
False
)
⟶
(
∀ x72 .
x71
x72
⟶
(
x7
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 x73 x74 .
x0
x74
⟶
x62
x72
(
x63
(
x38
x74
x73
)
)
⟶
(
x0
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x0
x72
⟶
(
x18
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
x69
x72
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
(
x66
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x1
x72
⟶
(
x71
x72
⟶
False
)
⟶
False
)
⟶
(
∀ x72 .
x66
x72
⟶
(