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Proofgold Asset
asset id
0a19ac61a640a4cb52ed0b2aa0272aadabb3c939152eb74ff58e9ab670d8ac8e
asset hash
993947f356aa84bd2b18b5b187c79512f8670377252b4d187a6db8da31c5e259
bday / block
35125
tx
44658..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
56bd6..
:
∀ x0 :
ι → ο
.
∀ x1 .
∀ x2 :
ι →
ι → ι
.
∀ x3 :
ι →
ι →
ι →
ι → ο
.
∀ x4 :
ι →
ι → ι
.
∀ x5 x6 :
ι → ο
.
∀ x7 .
∀ x8 :
ι → ο
.
∀ x9 :
ι → ι
.
∀ x10 :
ι →
ι → ι
.
∀ x11 :
ι → ο
.
∀ x12 x13 .
∀ x14 :
ι → ι
.
∀ x15 .
∀ x16 :
ι → ι
.
∀ x17 .
∀ x18 :
ι → ι
.
∀ x19 .
∀ x20 x21 :
ι → ι
.
∀ x22 .
∀ x23 :
ι → ι
.
∀ x24 x25 .
∀ x26 :
ι → ι
.
∀ x27 .
∀ x28 :
ι → ο
.
∀ x29 x30 x31 x32 .
∀ x33 x34 :
ι →
ι →
ι → ι
.
∀ x35 :
ι →
ι → ι
.
∀ x36 :
ι →
ι →
ι → ι
.
∀ x37 :
ι →
ι → ι
.
∀ x38 :
ι → ο
.
∀ x39 x40 .
∀ x41 :
ι →
ι → ι
.
∀ x42 .
∀ x43 x44 :
ι → ο
.
∀ x45 x46 .
∀ x47 x48 x49 :
ι → ι
.
∀ x50 :
ι → ο
.
∀ x51 :
ι →
ι → ο
.
∀ x52 :
ι → ι
.
∀ x53 :
ι →
ι →
ι → ο
.
∀ x54 x55 :
ι → ι
.
∀ x56 .
∀ x57 :
ι → ο
.
∀ x58 .
∀ x59 x60 :
ι → ο
.
∀ x61 :
ι → ι
.
∀ x62 x63 :
ι →
ι → ο
.
∀ x64 :
ι → ι
.
∀ x65 x66 x67 :
ι →
ι → ο
.
∀ x68 :
ι →
ι →
ι → ι
.
∀ x69 :
ι →
ι →
ι → ο
.
∀ x70 :
ι →
ι →
ι → ι
.
∀ x71 x72 :
ι → ο
.
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
x69
x73
(
x70
x73
x76
x75
)
x74
⟶
x69
x73
(
x70
x73
x75
x76
)
x74
⟶
(
x69
x73
(
x68
x73
x76
x75
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x0
x74
⟶
(
x74
=
x73
⟶
False
)
⟶
x0
x73
⟶
False
)
⟶
(
∀ x73 x74 .
x65
x73
x74
⟶
x0
x74
⟶
False
)
⟶
(
∀ x73 .
x0
x73
⟶
(
x73
=
x1
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x65
x73
x74
⟶
x63
x74
(
x64
x75
)
⟶
x0
x75
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x65
x74
x75
⟶
x63
x75
(
x64
x73
)
⟶
(
x63
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x62
x74
x73
⟶
(
x63
x74
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x63
x74
(
x64
x73
)
⟶
(
x62
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x63
x73
x74
⟶
(
x0
x74
⟶
False
)
⟶
(
x65
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x65
x74
x73
⟶
(
x63
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
x69
x73
x76
x75
⟶
(
x69
x73
(
x70
x73
x76
x74
)
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x69
x73
x75
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x62
x73
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
(
x0
x75
⟶
False
)
⟶
x63
x75
(
x64
(
x2
x73
x76
)
)
⟶
x63
x74
x75
⟶
(
x3
x74
x73
x76
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
(
x0
x75
⟶
False
)
⟶
x63
x75
(
x64
(
x2
x73
x76
)
)
⟶
x3
x74
x73
x76
x75
⟶
(
x63
x74
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x4
x73
x74
=
x2
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x71
(
x61
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x61
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x60
(
x61
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x61
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x59
x58
⟶
False
)
⟶
False
)
⟶
(
(
x71
x58
⟶
False
)
⟶
False
)
⟶
(
(
x72
x58
⟶
False
)
⟶
False
)
⟶
(
x0
x58
⟶
False
)
⟶
(
(
x57
x56
⟶
False
)
⟶
False
)
⟶
(
(
x5
x56
⟶
False
)
⟶
False
)
⟶
(
x0
x56
⟶
False
)
⟶
(
(
x6
x7
⟶
False
)
⟶
False
)
⟶
(
x0
x7
⟶
False
)
⟶
(
∀ x73 .
(
x8
x73
⟶
False
)
⟶
(
x5
(
x9
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x8
x73
⟶
False
)
⟶
x8
(
x9
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x8
x73
⟶
False
)
⟶
(
x63
(
x9
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x8
x73
⟶
False
)
⟶
x8
(
x55
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x8
x73
⟶
False
)
⟶
(
x63
(
x55
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x8
(
x54
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
x0
(
x54
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x63
(
x54
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x60
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x67
(
x10
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x60
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x71
(
x10
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x60
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x66
(
x10
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x60
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x60
(
x10
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x60
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x72
(
x10
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x60
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x53
(
x10
x74
x73
)
x73
x74
⟶
False
)
⟶
False
)
⟶
(
x11
x12
⟶
False
)
⟶
(
(
x71
x12
⟶
False
)
⟶
False
)
⟶
(
(
x72
x12
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x51
(
x52
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x63
(
x52
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x50
(
x49
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x67
(
x49
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x71
(
x49
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x49
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x49
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x71
x13
⟶
False
)
⟶
False
)
⟶
(
(
x60
x13
⟶
False
)
⟶
False
)
⟶
(
(
x72
x13
⟶
False
)
⟶
False
)
⟶
(
x0
x13
⟶
False
)
⟶
(
∀ x73 .
(
x67
(
x14
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x71
(
x14
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x14
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x60
(
x14
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x14
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x51
(
x48
x73
)
x73
⟶
False
)
⟶
(
∀ x73 .
(
x63
(
x48
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x67
(
x47
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x71
(
x47
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x47
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x60
(
x47
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x47
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x71
x15
⟶
False
)
⟶
False
)
⟶
(
(
x60
x15
⟶
False
)
⟶
False
)
⟶
(
(
x72
x15
⟶
False
)
⟶
False
)
⟶
(
(
x5
x46
⟶
False
)
⟶
False
)
⟶
(
(
x71
x46
⟶
False
)
⟶
False
)
⟶
(
(
x72
x46
⟶
False
)
⟶
False
)
⟶
(
x0
x46
⟶
False
)
⟶
(
x0
x45
⟶
False
)
⟶
(
∀ x73 .
(
x0
(
x16
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x63
(
x16
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x60
x17
⟶
False
)
⟶
False
)
⟶
(
(
x72
x17
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x67
(
x18
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x71
(
x18
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x18
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x44
(
x18
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x18
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x43
x42
⟶
False
)
⟶
False
)
⟶
(
(
x71
x42
⟶
False
)
⟶
False
)
⟶
(
(
x72
x42
⟶
False
)
⟶
False
)
⟶
(
x0
x19
⟶
False
)
⟶
(
(
x11
x19
⟶
False
)
⟶
False
)
⟶
(
(
x71
x19
⟶
False
)
⟶
False
)
⟶
(
(
x72
x19
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x5
(
x20
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
x0
(
x20
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x63
(
x20
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x5
(
x41
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x6
(
x41
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x0
(
x41
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x63
(
x41
x74
x73
)
(
x64
(
x2
x73
x74
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
x40
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
x0
(
x21
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x0
x73
⟶
False
)
⟶
(
x63
(
x21
x73
)
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x72
x22
⟶
False
)
⟶
False
)
⟶
(
x0
x22
⟶
False
)
⟶
(
∀ x73 .
(
x67
(
x23
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x71
(
x23
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x23
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x23
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x71
x24
⟶
False
)
⟶
False
)
⟶
(
(
x72
x24
⟶
False
)
⟶
False
)
⟶
(
(
x50
x25
⟶
False
)
⟶
False
)
⟶
(
(
x71
x25
⟶
False
)
⟶
False
)
⟶
(
(
x72
x25
⟶
False
)
⟶
False
)
⟶
(
(
x5
x39
⟶
False
)
⟶
False
)
⟶
(
x0
x39
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x38
(
x37
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x6
(
x37
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
x0
(
x37
x74
x73
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x63
(
x37
x74
x73
)
(
x64
(
x2
x73
x74
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x36
x73
x75
x75
=
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x5
x73
⟶
(
x57
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
x1
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x0
(
x64
x73
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x38
(
x2
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x6
(
x2
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
x0
(
x2
x73
x74
)
⟶
False
)
⟶
(
∀ x73 .
x5
x73
⟶
(
x5
(
x64
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x53
(
x35
x74
x73
)
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x63
(
x26
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
(
x0
x74
⟶
False
)
⟶
x63
x74
(
x64
(
x2
x73
x75
)
)
⟶
(
x3
(
x34
x74
x75
x73
)
x73
x75
x74
⟶
False
)
⟶
False
)
⟶
(
(
x0
x27
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x53
x74
x73
x75
⟶
(
x67
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x53
x74
x73
x75
⟶
(
x71
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x53
x74
x73
x75
⟶
(
x66
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x53
x74
x73
x75
⟶
(
x72
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
(
x0
x75
⟶
False
)
⟶
x63
x75
(
x64
(
x2
x73
x76
)
)
⟶
x3
x74
x73
x76
x75
⟶
(
x53
x74
x73
x76
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x67
(
x68
x73
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x71
(
x68
x73
x75
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x66
(
x68
x73
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x72
(
x68
x73
x75
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x67
(
x70
x73
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x71
(
x70
x73
x75
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x66
(
x70
x73
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x72
(
x70
x73
x75
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x67
(
x36
x73
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x71
(
x36
x73
x75
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x66
(
x36
x73
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x72
(
x36
x73
x75
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x63
(
x4
x73
x74
)
(
x64
(
x2
x73
x74
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x68
x73
x75
x74
=
x36
x73
(
x70
x73
x75
x74
)
(
x70
x73
x74
x75
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
=
x27
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
(
x53
(
x33
x74
x75
x73
)
x73
x75
⟶
False
)
⟶
(
x65
(
x33
x74
x75
x73
)
x74
⟶
False
)
⟶
(
x74
=
x2
x73
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x65
(
x33
x74
x75
x73
)
x74
⟶
x53
(
x33
x74
x75
x73
)
x73
x75
⟶
(
x74
=
x2
x73
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
x75
=
x2
x73
x76
⟶
x53
x74
x73
x76
⟶
(
x65
x74
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x72
x76
⟶
x66
x76
x73
⟶
x71
x76
⟶
x67
x76
x73
⟶
x75
=
x2
x73
x76
⟶
x65
x74
x75
⟶
(
x53
x74
x73
x76
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
x69
x73
x74
x75
⟶
(
x53
x74
x73
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
x53
x74
x73
x75
⟶
(
x69
x73
x74
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x68
x73
x75
x74
=
x68
x73
x74
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x71
x75
⟶
x67
x75
x73
⟶
x72
x74
⟶
x66
x74
x73
⟶
x71
x74
⟶
x67
x74
x73
⟶
(
x36
x73
x75
x74
=
x36
x73
x74
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x6
x74
⟶
x63
x73
(
x64
x74
)
⟶
(
x6
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x0
x73
⟶
x72
x73
⟶
(
x59
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x0
x73
⟶
x72
x73
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x6
x74
⟶
x63
x73
x74
⟶
(
x71
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x6
x74
⟶
x63
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x57
x74
⟶
x63
x73
(
x64
x74
)
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x0
x74
⟶
x72
x73
⟶
x66
x73
x74
⟶
(
x66
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x0
x74
⟶
x72
x73
⟶
x66
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x0
x74
⟶
x72
x73
⟶
x66
x73
x74
⟶
(
x0
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x0
x73
⟶
(
x6
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x57
x74
⟶
x63
x73
x74
⟶
(
x5
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x8
x73
⟶
x72
x73
⟶
x71
x73
⟶
(
x11
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x8
x73
⟶
x72
x73
⟶
x71
x73
⟶
(
x71
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x8
x73
⟶
x72
x73
⟶
x71
x73
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x0
x73
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x8
x74
⟶
x63
x73
(
x64
x74
)
⟶
(
x8
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x75
x73
⟶
x63
x74
(
x64
x75
)
⟶
(
x66
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x0
x74
⟶
False
)
⟶
x72
x73
⟶
x66
x73
x74
⟶
x71
x73
⟶
x67
x73
x74
⟶
(
x67
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x0
x74
⟶
False
)
⟶
x72
x73
⟶
x66
x73
x74
⟶
x71
x73
⟶
x67
x73
x74
⟶
(
x71
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x0
x74
⟶
False
)
⟶
x72
x73
⟶
x66
x73
x74
⟶
x71
x73
⟶
x67
x73
x74
⟶
(
x66
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x0
x74
⟶
False
)
⟶
x72
x73
⟶
x66
x73
x74
⟶
x71
x73
⟶
x67
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x0
x74
⟶
False
)
⟶
x72
x73
⟶
x66
x73
x74
⟶
x71
x73
⟶
x67
x73
x74
⟶
x0
x73
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x71
x73
⟶
(
x11
x73
⟶
False
)
⟶
(
x71
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x71
x73
⟶
(
x11
x73
⟶
False
)
⟶
(