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Proofgold Asset
asset id
82877fbf63b105e5b745cb58d19d6b42094b156244641fd3955a95cabcb1dfac
asset hash
95b5b0f8d58521b6b962896da279a141d6ccce4335ed657c4321e2192763619c
bday / block
35159
tx
8ac18..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
0497a..
:
∀ x0 :
ι → ο
.
∀ x1 :
ι →
ι → ο
.
∀ x2 .
∀ x3 :
ι →
ι → ο
.
∀ x4 :
ι →
ι → ι
.
∀ x5 x6 .
∀ x7 :
ι →
ι →
ι → ο
.
∀ x8 .
∀ x9 :
ι →
ι → ι
.
∀ x10 x11 x12 x13 x14 :
ι → ι
.
∀ x15 :
ι → ο
.
∀ x16 x17 x18 x19 x20 x21 .
∀ x22 :
ι → ο
.
∀ x23 :
ι →
ι → ι
.
∀ x24 x25 x26 :
ι → ο
.
∀ x27 x28 .
∀ x29 x30 x31 x32 :
ι → ο
.
∀ x33 :
ι → ι
.
∀ x34 :
ι → ο
.
∀ x35 x36 x37 x38 x39 .
∀ x40 :
ι → ο
.
∀ x41 x42 x43 x44 .
∀ x45 x46 x47 x48 :
ι → ι
.
∀ x49 :
ι → ο
.
∀ x50 .
∀ x51 :
ι → ι
.
∀ x52 x53 .
∀ x54 :
ι →
ι → ι
.
∀ x55 :
ι →
ι → ο
.
∀ x56 :
ι → ι
.
∀ x57 :
ι →
ι → ι
.
∀ x58 :
ι → ι
.
∀ x59 .
∀ x60 x61 x62 :
ι → ο
.
∀ x63 :
ι →
ι → ο
.
∀ x64 :
ι → ο
.
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
(
x61
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x0
x66
⟶
(
x66
=
x65
⟶
False
)
⟶
x0
x65
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x61
x66
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x65
x66
⟶
x0
x66
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x0
x66
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x65
=
x2
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
x66
=
x65
⟶
(
x58
(
x57
x66
x65
)
=
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
x58
(
x57
x66
x65
)
=
x59
⟶
(
x66
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x1
x65
x66
⟶
x55
x66
(
x56
x67
)
⟶
x0
x67
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x0
x65
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x1
x66
x67
⟶
x55
x67
(
x56
x65
)
⟶
(
x55
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x61
x65
⟶
False
)
⟶
x61
x66
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x57
x65
x59
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x3
x66
x65
⟶
(
x55
x66
(
x56
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x55
x66
(
x56
x65
)
⟶
(
x3
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x62
x66
⟶
False
)
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x54
x53
x65
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x55
x65
x66
⟶
(
x0
x66
⟶
False
)
⟶
(
x1
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
x62
x65
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x54
x65
x59
=
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x66
x65
⟶
(
x55
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
x61
x66
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
(
x55
x2
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x4
x65
x59
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
(
x57
(
x51
x66
)
(
x51
x65
)
=
x57
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
(
x4
(
x51
x66
)
(
x51
x65
)
=
x51
(
x4
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x60
x67
⟶
x60
x65
⟶
x60
x66
⟶
(
x54
(
x54
x67
x65
)
x66
=
x54
x67
(
x54
x65
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x60
x67
⟶
x60
x65
⟶
x60
x66
⟶
(
x4
(
x4
x67
x65
)
x66
=
x4
x67
(
x4
x65
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x60
x67
⟶
x60
x65
⟶
x60
x66
⟶
(
x54
(
x4
x67
x65
)
x66
=
x4
(
x54
x67
x66
)
(
x54
x65
x66
)
⟶
False
)
⟶
False
)
⟶
(
(
x55
x6
x5
⟶
False
)
⟶
False
)
⟶
(
(
x55
x6
x50
⟶
False
)
⟶
False
)
⟶
(
(
x7
x6
x5
x50
⟶
False
)
⟶
False
)
⟶
(
(
x61
x6
⟶
False
)
⟶
False
)
⟶
(
x0
x6
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x54
x65
(
x51
x53
)
=
x51
x65
⟶
False
)
⟶
False
)
⟶
(
(
x55
x53
x5
⟶
False
)
⟶
False
)
⟶
(
(
x55
x53
x50
⟶
False
)
⟶
False
)
⟶
(
(
x7
x53
x5
x50
⟶
False
)
⟶
False
)
⟶
(
(
x61
x53
⟶
False
)
⟶
False
)
⟶
(
x0
x53
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
(
x4
x66
(
x51
x65
)
=
x57
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x55
x8
x5
⟶
False
)
⟶
False
)
⟶
(
(
x55
x8
x50
⟶
False
)
⟶
False
)
⟶
(
(
x7
x8
x5
x50
⟶
False
)
⟶
False
)
⟶
(
(
x0
x8
⟶
False
)
⟶
False
)
⟶
(
(
x51
(
x51
x6
)
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x51
(
x51
x53
)
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x51
x6
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x51
x53
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x51
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
(
x51
x6
)
x53
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x54
(
x51
x6
)
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
x6
x53
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x54
x6
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
x53
(
x51
x6
)
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x54
x53
x6
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x54
x53
x53
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x54
x53
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
x8
(
x51
x6
)
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
x8
x6
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
x8
x53
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x54
x8
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x6
)
(
x51
x6
)
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x6
)
(
x51
x53
)
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x6
)
x8
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x53
)
(
x51
x6
)
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x53
)
(
x51
x53
)
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x53
)
x53
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x57
(
x51
x53
)
x8
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x6
x6
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x57
x6
x53
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x6
x8
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x57
x53
(
x51
x53
)
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x57
x53
x6
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x53
x53
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x57
x53
x8
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x8
(
x51
x6
)
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x57
x8
(
x51
x53
)
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x8
x6
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x57
x8
x53
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x57
x8
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x51
x6
)
x6
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x51
x6
)
x53
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x51
x53
)
(
x51
x53
)
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x51
x53
)
x6
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x51
x53
)
x53
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x51
x53
)
x8
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
x6
(
x51
x6
)
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x4
x6
(
x51
x53
)
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
x6
x8
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x4
x53
(
x51
x6
)
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
x53
(
x51
x53
)
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x4
x53
x53
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x4
x53
x8
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
x8
(
x51
x6
)
=
x51
x6
⟶
False
)
⟶
False
)
⟶
(
(
x4
x8
(
x51
x53
)
=
x51
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
x8
x6
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x4
x8
x53
=
x53
⟶
False
)
⟶
False
)
⟶
(
(
x4
x8
x8
=
x8
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x6
)
(
x51
x6
)
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x6
)
(
x51
x53
)
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x6
)
x6
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x6
)
x53
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x6
)
x8
⟶
False
)
⟶
False
)
⟶
(
x63
(
x51
x53
)
(
x51
x6
)
⟶
False
)
⟶
(
(
x63
(
x51
x53
)
(
x51
x53
)
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x53
)
x6
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x53
)
x53
⟶
False
)
⟶
False
)
⟶
(
(
x63
(
x51
x53
)
x8
⟶
False
)
⟶
False
)
⟶
(
x63
x6
(
x51
x6
)
⟶
False
)
⟶
(
x63
x6
(
x51
x53
)
⟶
False
)
⟶
(
(
x63
x6
x6
⟶
False
)
⟶
False
)
⟶
(
x63
x6
x53
⟶
False
)
⟶
(
x63
x6
x8
⟶
False
)
⟶
(
x63
x53
(
x51
x6
)
⟶
False
)
⟶
(
x63
x53
(
x51
x53
)
⟶
False
)
⟶
(
(
x63
x53
x6
⟶
False
)
⟶
False
)
⟶
(
(
x63
x53
x53
⟶
False
)
⟶
False
)
⟶
(
x63
x53
x8
⟶
False
)
⟶
(
x63
x8
(
x51
x6
)
⟶
False
)
⟶
(
x63
x8
(
x51
x53
)
⟶
False
)
⟶
(
(
x63
x8
x6
⟶
False
)
⟶
False
)
⟶
(
(
x63
x8
x53
⟶
False
)
⟶
False
)
⟶
(
(
x63
x8
x8
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x49
x66
⟶
x49
x65
⟶
(
x63
x66
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x3
x65
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x55
x65
(
x56
x67
)
⟶
x55
x66
x65
⟶
(
x7
x66
x67
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x55
x65
(
x56
x67
)
⟶
x7
x66
x67
x65
⟶
(
x55
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x55
x65
x5
⟶
(
x48
x65
=
x47
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x55
x66
x5
⟶
x64
x65
⟶
(
x9
x66
x65
=
x4
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x59
=
x2
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x55
x65
x5
⟶
(
x10
x65
=
x11
x65
⟶
False
)
⟶
False
)
⟶
(
(
x50
=
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x13
x65
=
x12
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x45
x65
=
x46
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x58
x65
=
x14
x65
⟶
False
)
⟶
False
)
⟶
(
(
x49
x44
⟶
False
)
⟶
False
)
⟶
(
(
x0
x44
⟶
False
)
⟶
False
)
⟶
(
(
x64
x43
⟶
False
)
⟶
False
)
⟶
(
(
x49
x43
⟶
False
)
⟶
False
)
⟶
(
(
x60
x43
⟶
False
)
⟶
False
)
⟶
(
(
x0
x43
⟶
False
)
⟶
False
)
⟶
(
(
x62
x42
⟶
False
)
⟶
False
)
⟶
(
(
x49
x42
⟶
False
)
⟶
False
)
⟶
(
(
x64
x41
⟶
False
)
⟶
False
)
⟶
(
(
x62
x41
⟶
False
)
⟶
False
)
⟶
(
(
x49
x41
⟶
False
)
⟶
False
)
⟶
(
(
x60
x41
⟶
False
)
⟶
False
)
⟶
(
(
x40
x39
⟶
False
)
⟶
False
)
⟶
(
(
x15
x39
⟶
False
)
⟶
False
)
⟶
(
x0
x39
⟶
False
)
⟶
(
(
x61
x16
⟶
False
)
⟶
False
)
⟶
(
(
x49
x16
⟶
False
)
⟶
False
)
⟶
(
(
x64
x17
⟶
False
)
⟶
False
)
⟶
(
(
x61
x17
⟶
False
)
⟶
False
)
⟶
(
(
x49
x17
⟶
False
)
⟶
False
)
⟶
(
(
x60
x17
⟶
False
)
⟶
False
)
⟶
(
(
x60
x18
⟶
False
)
⟶
False
)
⟶
(
x0
x18
⟶
False
)
⟶
(
x0
x19
⟶
False
)
⟶
(
(
x15
x38
⟶
False
)
⟶
False
)
⟶
(
x0
x38
⟶
False
)
⟶
(
(
x49
x37
⟶
False
)
⟶
False
)
⟶
(
(
x64
x20
⟶
False
)
⟶
False
)
⟶
(
(
x60
x36
⟶
False
)
⟶
False
)
⟶
(
(
x0
x21
⟶
False
)
⟶
False
)
⟶
(
(
x15
x35
⟶
False
)
⟶
False
)
⟶
(
x0
x35
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x58
(
x58
x65
)
=
x58
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x14
(
x14
x65
)
=
x14
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x51
(
x51
x65
)
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x62
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x4
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x0
x66
⟶
False
)
⟶
x60
x66
⟶
(
x0
x65
⟶
False
)
⟶
x60
x65
⟶
x0
(
x54
x66
x65
)
⟶
False
)
⟶
(
x22
x5
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x57
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x54
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x60
x65
⟶
(
x60
(
x51
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x60
x65
⟶
x0
(
x51
x65
)
⟶
False
)
⟶
(
(
x15
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x4
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
x62
(
x14
x65
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x64
(
x14
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x40
x52
⟶
False
)
⟶
False
)
⟶
(
(
x40
x5
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
(
x60
(
x57
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x60
x65
⟶
(
x64
(
x14
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x0
x65
⟶
False
)
⟶
x60
x65
⟶
x0
(
x14
x65
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x51
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x60
(
x51
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
(
x60
(
x54
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x34
x5
⟶
False
)
⟶
False
)
⟶
(
(
x64
(
x14
x59
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
(
x14
x59
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x60
x66
⟶
x60
x65
⟶
(
x60
(
x4
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x11
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x60
x65
⟶
(
x64
(
x12
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x62
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x54
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x54
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x54
x65
x66
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(