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Proofgold Asset
asset id
e2d5ba0b96c17c02b85dea9a42b7a2dee52474baaa47a3f2bfa6fc521549f0c6
asset hash
07818a73fa4bd03e8f2cc80cdd786b7af1114ad0f6a726a2d2e9bed65c005eab
bday / block
35148
tx
64a62..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
c7cce..
:
∀ x0 :
ι →
ι → ο
.
∀ x1 :
ι → ι
.
∀ x2 :
ι →
ι → ο
.
∀ x3 :
ι →
ι → ι
.
∀ x4 :
ι →
ι → ο
.
∀ x5 :
ι →
ι → ι
.
∀ x6 .
∀ x7 :
ι → ι
.
∀ x8 :
ι → ο
.
∀ x9 x10 x11 :
ι → ι
.
∀ x12 :
ι → ο
.
∀ x13 x14 :
ι → ι
.
∀ x15 .
∀ x16 :
ι →
ι → ο
.
∀ x17 x18 :
ι → ο
.
∀ x19 x20 :
ι →
ι → ι
.
∀ x21 :
ι → ι
.
∀ x22 x23 x24 x25 .
∀ x26 :
ι →
ι → ο
.
∀ x27 x28 .
∀ x29 x30 :
ι → ι
.
∀ x31 :
ι → ο
.
∀ x32 :
ι →
ι → ι
.
∀ x33 :
ι →
ι → ο
.
∀ x34 :
ι → ι
.
∀ x35 x36 .
∀ x37 :
ι → ι
.
∀ x38 :
ι → ο
.
∀ x39 :
ι → ι
.
∀ x40 :
ι →
ι → ο
.
∀ x41 :
ι → ι
.
∀ x42 :
ι →
ι → ι
.
∀ x43 x44 :
ι → ι
.
∀ x45 :
ι → ο
.
∀ x46 :
ι →
ι →
ι →
ι → ι
.
∀ x47 :
ι →
ι → ι
.
∀ x48 x49 :
ι →
ι →
ι → ο
.
∀ x50 :
ι →
ι → ι
.
∀ x51 x52 :
ι →
ι →
ι → ι
.
∀ x53 :
ι → ο
.
∀ x54 :
ι →
ι → ο
.
∀ x55 :
ι → ι
.
∀ x56 :
ι →
ι →
ι → ι
.
∀ x57 :
ι →
ι → ι
.
∀ x58 :
ι →
ι →
ι → ι
.
∀ x59 x60 :
ι → ο
.
∀ x61 .
∀ x62 :
ι → ο
.
(
∀ x63 x64 .
x62
x64
⟶
(
x64
=
x63
⟶
False
)
⟶
x62
x63
⟶
False
)
⟶
(
∀ x63 x64 .
x0
x63
x64
⟶
x62
x64
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x63
=
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x0
x63
x64
⟶
x2
x64
(
x1
x65
)
⟶
x62
x65
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x57
x65
(
x58
x65
x63
x64
)
=
x56
(
x55
x65
)
(
x57
x65
x63
)
(
x57
x65
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x3
x65
(
x58
x65
x63
x64
)
=
x56
(
x55
x65
)
(
x3
x65
x63
)
(
x3
x65
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x57
x65
(
x52
x65
x63
x64
)
=
x51
(
x55
x65
)
(
x57
x65
x63
)
(
x57
x65
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x3
x65
(
x52
x65
x63
x64
)
=
x51
(
x55
x65
)
(
x3
x65
x63
)
(
x3
x65
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x0
x64
x65
⟶
x2
x65
(
x1
x63
)
⟶
(
x2
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x4
x64
x63
⟶
(
x2
x64
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x2
x64
(
x1
x63
)
⟶
(
x4
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x2
x63
x64
⟶
(
x62
x64
⟶
False
)
⟶
(
x0
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x50
x63
x61
=
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x5
x63
(
x50
x63
x64
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x0
x64
x63
⟶
(
x2
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x5
x63
x61
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
x49
x65
x63
x64
⟶
(
x49
x65
x64
x63
⟶
False
)
⟶
False
)
⟶
(
x62
x6
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x49
x65
x63
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x4
x63
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
x63
=
x64
⟶
(
x49
x65
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
x49
x65
x63
x64
⟶
(
x63
=
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x62
x65
⟶
False
)
⟶
(
x62
x63
⟶
False
)
⟶
x2
x63
(
x1
x65
)
⟶
x2
x64
x63
⟶
(
x48
x64
x65
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x62
x65
⟶
False
)
⟶
(
x62
x63
⟶
False
)
⟶
x2
x63
(
x1
x65
)
⟶
x48
x64
x65
x63
⟶
(
x2
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
(
x56
x65
x63
x64
=
x50
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x7
x63
=
x1
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 x66 .
x2
x65
(
x1
x66
)
⟶
x2
x64
(
x1
x63
)
⟶
(
x46
x66
x63
x65
x64
=
x47
x65
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
x2
x63
(
x1
x65
)
⟶
(
x51
x65
x64
x63
=
x5
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x45
x63
⟶
(
x42
(
x43
x63
)
(
x44
x63
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x44
(
x42
x64
x63
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x43
(
x42
x63
x64
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x8
x63
⟶
False
)
⟶
x8
(
x9
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x8
x63
⟶
False
)
⟶
(
x2
(
x9
x63
)
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
(
x8
(
x10
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
x62
(
x10
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
(
x2
(
x10
x63
)
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
(
x40
(
x41
x63
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
(
x2
(
x41
x63
)
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x38
x63
⟶
x62
(
x39
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x38
x63
⟶
(
x2
(
x39
x63
)
(
x1
(
x55
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x40
(
x37
x63
)
x63
⟶
False
)
⟶
(
∀ x63 .
(
x2
(
x37
x63
)
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
x62
x36
⟶
False
)
⟶
(
∀ x63 .
(
x62
(
x11
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x2
(
x11
x63
)
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x12
x63
⟶
False
)
⟶
x38
x63
⟶
x8
(
x13
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x12
x63
⟶
False
)
⟶
x38
x63
⟶
(
x2
(
x13
x63
)
(
x1
(
x55
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x38
x63
⟶
(
x8
(
x14
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x38
x63
⟶
x62
(
x14
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x38
x63
⟶
(
x2
(
x14
x63
)
(
x1
(
x55
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x45
x35
⟶
False
)
⟶
False
)
⟶
(
(
x62
x15
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
x62
(
x34
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x62
x63
⟶
False
)
⟶
(
x2
(
x34
x63
)
(
x1
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x33
(
x32
x63
x64
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x16
(
x32
x64
x63
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x31
(
x32
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
(
x32
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x2
(
x32
x63
x64
)
(
x1
(
x47
x64
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x63
(
x1
x65
)
⟶
(
x56
x65
x64
x64
=
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
x2
x63
(
x1
x65
)
⟶
(
x51
x65
x64
x64
=
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x50
x63
x63
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x5
x63
x63
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x17
x63
⟶
False
)
⟶
x38
x63
⟶
x18
(
x55
x63
)
⟶
False
)
⟶
(
∀ x63 .
x17
x63
⟶
x38
x63
⟶
(
x18
(
x55
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x12
x63
⟶
x38
x63
⟶
(
x8
(
x55
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x12
x63
⟶
False
)
⟶
x38
x63
⟶
x8
(
x55
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
x64
⟶
False
)
⟶
x62
(
x5
x63
x64
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x31
x65
⟶
x33
x65
x63
⟶
x31
x64
⟶
(
x33
(
x50
x65
x64
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
x64
⟶
False
)
⟶
x62
(
x5
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x31
x65
⟶
x33
x65
x63
⟶
x31
x64
⟶
x33
x64
x63
⟶
(
x33
(
x5
x65
x64
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
(
x19
x63
x64
)
⟶
False
)
⟶
(
∀ x63 .
x62
(
x30
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x38
x63
⟶
x62
(
x55
x63
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x31
x65
⟶
x16
x65
x63
⟶
x31
x64
⟶
(
x16
(
x50
x65
x64
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x45
(
x42
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
(
x62
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
(
x1
x63
)
⟶
False
)
⟶
(
∀ x63 .
x60
x63
⟶
x38
x63
⟶
(
x62
(
x55
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x31
x65
⟶
x16
x65
x63
⟶
x31
x64
⟶
x16
x64
x63
⟶
(
x16
(
x5
x65
x64
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
x64
⟶
False
)
⟶
(
x62
x63
⟶
False
)
⟶
x62
(
x47
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
x64
⟶
False
)
⟶
(
x62
x63
⟶
False
)
⟶
x2
x63
(
x1
x64
)
⟶
(
x48
(
x20
x63
x64
)
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x60
x63
⟶
False
)
⟶
x53
x63
⟶
x59
x63
⟶
(
x54
(
x29
x63
)
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x2
(
x21
x63
)
x63
⟶
False
)
⟶
False
)
⟶
(
(
x38
x28
⟶
False
)
⟶
False
)
⟶
(
(
x59
x22
⟶
False
)
⟶
False
)
⟶
(
(
x62
x27
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x62
x65
⟶
False
)
⟶
(
x62
x63
⟶
False
)
⟶
x2
x63
(
x1
x65
)
⟶
x48
x64
x65
x63
⟶
(
x2
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x60
x64
⟶
False
)
⟶
x53
x64
⟶
x59
x64
⟶
x54
x63
x64
⟶
(
x48
x63
(
x47
(
x1
(
x55
x64
)
)
(
x1
(
x55
x64
)
)
)
(
x46
(
x1
(
x55
x64
)
)
(
x1
(
x55
x64
)
)
(
x7
(
x55
x64
)
)
(
x7
(
x55
x64
)
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x59
x63
⟶
(
x38
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
(
x2
(
x56
x65
x63
x64
)
(
x1
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x2
(
x7
x63
)
(
x1
(
x1
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 x66 .
x2
x65
(
x1
x66
)
⟶
x2
x64
(
x1
x63
)
⟶
(
x2
(
x46
x66
x63
x65
x64
)
(
x1
(
x47
x66
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
x2
x63
(
x1
x65
)
⟶
(
x2
(
x51
x65
x64
x63
)
(
x1
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x54
(
x58
x65
x63
x64
)
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x54
(
x52
x65
x63
x64
)
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x60
x64
⟶
False
)
⟶
x53
x64
⟶
x59
x64
⟶
x54
x63
x64
⟶
(
x2
(
x57
x64
x63
)
(
x1
(
x55
x64
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x60
x64
⟶
False
)
⟶
x53
x64
⟶
x59
x64
⟶
x54
x63
x64
⟶
(
x2
(
x3
x64
x63
)
(
x1
(
x55
x64
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x42
x64
x63
=
x19
(
x19
x64
x63
)
(
x30
x64
)
⟶
False
)
⟶
False
)
⟶
(
(
x61
=
x27
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x58
x65
x63
x64
=
x42
(
x56
(
x55
x65
)
(
x3
x65
x63
)
(
x3
x65
x64
)
)
(
x56
(
x55
x65
)
(
x57
x65
x63
)
(
x57
x65
x64
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
(
x52
x65
x63
x64
=
x42
(
x51
(
x55
x65
)
(
x3
x65
x63
)
(
x3
x65
x64
)
)
(
x51
(
x55
x65
)
(
x57
x65
x63
)
(
x57
x65
x64
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
x3
x65
x63
=
x3
x65
x64
⟶
x57
x65
x63
=
x57
x65
x64
⟶
(
x49
x65
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
x49
x65
x63
x64
⟶
(
x57
x65
x63
=
x57
x65
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x60
x65
⟶
False
)
⟶
x53
x65
⟶
x59
x65
⟶
x54
x63
x65
⟶
x54
x64
x65
⟶
x49
x65
x63
x64
⟶
(
x3
x65
x63
=
x3
x65
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x60
x64
⟶
False
)
⟶
x53
x64
⟶
x59
x64
⟶
x54
x63
x64
⟶
(
x57
x64
x63
=
x44
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x60
x64
⟶
False
)
⟶
x53
x64
⟶
x59
x64
⟶
x54
x63
x64
⟶
(
x3
x64
x63
=
x43
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
(
x56
x65
x63
x64
=
x56
x65
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x64
(
x1
x65
)
⟶
x2
x63
(
x1
x65
)
⟶
(
x51
x65
x64
x63
=
x51
x65
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x50
x64
x63
=
x50
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x5
x64
x63
=
x5
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x19
x64
x63
=
x19
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x26
x63
x61
⟶
(
x60
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x60
x63
⟶
(
x26
x63
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
(
x17
x63
⟶
False
)
⟶
x12
x63
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x12
x63
⟶
(
x17
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x8
x64
⟶
x2
x63
(
x1
x64
)
⟶
(
x8
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
(
x17
x63
⟶
False
)
⟶
x17
x63
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
(
x17
x63
⟶
False
)
⟶
x60
x63
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x2
x63
(
x1
x64
)
⟶
x40
x63
x64
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x60
x63
⟶
(
x17
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x60
x63
⟶
(
x60
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x62
x65
⟶
x2
x63
(
x1
(
x47
x64
x65
)
)
⟶
(
x62
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
x64
⟶
False
)
⟶
x2
x63
(
x1
x64
)
⟶
x62
x63
⟶
(
x40
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x62
x65
⟶
x2
x63
(
x1
(
x47
x65
x64
)
)
⟶
(
x62
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x62
x64
⟶
False
)
⟶
x2
x63
(
x1
x64
)
⟶
(
x40
x63
x64
⟶
False
)
⟶
x62
x63
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
(
x12
x63
⟶
False
)
⟶
x60
x63
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x65
(
x1
(
x47
x63
x64
)
)
⟶
(
x33
x65
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x65
(
x1
(
x47
x64
x63
)
)
⟶
(
x16
x65
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x2
x63
(
x1
x64
)
⟶
(
x62
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x60
x63
⟶
(
x12
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x2
x65
(
x1
(
x47
x63
x64
)
)
⟶
(
x31
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
(
x12
x63
⟶
False
)
⟶
x60
x63
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x26
x63
x6
⟶
(
x12
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
x26
x63
x6
⟶
x60
x63
⟶
False
)
⟶
(
∀ x63 .
x38
x63
⟶
(
x60
x63
⟶
False
)
⟶
x12
x63
⟶
(
x26
x63
x6
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x0
x63
x64
⟶
x0
x64
x63
⟶
False
)
⟶
(
x49
x23
(
x52
x23
x25
(
x58
x23
x25
x24
)
)
x25
⟶
False
)
⟶
(
(
x54
x24
x23
⟶
False
)
⟶
False
)
⟶
(
(
x54
x25
x23
⟶
False
)
⟶
False
)
⟶
(
(
x59
x23
⟶
False
)
⟶
False
)
⟶
(
(
x53
x23
⟶
False
)
⟶
False
)
⟶
(
x60
x23
⟶
False
)
⟶
False
(proof)