Search for blocks/addresses/...
Proofgold Asset
asset id
cd1470a32c4207c8468d01a73bcd0d980a247d06b7f67617cb4489becf4578d7
asset hash
fe6d9eb88c4a11b3d455d14357e155bcac8e20b63b86e1747d8f00f88c44bc09
bday / block
35132
tx
29f4a..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
4b79b..
:
∀ x0 :
ι → ο
.
∀ x1 .
∀ x2 :
ι → ι
.
∀ x3 x4 :
ι →
ι → ο
.
∀ x5 .
∀ x6 :
ι → ο
.
∀ x7 :
ι →
ι → ι
.
∀ x8 x9 x10 :
ι → ι
.
∀ x11 :
ι →
ι → ι
.
∀ x12 .
∀ x13 :
ι → ο
.
∀ x14 .
∀ x15 :
ι → ο
.
∀ x16 x17 x18 x19 x20 .
∀ x21 :
ι → ο
.
∀ x22 .
∀ x23 :
ι → ο
.
∀ x24 x25 x26 x27 .
∀ x28 :
ι → ι
.
∀ x29 x30 .
∀ x31 x32 :
ι → ο
.
∀ x33 .
∀ x34 :
ι →
ι → ι
.
∀ x35 :
ι → ο
.
∀ x36 x37 x38 x39 .
∀ x40 x41 :
ι → ο
.
∀ x42 x43 x44 x45 .
∀ x46 :
ι → ο
.
∀ x47 .
∀ x48 x49 :
ι → ο
.
∀ x50 :
ι →
ι →
ι → ο
.
∀ x51 .
∀ x52 x53 :
ι → ι
.
∀ x54 x55 x56 :
ι →
ι → ι
.
∀ x57 .
∀ x58 :
ι →
ι → ο
.
∀ x59 .
∀ x60 x61 :
ι →
ι → ι
.
∀ x62 :
ι → ο
.
(
∀ x63 x64 x65 .
x62
x65
⟶
x62
x63
⟶
x62
x64
⟶
(
x65
=
x59
⟶
False
)
⟶
(
x60
x63
x64
=
x60
(
x61
x63
x65
)
(
x61
x64
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x0
x64
⟶
(
x64
=
x63
⟶
False
)
⟶
x0
x63
⟶
False
)
⟶
(
∀ x63 x64 .
x58
x63
x64
⟶
x0
x64
⟶
False
)
⟶
(
∀ x63 .
x0
x63
⟶
(
x63
=
x1
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x60
x63
x57
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x58
x63
x64
⟶
x3
x64
(
x2
x65
)
⟶
x0
x65
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x60
x59
x63
=
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x58
x64
x65
⟶
x3
x65
(
x2
x63
)
⟶
(
x3
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x56
x63
x59
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x4
x64
x63
⟶
(
x3
x64
(
x2
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x3
x64
(
x2
x63
)
⟶
(
x4
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x61
x57
x63
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x3
x63
x64
⟶
(
x0
x64
⟶
False
)
⟶
(
x58
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x61
x63
x59
=
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x58
x64
x63
⟶
(
x3
x64
x63
⟶
False
)
⟶
False
)
⟶
(
(
x3
x1
x5
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x55
x63
x59
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x63
=
x7
(
x9
(
x8
x63
)
)
(
x10
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x63
=
x54
(
x10
x63
)
(
x9
(
x8
x63
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x63
=
x11
(
x10
x63
)
(
x8
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x62
x63
⟶
(
x56
(
x53
x64
)
(
x53
x63
)
=
x56
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x62
x63
⟶
(
x55
(
x53
x64
)
(
x53
x63
)
=
x53
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x62
x65
⟶
x62
x63
⟶
x62
x64
⟶
(
x61
(
x61
x65
x63
)
x64
=
x61
x65
(
x61
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x62
x65
⟶
x62
x63
⟶
x62
x64
⟶
(
x55
(
x55
x65
x63
)
x64
=
x55
x65
(
x55
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x62
x65
⟶
x62
x63
⟶
x62
x64
⟶
(
x61
(
x55
x65
x63
)
x64
=
x55
(
x61
x65
x64
)
(
x61
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
x62
x65
⟶
x62
x63
⟶
x62
x64
⟶
(
x61
x65
(
x60
x63
x64
)
=
x60
(
x61
x65
x63
)
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x60
x57
x63
=
x52
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x61
x63
(
x53
x57
)
=
x53
x63
⟶
False
)
⟶
False
)
⟶
(
(
x3
x57
x51
⟶
False
)
⟶
False
)
⟶
(
(
x3
x57
x12
⟶
False
)
⟶
False
)
⟶
(
(
x50
x57
x51
x12
⟶
False
)
⟶
False
)
⟶
(
(
x13
x57
⟶
False
)
⟶
False
)
⟶
(
x0
x57
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x62
x63
⟶
(
x55
x64
(
x53
x63
)
=
x56
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x62
x63
⟶
(
x61
x64
(
x52
x63
)
=
x60
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x62
x63
⟶
(
x60
(
x52
x64
)
(
x52
x63
)
=
x60
x63
x64
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x62
x64
⟶
x62
x63
⟶
(
x61
(
x52
x64
)
(
x52
x63
)
=
x52
(
x61
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
(
x3
x14
x51
⟶
False
)
⟶
False
)
⟶
(
(
x3
x14
x12
⟶
False
)
⟶
False
)
⟶
(
(
x50
x14
x51
x12
⟶
False
)
⟶
False
)
⟶
(
(
x0
x14
⟶
False
)
⟶
False
)
⟶
(
(
x53
(
x53
x57
)
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x53
x57
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x53
x14
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x61
x57
x57
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x61
x57
x14
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x61
x14
x57
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x61
x14
x14
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x60
(
x53
x57
)
x57
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x60
x57
(
x53
x57
)
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x60
x57
x57
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x56
(
x53
x57
)
(
x53
x57
)
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x56
(
x53
x57
)
x14
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x56
x57
x57
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x56
x57
x14
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x56
x14
(
x53
x57
)
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x56
x14
x57
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x56
x14
x14
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x55
(
x53
x57
)
x57
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x55
(
x53
x57
)
x14
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x55
x57
(
x53
x57
)
=
x14
⟶
False
)
⟶
False
)
⟶
(
(
x55
x57
x14
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x55
x14
(
x53
x57
)
=
x53
x57
⟶
False
)
⟶
False
)
⟶
(
(
x55
x14
x57
=
x57
⟶
False
)
⟶
False
)
⟶
(
(
x55
x14
x14
=
x14
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x4
x63
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x0
x65
⟶
False
)
⟶
(
x0
x63
⟶
False
)
⟶
x3
x63
(
x2
x65
)
⟶
x3
x64
x63
⟶
(
x50
x64
x65
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x0
x65
⟶
False
)
⟶
(
x0
x63
⟶
False
)
⟶
x3
x63
(
x2
x65
)
⟶
x50
x64
x65
x63
⟶
(
x3
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x3
x64
x51
⟶
x49
x63
⟶
(
x7
x64
x63
=
x61
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x3
x63
x51
⟶
(
x11
x64
x63
=
x60
x64
x63
⟶
False
)
⟶
False
)
⟶
(
(
x59
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x12
=
x5
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x3
x63
x51
⟶
(
x54
x64
x63
=
x61
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x3
x63
x51
⟶
(
x9
x63
=
x52
x63
⟶
False
)
⟶
False
)
⟶
(
(
x48
x47
⟶
False
)
⟶
False
)
⟶
(
x0
x47
⟶
False
)
⟶
(
(
x46
x45
⟶
False
)
⟶
False
)
⟶
(
(
x0
x45
⟶
False
)
⟶
False
)
⟶
(
(
x49
x44
⟶
False
)
⟶
False
)
⟶
(
(
x46
x44
⟶
False
)
⟶
False
)
⟶
(
(
x62
x44
⟶
False
)
⟶
False
)
⟶
(
(
x0
x44
⟶
False
)
⟶
False
)
⟶
(
(
x48
x43
⟶
False
)
⟶
False
)
⟶
(
(
x15
x16
⟶
False
)
⟶
False
)
⟶
(
(
x46
x16
⟶
False
)
⟶
False
)
⟶
(
(
x49
x17
⟶
False
)
⟶
False
)
⟶
(
(
x15
x17
⟶
False
)
⟶
False
)
⟶
(
(
x46
x17
⟶
False
)
⟶
False
)
⟶
(
(
x62
x17
⟶
False
)
⟶
False
)
⟶
(
(
x13
x18
⟶
False
)
⟶
False
)
⟶
(
(
x46
x18
⟶
False
)
⟶
False
)
⟶
(
(
x49
x19
⟶
False
)
⟶
False
)
⟶
(
(
x13
x19
⟶
False
)
⟶
False
)
⟶
(
(
x46
x19
⟶
False
)
⟶
False
)
⟶
(
(
x62
x19
⟶
False
)
⟶
False
)
⟶
(
x0
x20
⟶
False
)
⟶
(
(
x6
x42
⟶
False
)
⟶
False
)
⟶
(
(
x21
x22
⟶
False
)
⟶
False
)
⟶
(
(
x41
x22
⟶
False
)
⟶
False
)
⟶
(
(
x23
x22
⟶
False
)
⟶
False
)
⟶
(
x0
x22
⟶
False
)
⟶
(
(
x21
x24
⟶
False
)
⟶
False
)
⟶
(
x0
x24
⟶
False
)
⟶
(
(
x3
x24
(
x2
x51
)
⟶
False
)
⟶
False
)
⟶
(
(
x40
x39
⟶
False
)
⟶
False
)
⟶
(
(
x46
x25
⟶
False
)
⟶
False
)
⟶
(
(
x49
x38
⟶
False
)
⟶
False
)
⟶
(
(
x0
x26
⟶
False
)
⟶
False
)
⟶
(
(
x6
x37
⟶
False
)
⟶
False
)
⟶
(
(
x49
x37
⟶
False
)
⟶
False
)
⟶
(
(
x62
x37
⟶
False
)
⟶
False
)
⟶
(
(
x46
x37
⟶
False
)
⟶
False
)
⟶
(
(
x3
x37
x51
⟶
False
)
⟶
False
)
⟶
(
(
x21
x27
⟶
False
)
⟶
False
)
⟶
(
(
x40
x36
⟶
False
)
⟶
False
)
⟶
(
(
x49
x36
⟶
False
)
⟶
False
)
⟶
(
(
x62
x36
⟶
False
)
⟶
False
)
⟶
(
(
x46
x36
⟶
False
)
⟶
False
)
⟶
(
(
x3
x36
x51
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x52
(
x52
x63
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x53
(
x53
x63
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x3
x63
x51
⟶
(
x9
(
x9
x63
)
=
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x55
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x49
x63
⟶
(
x49
(
x60
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
x35
x51
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x49
x63
⟶
(
x49
(
x56
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x49
x63
⟶
(
x49
(
x61
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x6
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
(
x21
x5
⟶
False
)
⟶
False
)
⟶
(
x0
x5
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x49
x63
⟶
(
x49
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x6
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x62
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x49
x63
⟶
(
x49
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x49
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x6
x64
⟶
x6
x63
⟶
(
x6
(
x60
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x48
x64
⟶
(
x0
x63
⟶
False
)
⟶
x48
x63
⟶
x0
(
x55
x63
x64
)
⟶
False
)
⟶
(
∀ x63 x64 .
x40
x64
⟶
x40
x63
⟶
(
x40
(
x56
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x49
x63
⟶
(
x49
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x49
x63
⟶
(
x62
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x6
x64
⟶
x6
x63
⟶
(
x6
(
x56
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x48
x64
⟶
(
x0
x63
⟶
False
)
⟶
x48
x63
⟶
x0
(
x55
x64
x63
)
⟶
False
)
⟶
(
∀ x63 .
x40
x63
⟶
(
x40
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x40
x63
⟶
(
x62
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x13
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x60
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x60
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x60
x63
x64
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x60
x64
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x52
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x6
x64
⟶
x6
x63
⟶
(
x6
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x48
x64
⟶
x48
x63
⟶
(
x48
(
x61
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x40
x64
⟶
x40
x63
⟶
(
x40
(
x61
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x15
x63
⟶
x49
x63
⟶
(
x15
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x15
x63
⟶
x49
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x52
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x13
x63
⟶
x49
x63
⟶
(
x13
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x13
x63
⟶
x49
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x61
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x13
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x61
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x13
x64
⟶
False
)
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x61
x63
x64
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x13
x64
⟶
False
)
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x61
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
x15
x64
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
(
x13
(
x56
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x15
x64
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
(
x15
(
x56
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x13
x64
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
(
x15
(
x56
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
x1
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x6
x64
⟶
x6
x63
⟶
(
x6
(
x61
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
x0
x51
⟶
False
)
⟶
(
∀ x63 x64 .
x48
x64
⟶
x48
x63
⟶
(
x48
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x40
x64
⟶
x40
x63
⟶
(
x40
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x13
x64
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
(
x13
(
x56
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x56
x63
x64
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x15
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x56
x64
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x53
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
(
x62
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x15
(
x53
x63
)
⟶
False
)
⟶
(
∀ x63 .
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
(
x62
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x15
x64
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
(
x15
(
x55
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x15
x64
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
(
x15
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x13
x64
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
(
x13
(
x55
x63
x64
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x13
x64
⟶
x49
x64
⟶
(
x15
x63
⟶
False
)
⟶
x49
x63
⟶
(
x13
(
x55
x64
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x13
x64
⟶
False
)
⟶
x49
x64
⟶
(
x13
x63
⟶
False
)
⟶
x49
x63
⟶
x13
(
x55
x64
x63
)
⟶
False
)
⟶
(
∀ x63 x64 .
(
x0
x64
⟶
False
)
⟶
(
x0
x63
⟶
False
)
⟶
x3
x63
(
x2
x64
)
⟶
(
x50
(
x34
x63
x64
)
x64
x63
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
(
x3
(
x28
x63
)
x63
⟶
False
)
⟶
False
)
⟶
(
(
x0
x33
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 x65 .
(
x0
x65
⟶
False
)
⟶
(
x0
x63
⟶
False
)
⟶
x3
x63
(
x2
x65
)
⟶
x50
x64
x65
x63
⟶
(
x3
x64
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x3
x64
x51
⟶
x49
x63
⟶
(
x3
(
x7
x64
x63
)
x51
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x3
x63
x51
⟶
(
x3
(
x11
x64
x63
)
x51
⟶
False
)
⟶
False
)
⟶
(
(
x50
x59
x51
x12
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x62
(
x52
x63
)
⟶
False
)
⟶
False
)
⟶
(
(
x3
x12
(
x2
x51
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x62
x63
⟶
(
x62
(
x53
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 x64 .
x49
x64
⟶
x3
x63
x51
⟶
(
x3
(
x54
x64
x63
)
x51
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x3
x63
x51
⟶
(
x3
(
x9
x63
)
x51
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x40
(
x10
x63
)
⟶
False
)
⟶
False
)
⟶
(
∀ x63 .
x6
x63
⟶
(
x50
(