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Proofgold Asset
asset id
11e98d9082fd9f20f73c304fc94435dedfc548ba9b77c3bf57eac2f12b9dfecf
asset hash
93d8a80be6ea4a63b07301eb787ec36d3730f1aa521f2c42ac1ca65a5669efec
bday / block
33926
tx
05440..
preasset
doc published by
PrDsC..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
e92bb..
t10_sin_cos8
:
∀ x0 :
ι → ο
.
∀ x1 .
∀ x2 :
ι → ο
.
∀ x3 :
ι →
ι → ο
.
∀ x4 :
ι → ι
.
∀ x5 :
ι →
ι →
ι → ο
.
∀ x6 x7 :
ι → ο
.
∀ x8 x9 :
ι →
ι → ο
.
∀ x10 x11 x12 x13 x14 x15 :
ι → ο
.
∀ x16 x17 x18 x19 .
∀ x20 :
ι → ι
.
∀ x21 x22 x23 x24 x25 x26 x27 x28 x29 x30 x31 x32 x33 .
∀ x34 :
ι → ο
.
∀ x35 .
∀ x36 x37 x38 x39 :
ι → ο
.
∀ x40 :
ι →
ι → ο
.
∀ x41 :
ι →
ι → ι
.
∀ x42 .
∀ x43 :
ι → ο
.
∀ x44 :
ι → ι
.
∀ x45 :
ι → ο
.
∀ x46 .
∀ x47 x48 :
ι →
ι → ι
.
∀ x49 :
ι → ι
.
∀ x50 .
∀ x51 :
ι → ι
.
∀ x52 .
∀ x53 :
ι →
ι → ι
.
∀ x54 :
ι → ι
.
∀ x55 :
ι →
ι → ι
.
∀ x56 :
ι → ι
.
∀ x57 :
ι →
ι → ι
.
(
x57
(
x54
(
x48
x52
x50
)
)
(
x55
(
x56
x52
)
(
x54
x50
)
)
=
x48
(
x51
x52
)
(
x49
x50
)
⟶
x57
(
x54
(
x53
x52
x50
)
)
(
x55
(
x56
x52
)
(
x54
x50
)
)
=
x53
(
x51
x52
)
(
x49
x50
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x57
(
x53
(
x49
x59
)
(
x49
x58
)
)
(
x53
x1
(
x55
(
x49
x59
)
(
x49
x58
)
)
)
=
x49
(
x53
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x57
(
x48
(
x49
x59
)
(
x49
x58
)
)
(
x48
x1
(
x55
(
x49
x59
)
(
x49
x58
)
)
)
=
x49
(
x48
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x53
(
x55
(
x56
x59
)
(
x54
x58
)
)
(
x55
(
x54
x59
)
(
x56
x58
)
)
=
x56
(
x53
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x48
(
x55
(
x56
x59
)
(
x54
x58
)
)
(
x55
(
x54
x59
)
(
x56
x58
)
)
=
x56
(
x48
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x53
(
x55
(
x54
x59
)
(
x54
x58
)
)
(
x55
(
x56
x59
)
(
x56
x58
)
)
=
x54
(
x53
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x48
(
x55
(
x54
x59
)
(
x54
x58
)
)
(
x55
(
x56
x59
)
(
x56
x58
)
)
=
x54
(
x48
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x2
x60
⟶
False
)
⟶
(
x2
x58
⟶
False
)
⟶
(
x3
x59
x58
⟶
False
)
⟶
x5
x59
x58
x60
⟶
x3
x60
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x2
x60
⟶
False
)
⟶
(
x2
x58
⟶
False
)
⟶
(
x3
x59
x60
⟶
False
)
⟶
x5
x59
x58
x60
⟶
x3
x60
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x53
(
x57
x58
x59
)
(
x57
x60
x59
)
=
x57
(
x53
x58
x60
)
x59
⟶
False
)
⟶
x6
x60
⟶
x6
x59
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x48
(
x57
x58
x59
)
(
x57
x60
x59
)
=
x57
(
x48
x58
x60
)
x59
⟶
False
)
⟶
x6
x60
⟶
x6
x59
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x48
(
x55
x58
x60
)
(
x55
x59
x60
)
=
x55
(
x48
x58
x59
)
x60
⟶
False
)
⟶
x6
x60
⟶
x6
x59
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x2
x59
⟶
False
)
⟶
(
x2
x58
⟶
False
)
⟶
(
x5
(
x47
x58
x59
)
x58
x59
⟶
False
)
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x2
x60
⟶
False
)
⟶
(
x2
x58
⟶
False
)
⟶
(
x5
x59
x60
x58
⟶
False
)
⟶
x3
x59
x58
⟶
x3
x58
(
x4
x60
)
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x60
=
x46
⟶
False
)
⟶
(
x57
(
x55
x59
x60
)
(
x55
x58
x60
)
=
x57
x59
x58
⟶
False
)
⟶
x6
x58
⟶
x6
x59
⟶
x6
x60
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x55
(
x55
x58
x59
)
x60
=
x55
x58
(
x55
x59
x60
)
⟶
False
)
⟶
x6
x60
⟶
x6
x59
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x48
(
x48
x58
x59
)
x60
=
x48
x58
(
x48
x59
x60
)
⟶
False
)
⟶
x6
x60
⟶
x6
x59
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x57
(
x55
x58
x59
)
x60
=
x55
x58
(
x57
x59
x60
)
⟶
False
)
⟶
x6
x60
⟶
x6
x59
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
(
x48
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
(
x57
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
(
x55
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x45
(
x53
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x45
(
x57
x59
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x45
(
x57
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x7
(
x53
x59
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
(
x55
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
(
x55
x59
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
(
x57
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
(
x55
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
(
x48
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x48
(
x44
x59
)
(
x44
x58
)
=
x44
(
x48
x59
x58
)
⟶
False
)
⟶
x6
x58
⟶
x6
x59
⟶
False
)
⟶
(
∀ x58 x59 x60 .
(
x3
x59
x60
⟶
False
)
⟶
x8
x59
x58
⟶
x3
x58
(
x4
x60
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x2
x59
⟶
False
)
⟶
x43
x59
⟶
x43
x58
⟶
x2
(
x48
x58
x59
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x2
x59
⟶
False
)
⟶
x43
x59
⟶
x43
x58
⟶
x2
(
x48
x59
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x3
(
x41
x59
x58
)
x42
⟶
False
)
⟶
x0
x58
⟶
x3
x59
x42
⟶
False
)
⟶
(
∀ x58 x59 x60 .
x2
x60
⟶
x8
x59
x58
⟶
x3
x58
(
x4
x60
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x45
(
x53
x58
x59
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x7
(
x53
x59
x58
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x7
(
x48
x58
x59
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
(
x7
(
x48
x59
x58
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
(
x53
x59
x58
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
(
x48
x58
x59
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
(
x48
x59
x58
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x7
(
x53
x58
x59
)
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x41
x59
x58
=
x57
x59
x58
⟶
False
)
⟶
x0
x58
⟶
x3
x59
x42
⟶
False
)
⟶
(
∀ x58 x59 .
(
x53
(
x44
x59
)
(
x44
x58
)
=
x53
x58
x59
⟶
False
)
⟶
x6
x58
⟶
x6
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x2
x59
⟶
False
)
⟶
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x40
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x2
x59
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
(
x45
x59
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x40
x58
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
x58
⟶
x40
x58
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x45
x59
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
x45
x58
⟶
x40
x58
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x7
x58
⟶
x40
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
x7
x58
⟶
x40
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x48
x59
(
x44
x58
)
=
x53
x59
x58
⟶
False
)
⟶
x6
x58
⟶
x6
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x9
x59
x58
⟶
False
)
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
x8
x58
x59
⟶
x8
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x43
(
x55
x59
x58
)
⟶
False
)
⟶
x43
x58
⟶
x43
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x43
(
x48
x59
x58
)
⟶
False
)
⟶
x43
x58
⟶
x43
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x0
(
x53
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x0
(
x57
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x0
(
x55
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x0
(
x48
x59
x58
)
⟶
False
)
⟶
x0
x58
⟶
x0
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x10
x59
⟶
False
)
⟶
x10
x58
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x39
x59
⟶
False
)
⟶
x39
x58
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x11
x59
⟶
False
)
⟶
x11
x58
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x38
x59
⟶
False
)
⟶
x38
x58
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x12
x59
⟶
False
)
⟶
x12
x58
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x37
x59
⟶
False
)
⟶
x37
x58
⟶
x3
x59
(
x4
x58
)
⟶
False
)
⟶
(
∀ x58 x59 .
(
x40
x58
x59
⟶
False
)
⟶
(
x40
x59
x58
⟶
False
)
⟶
x13
x58
⟶
x13
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x3
x59
(
x4
x58
)
⟶
False
)
⟶
x9
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x55
x59
x58
=
x55
x58
x59
⟶
False
)
⟶
x6
x58
⟶
x6
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x48
x59
x58
=
x48
x58
x59
⟶
False
)
⟶
x6
x58
⟶
x6
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x2
x59
⟶
False
)
⟶
(
x8
x58
x59
⟶
False
)
⟶
x3
x58
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
(
x40
x58
x59
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x7
x59
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
(
x40
x58
x59
⟶
False
)
⟶
x0
x59
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x57
(
x56
x58
)
(
x54
x58
)
=
x49
x58
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x41
(
x54
x58
)
(
x56
x58
)
=
x51
x58
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x3
x59
x58
⟶
False
)
⟶
x8
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x43
x59
⟶
False
)
⟶
x37
x58
⟶
x3
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x36
x59
⟶
False
)
⟶
x10
x58
⟶
x3
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x14
x59
⟶
False
)
⟶
x39
x58
⟶
x3
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x13
x59
⟶
False
)
⟶
x38
x58
⟶
x3
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x6
x59
⟶
False
)
⟶
x12
x58
⟶
x3
x59
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x0
x59
⟶
False
)
⟶
x11
x58
⟶
x3
x59
x58
⟶
False
)
⟶
(
∀ x58 .
(
x11
x58
⟶
False
)
⟶
x3
x58
(
x4
x42
)
⟶
False
)
⟶
(
∀ x58 .
(
x37
x58
⟶
False
)
⟶
x3
x58
(
x4
x35
)
⟶
False
)
⟶
(
∀ x58 x59 .
x2
x59
⟶
x8
x58
x59
⟶
False
)
⟶
(
∀ x58 x59 .
(
x40
x59
x59
⟶
False
)
⟶
x13
x58
⟶
x13
x59
⟶
False
)
⟶
(
∀ x58 .
(
x45
x58
⟶
False
)
⟶
x0
x58
⟶
x7
(
x44
x58
)
⟶
False
)
⟶
(
∀ x58 .
(
x7
x58
⟶
False
)
⟶
x0
x58
⟶
x45
(
x44
x58
)
⟶
False
)
⟶
(
∀ x58 .
(
x55
x58
(
x44
x1
)
=
x44
x58
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
x7
x58
⟶
x3
x58
x35
⟶
False
)
⟶
(
∀ x58 .
(
x3
(
x51
x58
)
x42
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x40
x1
(
x54
x58
)
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x37
x58
⟶
False
)
⟶
x3
x58
x35
⟶
False
)
⟶
(
∀ x58 .
(
x0
x58
⟶
False
)
⟶
x3
x58
x42
⟶
False
)
⟶
(
∀ x58 .
(
x45
x58
⟶
False
)
⟶
(
x6
(
x44
x58
)
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x7
x58
⟶
False
)
⟶
(
x6
(
x44
x58
)
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
x13
x58
⟶
x7
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 .
x13
x58
⟶
x7
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 .
x13
x58
⟶
x2
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 .
x13
x58
⟶
x2
x58
⟶
x45
x58
⟶
False
)
⟶
(
∀ x58 .
x13
x58
⟶
x2
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 .
x13
x58
⟶
x2
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 .
(
x2
x58
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x13
x58
⟶
False
)
⟶
(
∀ x58 .
(
x2
x58
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x13
x58
⟶
False
)
⟶
(
∀ x58 .
(
x2
x58
⟶
False
)
⟶
(
x7
x58
⟶
False
)
⟶
(
x45
x58
⟶
False
)
⟶
x13
x58
⟶
False
)
⟶
(
∀ x58 .
(
x55
x1
x58
=
x58
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x53
x58
x46
=
x58
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x57
x58
x1
=
x58
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x48
x58
x46
=
x58
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x57
x46
x58
=
x46
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x55
x58
x46
=
x46
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x44
(
x44
x58
)
=
x58
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x6
(
x44
x58
)
⟶
False
)
⟶
x6
x58
⟶
False
)
⟶
(
∀ x58 .
(
x6
(
x44
x58
)
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x0
(
x44
x58
)
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 x59 .
(
x59
=
x58
⟶
False
)
⟶
x2
x58
⟶
x2
x59
⟶
False
)
⟶
(
∀ x58 .
(
x58
=
x46
⟶
False
)
⟶
x56
x58
=
x46
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x58
=
x46
⟶
False
)
⟶
x49
x58
=
x46
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
x43
x58
⟶
x7
x58
⟶
False
)
⟶
(
∀ x58 .
(
x34
x58
⟶
False
)
⟶
x2
x58
⟶
False
)
⟶
(
∀ x58 .
(
x15
x58
⟶
False
)
⟶
x43
x58
⟶
False
)
⟶
(
∀ x58 .
(
x10
x58
⟶
False
)
⟶
x37
x58
⟶
False
)
⟶
(
∀ x58 .
(
x39
x58
⟶
False
)
⟶
x10
x58
⟶
False
)
⟶
(
∀ x58 .
(
x11
x58
⟶
False
)
⟶
x39
x58
⟶
False
)
⟶
(
∀ x58 .
(
x13
x58
⟶
False
)
⟶
x43
x58
⟶
False
)
⟶
(
∀ x58 .
(
x13
x58
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x38
x58
⟶
False
)
⟶
x11
x58
⟶
False
)
⟶
(
∀ x58 .
(
x6
x58
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x12
x58
⟶
False
)
⟶
x11
x58
⟶
False
)
⟶
(
∀ x58 .
(
x37
x58
⟶
False
)
⟶
x2
x58
⟶
False
)
⟶
(
∀ x58 .
(
x0
x58
⟶
False
)
⟶
x43
x58
⟶
False
)
⟶
(
∀ x58 .
(
x56
x46
=
x46
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x54
x46
=
x1
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x49
x46
=
x46
⟶
False
)
⟶
x0
x58
⟶
False
)
⟶
(
∀ x58 .
(
x58
=
x16
⟶
False
)
⟶
x2
x58
⟶
False
)
⟶
(
x40
x33
(
x44
x1
)
⟶
False
)
⟶
(
x40
x1
(
x44
x1
)
⟶
False
)
⟶
(
x40
x1
x33
⟶
False
)
⟶
(
x2
x17
⟶
False
)
⟶
(
x2
x32
⟶
False
)
⟶
(
x2
x18
⟶
False
)
⟶
(
x2
x31
⟶
False
)
⟶
(
x2
x19
⟶
False
)
⟶
(
x2
x1
⟶
False
)
⟶
(
x52
=
x46
⟶
False
)
⟶
(
(
x5
x33
x42
x35
⟶
False
)
⟶
False
)
⟶
(
(
x5
x1
x42
x35
⟶
False
)
⟶
False
)
⟶
(
(
x5
x46
x42
x35
⟶
False
)
⟶
False
)
⟶
(
(
x40
(
x44
x1
)
(
x44
x1
)
⟶
False
)
⟶
False
)
⟶
(
(
x53
(
x44
x1
)
(
x44
x1
)
=
x33
⟶
False
)
⟶
False
)
⟶
(
∀ x58 .
(
x3
(
x20
x58
)
x58
⟶
False
)
⟶
False
)
⟶
(
∀ x58 .
(
x3
(
x56
x58
)
x42
⟶
False
)
⟶
False
)
⟶
(
∀ x58 .
(
x3
(
x54
x58
)
x42
⟶
False
)
⟶
False
)
⟶
(
∀ x58 .
(
x3
(
x49
x58
)
x42
⟶
False
)
⟶
False
)
⟶
(
(
x53
(
x44
x1
)
x33
=
x44
x1
⟶
False
)
⟶
False
)
⟶
(
(
x48
(
x44
x1
)
x33
=
x44
x1
⟶
False
)
⟶
False
)
⟶
(
(
x57
x1
(
x44
x1
)
=
x44
x1
⟶
False
)
⟶
False
)
⟶
(
(
x48
x33
(
x44
x1
)
=
x44
x1
⟶
False
)
⟶
False
)
⟶
(
(
x40
(
x44
x1
)
x33
⟶
False
)
⟶
False
)
⟶
(
(
x40
(
x44
x1
)
x1
⟶
False
)
⟶
False
)
⟶
(
(
x3
x18
(
x4
x42
)
⟶
False
)
⟶
False
)
⟶
(
(
x3
x35
(
x4
x42
)
⟶
False
)
⟶
False
)
⟶
(
(
x48
(
x44
x1
)
x1
=
x33
⟶
False
)
⟶
False
)
⟶
(
(
x53
x33
(
x44
x1
)
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x48
x1
(
x44
x1
)
=
x33
⟶
False
)
⟶
False
)
⟶
(
∀ x58 .
(
x9
x58
x58
⟶
False
)
⟶
False
)
⟶
(
(
x53
x33
x1
=
x44
x1
⟶
False
)
⟶
False
)
⟶
(
(
x40
x33
x33
⟶
False
)
⟶
False
)
⟶
(
(
x40
x33
x1
⟶
False
)
⟶
False
)
⟶
(
(
x40
x1
x1
⟶
False
)
⟶
False
)
⟶
(
(
x3
x33
x42
⟶
False
)
⟶
False
)
⟶
(
(
x3
x33
x35
⟶
False
)
⟶
False
)
⟶
(
(
x3
x1
x42
⟶
False
)
⟶
False
)
⟶
(
(
x3
x1
x35
⟶
False
)
⟶
False
)
⟶
(
(
x3
x16
x21
⟶
False
)
⟶
False
)
⟶
(
(
x53
x1
x33
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x53
x1
x1
=
x33
⟶
False
)
⟶
False
)
⟶
(
(
x57
x1
x1
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x55
x33
x33
=
x33
⟶
False
)
⟶
False
)
⟶
(
(
x55
x33
x1
=
x33
⟶
False
)
⟶
False
)
⟶
(
(
x55
x1
x33
=
x33
⟶
False
)
⟶
False
)
⟶
(
(
x55
x1
x1
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x48
x33
x33
=
x33
⟶
False
)
⟶
False
)
⟶
(
(
x48
x33
x1
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x48
x1
x33
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x44
(
x44
x1
)
=
x1
⟶
False
)
⟶
False
)
⟶
(
(
x45
x22
⟶
False
)
⟶
False
)
⟶
(
(
x45
x30
⟶
False
)
⟶
False
)
⟶
(
(
x45
x1
⟶
False
)
⟶
False
)
⟶
(
(
x7
x29
⟶
False
)
⟶
False
)
⟶
(
(
x7
x23
⟶
False
)
⟶
False
)
⟶
(
(
x34
x17
⟶
False
)
⟶
False
)
⟶
(
(
x34
x21
⟶
False
)
⟶
False
)
⟶
(
(
x34
x42
⟶
False
)
⟶
False
)
⟶
(
(
x15
x18
⟶
False
)
⟶
False
)
⟶
(
(
x2
x28
⟶
False
)
⟶
False
)
⟶
(
(
x2
x24
⟶
False
)
⟶
False
)
⟶
(
(
x2
x27
⟶
False
)
⟶
False
)
⟶
(
(
x2
x33
⟶
False
)
⟶
False
)
⟶
(
(
x2
x16
⟶
False
)
⟶
False
)
⟶
(
(
x11
x42
⟶
False
)
⟶
False
)
⟶
(
(
x13
x28
⟶
False
)
⟶
False
)
⟶
(
(
x13
x24
⟶
False
)
⟶
False
)
⟶
(
(
x13
x29
⟶
False
)
⟶
False
)
⟶
(
(
x13
x23
⟶
False
)
⟶
False
)
⟶
(
(
x13
x22
⟶
False
)
⟶
False
)
⟶
(
(
x13
x30
⟶
False
)
⟶
False
)
⟶
(
(
x13
x26
⟶
False
)
⟶
False
)
⟶
(
(