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Proofgold Asset
asset id
8be3ed5cddd3f1cfbfe08864545301f482ac2ad9cdf3d9dc94ae8975216b0ae6
asset hash
4efaf194dfd62af4531943a287f417a09c04a2d4fa0091fb642ca625cb8a5a6d
bday / block
35150
tx
d4d19..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
16160..
:
∀ x0 :
ι → ο
.
∀ x1 :
ι →
ι → ο
.
∀ x2 x3 :
ι → ι
.
∀ x4 :
ι →
ι →
ι → ι
.
∀ x5 :
ι →
ι →
ι →
ι → ι
.
∀ x6 :
ι →
ι →
ι → ι
.
∀ x7 .
∀ x8 :
ι →
ι → ι
.
∀ x9 :
ι → ο
.
∀ x10 :
ι →
ι → ο
.
∀ x11 .
∀ x12 :
ι →
ι → ι
.
∀ x13 :
ι → ο
.
∀ x14 x15 x16 .
∀ x17 :
ι → ι
.
∀ x18 x19 x20 .
∀ x21 :
ι → ο
.
∀ x22 x23 .
∀ x24 :
ι →
ι →
ι → ι
.
∀ x25 :
ι → ι
.
∀ x26 x27 :
ι → ο
.
∀ x28 x29 x30 .
∀ x31 :
ι → ο
.
∀ x32 :
ι → ι
.
∀ x33 :
ι →
ι → ο
.
∀ x34 :
ι →
ι → ι
.
∀ x35 :
ι → ο
.
∀ x36 :
ι → ι
.
∀ x37 x38 :
ι →
ι →
ι →
ι → ι
.
∀ x39 .
∀ x40 :
ι → ι
.
∀ x41 x42 .
∀ x43 :
ι → ο
.
∀ x44 .
∀ x45 :
ι → ο
.
∀ x46 :
ι → ι
.
∀ x47 .
∀ x48 :
ι →
ι → ο
.
∀ x49 :
ι → ι
.
∀ x50 x51 x52 .
∀ x53 :
ι → ι
.
∀ x54 :
ι → ο
.
∀ x55 :
ι →
ι →
ι → ο
.
∀ x56 .
∀ x57 :
ι →
ι → ι
.
∀ x58 :
ι →
ι →
ι → ι
.
∀ x59 :
ι →
ι → ι
.
∀ x60 .
∀ x61 :
ι →
ι → ο
.
∀ x62 x63 :
ι → ο
.
∀ x64 :
ι →
ι → ο
.
∀ x65 :
ι → ο
.
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
(
x64
x67
x66
⟶
False
)
⟶
(
x63
x66
⟶
False
)
⟶
(
x62
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x0
x67
⟶
(
x67
=
x66
⟶
False
)
⟶
x0
x66
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
(
x64
x67
x66
⟶
False
)
⟶
(
x62
x67
⟶
False
)
⟶
(
x63
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x9
x67
⟶
x64
x66
(
x8
x67
x7
)
⟶
(
x4
(
x3
x69
)
(
x5
x69
x68
x66
x67
)
(
x6
x69
x68
(
x8
x67
x7
)
)
=
x6
x69
x68
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x61
x66
x67
⟶
x0
x67
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
x64
x67
x66
⟶
(
x0
x67
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
(
x63
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
(
x66
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x61
x66
x67
⟶
x1
x67
(
x2
x68
)
⟶
x0
x68
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
x64
x67
x66
⟶
(
x0
x66
⟶
False
)
⟶
(
x63
x67
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x61
x67
x68
⟶
x1
x68
(
x2
x66
)
⟶
(
x1
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
x64
x67
x66
⟶
(
x62
x66
⟶
False
)
⟶
x62
x67
⟶
False
)
⟶
(
∀ x66 x67 .
x10
x67
x66
⟶
(
x1
x67
(
x2
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x1
x67
(
x2
x66
)
⟶
(
x10
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
x64
x67
x66
⟶
(
x63
x67
⟶
False
)
⟶
x63
x66
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x61
x67
x68
⟶
x61
x66
x68
⟶
x61
x66
(
x59
x68
x67
)
⟶
False
)
⟶
(
∀ x66 x67 .
x61
x67
x66
⟶
(
x61
(
x59
x66
x67
)
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x1
x66
x67
⟶
(
x0
x67
⟶
False
)
⟶
(
x61
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
x64
x67
x66
⟶
x63
x66
⟶
(
x63
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
(
x3
x68
)
)
⟶
x9
x66
⟶
(
x5
x68
x67
x66
x66
=
x58
x68
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x61
x67
x66
⟶
(
x1
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
x64
x67
x66
⟶
x62
x67
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
(
x1
x60
x11
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x57
x66
x60
=
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
x9
x66
⟶
x64
x67
x66
⟶
x64
(
x12
x66
x7
)
x67
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
x9
x66
⟶
(
x64
(
x12
x66
x7
)
x67
⟶
False
)
⟶
(
x64
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x13
x68
⟶
x13
x66
⟶
x13
x67
⟶
(
x8
(
x8
x68
x66
)
x67
=
x8
x68
(
x8
x66
x67
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
x7
x56
⟶
False
)
⟶
False
)
⟶
(
(
x1
x7
x14
⟶
False
)
⟶
False
)
⟶
(
(
x55
x7
x56
x14
⟶
False
)
⟶
False
)
⟶
(
(
x62
x7
⟶
False
)
⟶
False
)
⟶
(
x0
x7
⟶
False
)
⟶
(
(
x64
x7
x7
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x54
x67
⟶
x54
x66
⟶
(
x64
x67
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x10
x66
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
(
x0
x68
⟶
False
)
⟶
(
x0
x66
⟶
False
)
⟶
x1
x66
(
x2
x68
)
⟶
x1
x67
x66
⟶
(
x55
x67
x68
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
(
x0
x68
⟶
False
)
⟶
(
x0
x66
⟶
False
)
⟶
x1
x66
(
x2
x68
)
⟶
x55
x67
x68
x66
⟶
(
x1
x67
x66
⟶
False
)
⟶
False
)
⟶
(
(
x14
=
x11
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
x68
)
⟶
x1
x66
(
x2
x68
)
⟶
(
x4
x68
x67
x66
=
x57
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x53
x66
=
x3
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
x1
x66
x14
⟶
(
x12
x67
x66
=
x8
x67
x66
⟶
False
)
⟶
False
)
⟶
(
(
x9
x52
⟶
False
)
⟶
False
)
⟶
(
x0
x52
⟶
False
)
⟶
(
(
x54
x51
⟶
False
)
⟶
False
)
⟶
(
(
x0
x51
⟶
False
)
⟶
False
)
⟶
(
(
x65
x50
⟶
False
)
⟶
False
)
⟶
(
(
x54
x50
⟶
False
)
⟶
False
)
⟶
(
(
x13
x50
⟶
False
)
⟶
False
)
⟶
(
(
x0
x50
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
(
x48
(
x49
x66
)
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
(
x1
(
x49
x66
)
(
x2
x66
)
⟶
False
)
⟶
False
)
⟶
(
(
x9
x47
⟶
False
)
⟶
False
)
⟶
(
(
x63
x15
⟶
False
)
⟶
False
)
⟶
(
(
x54
x15
⟶
False
)
⟶
False
)
⟶
(
(
x65
x16
⟶
False
)
⟶
False
)
⟶
(
(
x63
x16
⟶
False
)
⟶
False
)
⟶
(
(
x54
x16
⟶
False
)
⟶
False
)
⟶
(
(
x13
x16
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x48
(
x17
x66
)
x66
⟶
False
)
⟶
(
∀ x66 .
(
x1
(
x17
x66
)
(
x2
x66
)
⟶
False
)
⟶
False
)
⟶
(
(
x62
x18
⟶
False
)
⟶
False
)
⟶
(
(
x54
x18
⟶
False
)
⟶
False
)
⟶
(
(
x65
x19
⟶
False
)
⟶
False
)
⟶
(
(
x62
x19
⟶
False
)
⟶
False
)
⟶
(
(
x54
x19
⟶
False
)
⟶
False
)
⟶
(
(
x13
x19
⟶
False
)
⟶
False
)
⟶
(
x0
x20
⟶
False
)
⟶
(
∀ x66 .
(
x0
(
x46
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x1
(
x46
x66
)
(
x2
x66
)
⟶
False
)
⟶
False
)
⟶
(
(
x45
x44
⟶
False
)
⟶
False
)
⟶
(
(
x21
x44
⟶
False
)
⟶
False
)
⟶
(
(
x43
x44
⟶
False
)
⟶
False
)
⟶
(
x0
x44
⟶
False
)
⟶
(
(
x45
x42
⟶
False
)
⟶
False
)
⟶
(
x0
x42
⟶
False
)
⟶
(
(
x1
x42
(
x2
x56
)
⟶
False
)
⟶
False
)
⟶
(
(
x54
x22
⟶
False
)
⟶
False
)
⟶
(
(
x65
x41
⟶
False
)
⟶
False
)
⟶
(
(
x0
x23
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
x0
(
x40
x66
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
(
x1
(
x40
x66
)
(
x2
x66
)
⟶
False
)
⟶
False
)
⟶
(
(
x45
x39
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
x68
)
⟶
x1
x66
(
x2
x68
)
⟶
(
x4
x68
x67
x67
=
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x57
x66
x66
=
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 x70 x71 .
x1
x70
(
x2
(
x3
x71
)
)
⟶
x9
x66
⟶
x1
x69
(
x2
(
x3
x71
)
)
⟶
x67
=
x69
⟶
x9
x68
⟶
x64
x66
x68
⟶
x69
=
x58
x71
x70
x68
⟶
(
x61
x67
(
x24
x71
x70
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x61
x67
(
x24
x69
x68
x66
)
⟶
(
x38
x66
x68
x69
x67
=
x58
x69
x68
(
x37
x66
x68
x69
x67
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x61
x67
(
x24
x69
x68
x66
)
⟶
(
x64
x66
(
x37
x66
x68
x69
x67
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x61
x67
(
x24
x69
x68
x66
)
⟶
(
x9
(
x37
x66
x68
x69
x67
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x61
x67
(
x24
x69
x68
x66
)
⟶
(
x67
=
x38
x66
x68
x69
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x61
x67
(
x24
x69
x68
x66
)
⟶
(
x1
(
x38
x66
x68
x69
x67
)
(
x2
(
x3
x69
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x63
x67
⟶
False
)
⟶
x65
x67
⟶
(
x63
x66
⟶
False
)
⟶
x65
x66
⟶
x63
(
x8
x67
x66
)
⟶
False
)
⟶
(
(
x45
x11
⟶
False
)
⟶
False
)
⟶
(
x0
x11
⟶
False
)
⟶
(
∀ x66 x67 .
x65
x67
⟶
x65
x66
⟶
(
x65
(
x8
x67
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x0
x67
⟶
False
)
⟶
x0
(
x57
x66
x67
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x0
x67
⟶
False
)
⟶
x0
(
x57
x67
x66
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
(
x0
x66
⟶
False
)
⟶
x9
x66
⟶
x0
(
x8
x66
x67
)
⟶
False
)
⟶
(
∀ x66 .
x45
x66
⟶
(
x45
(
x36
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
(
x0
x66
⟶
False
)
⟶
x9
x66
⟶
x0
(
x8
x67
x66
)
⟶
False
)
⟶
(
∀ x66 .
(
x35
(
x3
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
(
x3
x66
)
⟶
False
)
⟶
(
(
x0
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
(
x2
x66
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
x9
x66
⟶
(
x9
(
x8
x67
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x63
x67
⟶
x65
x67
⟶
(
x62
x66
⟶
False
)
⟶
x65
x66
⟶
(
x63
(
x8
x66
x67
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x63
x67
⟶
x65
x67
⟶
(
x62
x66
⟶
False
)
⟶
x65
x66
⟶
(
x63
(
x8
x67
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x62
x67
⟶
x65
x67
⟶
(
x63
x66
⟶
False
)
⟶
x65
x66
⟶
(
x62
(
x8
x66
x67
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x62
x67
⟶
x65
x67
⟶
(
x63
x66
⟶
False
)
⟶
x65
x66
⟶
(
x62
(
x8
x67
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x62
x67
⟶
False
)
⟶
x65
x67
⟶
(
x62
x66
⟶
False
)
⟶
x65
x66
⟶
x62
(
x8
x67
x66
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x66
⟶
False
)
⟶
x1
x66
(
x2
x67
)
⟶
(
x55
(
x34
x66
x67
)
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x1
(
x25
x66
)
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x33
(
x32
x66
)
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
(
x0
x68
⟶
False
)
⟶
(
x0
x66
⟶
False
)
⟶
x1
x66
(
x2
x68
)
⟶
x55
x67
x68
x66
⟶
(
x1
x67
x68
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x33
x67
x66
⟶
(
x35
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x33
x67
x66
⟶
x0
x67
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
(
x53
x68
)
)
⟶
x9
x66
⟶
(
x1
(
x58
x68
x67
x66
)
(
x2
(
x53
x68
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
x14
(
x2
x56
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
x68
)
⟶
x1
x66
(
x2
x68
)
⟶
(
x1
(
x4
x68
x67
x66
)
(
x2
x68
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x33
(
x53
x66
)
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
x1
x66
x14
⟶
(
x55
(
x12
x67
x66
)
x56
x14
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
(
x3
x68
)
)
⟶
x9
x66
⟶
(
x1
(
x6
x68
x67
x66
)
(
x2
(
x3
x68
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 x69 .
x1
x68
(
x2
(
x3
x69
)
)
⟶
x9
x66
⟶
x9
x67
⟶
(
x1
(
x5
x69
x68
x66
x67
)
(
x2
(
x3
x69
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
(
x3
x68
)
)
⟶
x9
x66
⟶
(
x6
x68
x67
x66
=
x36
(
x24
x68
x67
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x54
x67
⟶
x54
x66
⟶
(
x64
x67
x66
⟶
False
)
⟶
(
x64
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 x68 .
x1
x67
(
x2
x68
)
⟶
x1
x66
(
x2
x68
)
⟶
(
x4
x68
x67
x66
=
x4
x68
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x13
x67
⟶
x13
x66
⟶
(
x8
x67
x66
=
x8
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x57
x67
x66
=
x57
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x9
x67
⟶
x1
x66
x14
⟶
(
x12
x67
x66
=
x12
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
(
x26
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
(
x62
x66
⟶
False
)
⟶
(
x63
x66
⟶
False
)
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
(
x62
x66
⟶
False
)
⟶
(
x63
x66
⟶
False
)
⟶
(
x0
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x1
x66
x11
⟶
(
x9
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
x54
x66
⟶
x63
x66
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
x54
x66
⟶
x62
x66
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
x54
x66
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
(
x9
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
x54
x66
⟶
(
x62
x66
⟶
False
)
⟶
(
x63
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
x54
x66
⟶
(
x62
x66
⟶
False
)
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
(
x45
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
x63
x66
⟶
x62
x66
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
x63
x66
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
x63
x66
⟶
x0
x66
⟶
False
)
⟶
(
∀ x66 x67 .
x45
x67
⟶
x1
x66
x67
⟶
(
x45
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
x54
x66
⟶
(
x63
x66
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
(
x0
x66
⟶
False
)
⟶
x54
x66
⟶
(
x63
x66
⟶
False
)
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x65
x66
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x0
x67
⟶
x1
x66
(
x2
x67
)
⟶
x48
x66
x67
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
(
x31
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
x62
x66
⟶
x63
x66
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
x62
x66
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x54
x66
⟶
x62
x66
⟶
x0
x66
⟶
False
)
⟶
(
∀ x66 .
x65
x66
⟶
(
x13
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x0
x67
⟶
False
)
⟶
x1
x66
(
x2
x67
)
⟶
x0
x66
⟶
(
x48
x66
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x0
x66
⟶
(
x45
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
x63
x66
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
(
x9
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
(
x54
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
(
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
(
x0
x67
⟶
False
)
⟶
x1
x66
(
x2
x67
)
⟶
(
x48
x66
x67
⟶
False
)
⟶
x0
x66
⟶
False
)
⟶
(
∀ x66 .
x43
x66
⟶
x21
x66
⟶
(
x45
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x1
x66
x14
⟶
x63
x66
⟶
False
)
⟶
(
∀ x66 .
x1
x66
x56
⟶
(
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x0
x67
⟶
x1
x66
(
x2
x67
)
⟶
(
x0
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x45
x66
⟶
(
x21
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x45
x66
⟶
(
x43
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
(
x9
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 .
x9
x66
⟶
(
x45
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x26
x67
⟶
x1
x66
(
x2
x67
)
⟶
(
x26
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x1
x67
(
x3
x66
)
⟶
(
x27
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x1
x67
(
x3
x66
)
⟶
(
x31
x67
⟶
False
)
⟶
False
)
⟶
(
∀ x66 x67 .
x61
x66
x67
⟶
x61
x67
x66
⟶
False
)
⟶
(
x4
(
x3
x28
)
(
x58
x28
x29
x30
)
(
x6
x28
x29
(
x8
x30
x7
)
)
=
x6
x28
x29
x30
⟶
False
)
⟶
(
(
x9
x30
⟶
False
)
⟶
False
)
⟶
(
(
x1
x29
(
x2
(
x3
x28
)
)
⟶
False
)
⟶
False
)
⟶
False
(proof)