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Proofgold Asset
asset id
248cf66854631bf5a24ab0f8a20e645d4e04b92935e554b9f79ce790c58d129b
asset hash
8d486f412d069a2239ddb91f1b073627a1e991e7479f25d8a9ff0882e1476a96
bday / block
35133
tx
13b01..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
9d5c8..
:
∀ x0 :
ι → ο
.
∀ x1 :
ι →
ι → ο
.
∀ x2 .
∀ x3 :
ι → ι
.
∀ x4 x5 :
ι →
ι → ο
.
∀ x6 :
ι →
ι → ι
.
∀ x7 :
ι → ι
.
∀ x8 :
ι →
ι → ι
.
∀ x9 .
∀ x10 :
ι → ο
.
∀ x11 x12 :
ι →
ι → ι
.
∀ x13 x14 x15 .
∀ x16 :
ι → ο
.
∀ x17 x18 x19 x20 .
∀ x21 :
ι → ο
.
∀ x22 x23 x24 x25 x26 x27 .
∀ x28 :
ι → ι
.
∀ x29 x30 x31 .
∀ x32 x33 :
ι → ο
.
∀ x34 :
ι →
ι → ι
.
∀ x35 :
ι → ο
.
∀ x36 x37 x38 x39 x40 x41 x42 .
∀ x43 x44 x45 :
ι → ο
.
∀ x46 x47 x48 .
∀ x49 :
ι → ι
.
∀ x50 :
ι → ο
.
∀ x51 :
ι → ι
.
∀ x52 :
ι → ο
.
∀ x53 .
∀ x54 :
ι → ι
.
∀ x55 :
ι →
ι → ο
.
∀ x56 .
∀ x57 :
ι →
ι →
ι → ο
.
∀ x58 x59 .
∀ x60 :
ι → ο
.
∀ x61 .
∀ x62 :
ι →
ι → ι
.
∀ x63 :
ι → ο
.
∀ x64 :
ι →
ι → ι
.
∀ x65 x66 :
ι → ο
.
∀ x67 :
ι →
ι → ο
.
∀ x68 :
ι → ο
.
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x67
x70
x69
⟶
False
)
⟶
(
x66
x69
⟶
False
)
⟶
(
x65
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x0
x70
⟶
(
x70
=
x69
⟶
False
)
⟶
x0
x69
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x67
x70
x69
⟶
False
)
⟶
(
x65
x70
⟶
False
)
⟶
(
x66
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x1
x69
x70
⟶
x0
x70
⟶
False
)
⟶
(
∀ x69 x70 x71 .
x68
x71
⟶
x68
x69
⟶
x68
x70
⟶
x67
(
x64
x71
x70
)
(
x64
x69
x70
)
⟶
(
x67
x71
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 x71 .
x68
x71
⟶
x68
x69
⟶
x68
x70
⟶
x67
x71
x69
⟶
(
x67
(
x64
x71
x70
)
(
x64
x69
x70
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x70
x69
⟶
(
x0
x70
⟶
False
)
⟶
(
x65
x69
⟶
False
)
⟶
(
x66
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
x0
x69
⟶
(
x69
=
x2
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
x63
x69
⟶
(
x62
x69
x61
=
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 x71 .
x1
x69
x70
⟶
x4
x70
(
x3
x71
)
⟶
x0
x71
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x70
x69
⟶
(
x0
x69
⟶
False
)
⟶
(
x66
x70
⟶
False
)
⟶
(
x65
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 x71 .
x1
x70
x71
⟶
x4
x71
(
x3
x69
)
⟶
(
x4
x70
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x70
x69
⟶
(
x65
x69
⟶
False
)
⟶
x65
x70
⟶
False
)
⟶
(
∀ x69 x70 .
x5
x70
x69
⟶
(
x4
x70
(
x3
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x4
x70
(
x3
x69
)
⟶
(
x5
x70
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x70
x69
⟶
(
x66
x70
⟶
False
)
⟶
x66
x69
⟶
False
)
⟶
(
∀ x69 x70 x71 .
x60
x71
⟶
x60
x69
⟶
x60
x70
⟶
x67
x71
x69
⟶
x67
x69
x70
⟶
(
x67
x71
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x4
x69
x70
⟶
(
x0
x70
⟶
False
)
⟶
(
x1
x69
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x70
x69
⟶
x66
x69
⟶
(
x66
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x69
x70
⟶
(
x64
(
x6
x70
x69
)
x69
=
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x1
x70
x69
⟶
(
x4
x70
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x67
x70
x69
⟶
x65
x70
⟶
(
x65
x69
⟶
False
)
⟶
False
)
⟶
(
(
x4
x2
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x63
x70
⟶
x63
x69
⟶
(
x8
(
x7
x70
)
(
x7
x69
)
=
x8
x69
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x63
x70
⟶
x63
x69
⟶
(
x64
(
x7
x70
)
(
x7
x69
)
=
x7
(
x64
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 x71 .
x63
x71
⟶
x63
x69
⟶
x63
x70
⟶
(
x64
(
x64
x71
x69
)
x70
=
x64
x71
(
x64
x69
x70
)
⟶
False
)
⟶
False
)
⟶
(
(
x4
x61
x58
⟶
False
)
⟶
False
)
⟶
(
(
x4
x61
x9
⟶
False
)
⟶
False
)
⟶
(
(
x57
x61
x58
x9
⟶
False
)
⟶
False
)
⟶
(
(
x65
x61
⟶
False
)
⟶
False
)
⟶
(
x0
x61
⟶
False
)
⟶
(
∀ x69 x70 .
x63
x70
⟶
x63
x69
⟶
(
x64
x70
(
x7
x69
)
=
x8
x70
x69
⟶
False
)
⟶
False
)
⟶
(
(
x4
x56
x58
⟶
False
)
⟶
False
)
⟶
(
(
x4
x56
x9
⟶
False
)
⟶
False
)
⟶
(
(
x57
x56
x58
x9
⟶
False
)
⟶
False
)
⟶
(
(
x0
x56
⟶
False
)
⟶
False
)
⟶
(
(
x7
(
x7
x61
)
=
x61
⟶
False
)
⟶
False
)
⟶
(
(
x7
x61
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x7
x56
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x62
(
x7
x61
)
x61
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x62
x61
(
x7
x61
)
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x62
x61
x61
=
x61
⟶
False
)
⟶
False
)
⟶
(
(
x8
(
x7
x61
)
(
x7
x61
)
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x8
(
x7
x61
)
x56
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x8
x61
x61
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x8
x61
x56
=
x61
⟶
False
)
⟶
False
)
⟶
(
(
x8
x56
(
x7
x61
)
=
x61
⟶
False
)
⟶
False
)
⟶
(
(
x8
x56
x61
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x8
x56
x56
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x64
(
x7
x61
)
x61
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x64
(
x7
x61
)
x56
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x64
x61
(
x7
x61
)
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x64
x61
x56
=
x61
⟶
False
)
⟶
False
)
⟶
(
(
x64
x56
(
x7
x61
)
=
x7
x61
⟶
False
)
⟶
False
)
⟶
(
(
x64
x56
x61
=
x61
⟶
False
)
⟶
False
)
⟶
(
(
x64
x56
x56
=
x56
⟶
False
)
⟶
False
)
⟶
(
(
x67
(
x7
x61
)
(
x7
x61
)
⟶
False
)
⟶
False
)
⟶
(
(
x67
(
x7
x61
)
x61
⟶
False
)
⟶
False
)
⟶
(
(
x67
(
x7
x61
)
x56
⟶
False
)
⟶
False
)
⟶
(
x67
x61
(
x7
x61
)
⟶
False
)
⟶
(
(
x67
x61
x61
⟶
False
)
⟶
False
)
⟶
(
x67
x61
x56
⟶
False
)
⟶
(
x67
x56
(
x7
x61
)
⟶
False
)
⟶
(
(
x67
x56
x61
⟶
False
)
⟶
False
)
⟶
(
(
x67
x56
x56
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x60
x70
⟶
x60
x69
⟶
(
x67
x70
x70
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
(
x5
x69
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 x71 .
(
x0
x71
⟶
False
)
⟶
(
x0
x69
⟶
False
)
⟶
x4
x69
(
x3
x71
)
⟶
x4
x70
x69
⟶
(
x57
x70
x71
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 x71 .
(
x0
x71
⟶
False
)
⟶
(
x0
x69
⟶
False
)
⟶
x4
x69
(
x3
x71
)
⟶
x57
x70
x71
x69
⟶
(
x4
x70
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x10
x70
⟶
x10
x69
⟶
(
x11
x70
x69
=
x6
x70
x69
⟶
False
)
⟶
False
)
⟶
(
(
x9
=
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x4
x70
x9
⟶
x10
x69
⟶
(
x12
x70
x69
=
x64
x70
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
(
x0
x69
⟶
False
)
⟶
(
x55
(
x54
x69
)
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
(
x0
x69
⟶
False
)
⟶
(
x4
(
x54
x69
)
(
x3
x69
)
⟶
False
)
⟶
False
)
⟶
(
(
x10
x53
⟶
False
)
⟶
False
)
⟶
(
x0
x53
⟶
False
)
⟶
(
∀ x69 .
x52
x69
⟶
(
x55
(
x51
x69
)
x69
⟶
False
)
⟶
False
)
⟶
(
(
x60
x13
⟶
False
)
⟶
False
)
⟶
(
(
x0
x13
⟶
False
)
⟶
False
)
⟶
(
(
x68
x14
⟶
False
)
⟶
False
)
⟶
(
(
x60
x14
⟶
False
)
⟶
False
)
⟶
(
(
x63
x14
⟶
False
)
⟶
False
)
⟶
(
(
x0
x14
⟶
False
)
⟶
False
)
⟶
(
(
x10
x15
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
(
x50
x69
⟶
False
)
⟶
x50
(
x49
x69
)
⟶
False
)
⟶
(
∀ x69 .
(
x50
x69
⟶
False
)
⟶
(
x4
(
x49
x69
)
(
x3
x69
)
⟶
False
)
⟶
False
)
⟶
(
(
x66
x48
⟶
False
)
⟶
False
)
⟶
(
(
x60
x48
⟶
False
)
⟶
False
)
⟶
(
(
x68
x47
⟶
False
)
⟶
False
)
⟶
(
(
x66
x47
⟶
False
)
⟶
False
)
⟶
(
(
x60
x47
⟶
False
)
⟶
False
)
⟶
(
(
x63
x47
⟶
False
)
⟶
False
)
⟶
(
(
x52
x46
⟶
False
)
⟶
False
)
⟶
(
(
x50
x46
⟶
False
)
⟶
False
)
⟶
(
(
x68
x46
⟶
False
)
⟶
False
)
⟶
(
(
x60
x46
⟶
False
)
⟶
False
)
⟶
(
(
x63
x46
⟶
False
)
⟶
False
)
⟶
(
(
x10
x46
⟶
False
)
⟶
False
)
⟶
(
(
x45
x46
⟶
False
)
⟶
False
)
⟶
(
(
x16
x46
⟶
False
)
⟶
False
)
⟶
(
(
x44
x46
⟶
False
)
⟶
False
)
⟶
(
x0
x46
⟶
False
)
⟶
(
(
x4
x46
x9
⟶
False
)
⟶
False
)
⟶
(
x50
x17
⟶
False
)
⟶
(
x43
x42
⟶
False
)
⟶
(
(
x65
x18
⟶
False
)
⟶
False
)
⟶
(
(
x60
x18
⟶
False
)
⟶
False
)
⟶
(
(
x68
x19
⟶
False
)
⟶
False
)
⟶
(
(
x65
x19
⟶
False
)
⟶
False
)
⟶
(
(
x60
x19
⟶
False
)
⟶
False
)
⟶
(
(
x63
x19
⟶
False
)
⟶
False
)
⟶
(
x0
x20
⟶
False
)
⟶
(
(
x45
x41
⟶
False
)
⟶
False
)
⟶
(
(
x16
x41
⟶
False
)
⟶
False
)
⟶
(
(
x44
x41
⟶
False
)
⟶
False
)
⟶
(
x0
x41
⟶
False
)
⟶
(
(
x45
x40
⟶
False
)
⟶
False
)
⟶
(
x0
x40
⟶
False
)
⟶
(
(
x4
x40
(
x3
x58
)
⟶
False
)
⟶
False
)
⟶
(
(
x21
x22
⟶
False
)
⟶
False
)
⟶
(
(
x52
x39
⟶
False
)
⟶
False
)
⟶
(
(
x50
x39
⟶
False
)
⟶
False
)
⟶
(
(
x45
x39
⟶
False
)
⟶
False
)
⟶
(
(
x16
x39
⟶
False
)
⟶
False
)
⟶
(
(
x44
x39
⟶
False
)
⟶
False
)
⟶
(
(
x43
x23
⟶
False
)
⟶
False
)
⟶
(
x0
x23
⟶
False
)
⟶
(
(
x60
x24
⟶
False
)
⟶
False
)
⟶
(
(
x68
x38
⟶
False
)
⟶
False
)
⟶
(
(
x0
x25
⟶
False
)
⟶
False
)
⟶
(
(
x45
x37
⟶
False
)
⟶
False
)
⟶
(
(
x52
x26
⟶
False
)
⟶
False
)
⟶
(
(
x50
x26
⟶
False
)
⟶
False
)
⟶
(
(
x68
x26
⟶
False
)
⟶
False
)
⟶
(
(
x60
x26
⟶
False
)
⟶
False
)
⟶
(
(
x63
x26
⟶
False
)
⟶
False
)
⟶
(
(
x10
x26
⟶
False
)
⟶
False
)
⟶
(
(
x45
x26
⟶
False
)
⟶
False
)
⟶
(
(
x16
x26
⟶
False
)
⟶
False
)
⟶
(
(
x44
x26
⟶
False
)
⟶
False
)
⟶
(
x0
x26
⟶
False
)
⟶
(
(
x21
x27
⟶
False
)
⟶
False
)
⟶
(
(
x68
x27
⟶
False
)
⟶
False
)
⟶
(
(
x63
x27
⟶
False
)
⟶
False
)
⟶
(
(
x60
x27
⟶
False
)
⟶
False
)
⟶
(
(
x4
x27
x58
⟶
False
)
⟶
False
)
⟶
(
(
x52
x36
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
x63
x69
⟶
(
x7
(
x7
x69
)
=
x69
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x66
x70
⟶
False
)
⟶
x68
x70
⟶
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
x66
(
x64
x70
x69
)
⟶
False
)
⟶
(
∀ x69 .
(
x50
x69
⟶
False
)
⟶
x50
(
x3
x69
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x68
(
x62
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x68
(
x8
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
x50
x59
⟶
False
)
⟶
(
(
x45
x59
⟶
False
)
⟶
False
)
⟶
(
x0
x59
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x68
(
x64
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
(
x35
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x10
x70
⟶
(
x0
x69
⟶
False
)
⟶
x10
x69
⟶
x0
(
x64
x69
x70
)
⟶
False
)
⟶
(
∀ x69 x70 .
x21
x70
⟶
x21
x69
⟶
(
x21
(
x8
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
(
x52
x59
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
x68
x69
⟶
(
x68
(
x7
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
x68
x69
⟶
(
x63
(
x7
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x10
x70
⟶
(
x0
x69
⟶
False
)
⟶
x10
x69
⟶
x0
(
x64
x70
x69
)
⟶
False
)
⟶
(
∀ x69 .
x21
x69
⟶
(
x21
(
x7
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
x21
x69
⟶
(
x63
(
x7
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x68
(
x6
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
x66
(
x6
x70
x69
)
⟶
False
)
⟶
(
∀ x69 x70 .
x68
x70
⟶
x68
x69
⟶
(
x68
(
x6
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x65
x70
⟶
False
)
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x66
(
x62
x70
x69
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x66
x70
⟶
False
)
⟶
x68
x70
⟶
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
x66
(
x62
x70
x69
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x66
x70
⟶
False
)
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x65
(
x62
x69
x70
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x66
x70
⟶
False
)
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x65
(
x62
x70
x69
)
⟶
False
)
⟶
(
∀ x69 x70 .
x66
x70
⟶
x68
x70
⟶
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
(
x65
(
x8
x69
x70
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x66
x70
⟶
x68
x70
⟶
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
(
x66
(
x8
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x65
x70
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
(
x66
(
x8
x69
x70
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
x2
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x10
x70
⟶
x10
x69
⟶
(
x10
(
x64
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x21
x70
⟶
x21
x69
⟶
(
x21
(
x64
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x65
x70
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
(
x65
(
x8
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x66
x70
⟶
False
)
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x65
(
x8
x69
x70
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x66
x70
⟶
False
)
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x66
(
x8
x70
x69
)
⟶
False
)
⟶
(
∀ x69 .
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
x65
(
x7
x69
)
⟶
False
)
⟶
(
∀ x69 .
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
(
x63
(
x7
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 .
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x66
(
x7
x69
)
⟶
False
)
⟶
(
∀ x69 .
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
(
x63
(
x7
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x66
x70
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
(
x66
(
x64
x69
x70
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x66
x70
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
(
x66
(
x64
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x65
x70
⟶
x68
x70
⟶
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
(
x65
(
x64
x69
x70
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
x65
x70
⟶
x68
x70
⟶
(
x66
x69
⟶
False
)
⟶
x68
x69
⟶
(
x65
(
x64
x70
x69
)
⟶
False
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x65
x70
⟶
False
)
⟶
x68
x70
⟶
(
x65
x69
⟶
False
)
⟶
x68
x69
⟶
x65
(
x64
x70
x69
)
⟶
False
)
⟶
(
∀ x69 x70 .
(
x0
x70
⟶
False
)
⟶
(
x0
x69
⟶
False
)
⟶
x4
x69
(
x3
x70
)
⟶
(
x57
(