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Proofgold Asset
asset id
c252fbf911b0339036133961489fa6b407b5478c79935204e4fde56e975a666a
asset hash
04b53cb40e85d4f390c77b65241b90953358472e03e35196f1674ab2c8138776
bday / block
35127
tx
eae38..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
02223..
:
∀ x0 :
ι →
ι → ο
.
∀ x1 :
ι → ι
.
∀ x2 x3 :
ι →
ι → ο
.
∀ x4 x5 .
∀ x6 :
ι →
ι →
ι → ο
.
∀ x7 :
ι →
ι →
ι → ι
.
∀ x8 :
ι → ο
.
∀ x9 .
∀ x10 :
ι →
ι → ο
.
∀ x11 :
ι → ι
.
∀ x12 :
ι → ο
.
∀ x13 :
ι → ι
.
∀ x14 :
ι → ο
.
∀ x15 :
ι → ι
.
∀ x16 :
ι → ο
.
∀ x17 :
ι → ι
.
∀ x18 :
ι → ο
.
∀ x19 .
∀ x20 :
ι → ο
.
∀ x21 .
∀ x22 :
ι → ι
.
∀ x23 :
ι →
ι → ο
.
∀ x24 .
∀ x25 :
ι → ο
.
∀ x26 x27 .
∀ x28 :
ι → ο
.
∀ x29 .
∀ x30 x31 :
ι → ι
.
∀ x32 x33 .
∀ x34 :
ι → ο
.
∀ x35 :
ι → ι
.
∀ x36 .
∀ x37 :
ι →
ι → ο
.
∀ x38 :
ι →
ι → ι
.
∀ x39 :
ι →
ι → ο
.
∀ x40 :
ι → ο
.
∀ x41 x42 x43 .
∀ x44 :
ι →
ι → ο
.
∀ x45 x46 :
ι → ο
.
∀ x47 :
ι →
ι →
ι → ι
.
∀ x48 x49 .
∀ x50 :
ι → ο
.
∀ x51 :
ι →
ι → ι
.
∀ x52 x53 x54 x55 x56 .
∀ x57 x58 :
ι → ο
.
∀ x59 .
∀ x60 :
ι → ο
.
∀ x61 .
∀ x62 x63 :
ι → ι
.
∀ x64 x65 .
∀ x66 x67 :
ι → ι
.
∀ x68 :
ι → ο
.
∀ x69 .
∀ x70 x71 :
ι → ι
.
∀ x72 :
ι →
ι → ο
.
∀ x73 :
ι → ι
.
∀ x74 x75 x76 :
ι → ο
.
∀ x77 x78 .
∀ x79 :
ι →
ι → ι
.
∀ x80 .
∀ x81 :
ι → ο
.
(
∀ x82 x83 .
x81
x83
⟶
(
x83
=
x82
⟶
False
)
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 x83 .
x0
x82
x83
⟶
x81
x83
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x82
=
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x0
x82
x83
⟶
x2
x83
(
x1
x84
)
⟶
x81
x84
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x0
x83
x84
⟶
x2
x84
(
x1
x82
)
⟶
(
x2
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x3
x83
x82
⟶
(
x2
x83
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x2
x83
(
x1
x82
)
⟶
(
x3
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x2
x82
x83
⟶
(
x81
x83
⟶
False
)
⟶
(
x0
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x79
x82
x80
=
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x3
x83
x84
⟶
(
x3
(
x79
x83
x82
)
(
x79
x84
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x3
x83
x84
⟶
x3
x84
x82
⟶
(
x3
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x0
x83
x82
⟶
(
x2
x83
x82
⟶
False
)
⟶
False
)
⟶
(
(
x2
x80
x78
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x3
x83
x84
⟶
x3
x83
x82
⟶
(
x3
x83
(
x79
x84
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x3
(
x79
x82
x83
)
x82
⟶
False
)
⟶
False
)
⟶
(
(
x2
x5
x4
⟶
False
)
⟶
False
)
⟶
(
(
x2
x5
x77
⟶
False
)
⟶
False
)
⟶
(
(
x6
x5
x4
x77
⟶
False
)
⟶
False
)
⟶
(
(
x76
x5
⟶
False
)
⟶
False
)
⟶
(
x81
x5
⟶
False
)
⟶
(
∀ x82 .
(
x3
x82
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
(
x81
x84
⟶
False
)
⟶
(
x81
x82
⟶
False
)
⟶
x2
x82
(
x1
x84
)
⟶
x2
x83
x82
⟶
(
x6
x83
x84
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
(
x81
x84
⟶
False
)
⟶
(
x81
x82
⟶
False
)
⟶
x2
x82
(
x1
x84
)
⟶
x6
x83
x84
x82
⟶
(
x2
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x2
x83
(
x1
x84
)
⟶
(
x7
x84
x82
x83
=
x79
x82
x83
⟶
False
)
⟶
False
)
⟶
(
(
x77
=
x78
⟶
False
)
⟶
False
)
⟶
(
(
x8
x9
⟶
False
)
⟶
False
)
⟶
(
x81
x9
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x10
(
x11
x82
)
x5
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x2
(
x11
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
x12
(
x13
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
(
x2
(
x13
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x14
x82
⟶
(
x10
(
x15
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x14
x82
⟶
(
x75
(
x15
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x14
x82
⟶
(
x16
(
x15
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
⟶
(
x72
(
x73
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
⟶
(
x2
(
x73
x82
)
(
x1
(
x17
x82
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x12
(
x71
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
x81
(
x71
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x2
(
x71
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x18
x19
⟶
False
)
⟶
False
)
⟶
(
x81
x19
⟶
False
)
⟶
(
x20
x21
⟶
False
)
⟶
(
(
x75
x21
⟶
False
)
⟶
False
)
⟶
(
(
x16
x21
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x14
x82
⟶
(
x10
(
x70
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x23
(
x22
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x2
(
x22
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x18
x24
⟶
False
)
⟶
False
)
⟶
(
(
x75
x69
⟶
False
)
⟶
False
)
⟶
(
(
x25
x69
⟶
False
)
⟶
False
)
⟶
(
(
x16
x69
⟶
False
)
⟶
False
)
⟶
(
x81
x69
⟶
False
)
⟶
(
∀ x82 .
(
x68
x82
⟶
False
)
⟶
x68
(
x67
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x68
x82
⟶
False
)
⟶
(
x2
(
x67
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x23
(
x66
x82
)
x82
⟶
False
)
⟶
(
∀ x82 .
(
x2
(
x66
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x75
x65
⟶
False
)
⟶
False
)
⟶
(
(
x25
x65
⟶
False
)
⟶
False
)
⟶
(
(
x16
x65
⟶
False
)
⟶
False
)
⟶
(
x68
x26
⟶
False
)
⟶
(
x12
x64
⟶
False
)
⟶
(
x81
x27
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
x23
(
x63
x82
)
x82
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
x12
(
x63
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
x81
(
x63
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
(
x2
(
x63
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
(
x62
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x2
(
x62
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x25
x61
⟶
False
)
⟶
False
)
⟶
(
(
x16
x61
⟶
False
)
⟶
False
)
⟶
(
(
x60
x59
⟶
False
)
⟶
False
)
⟶
(
(
x28
x59
⟶
False
)
⟶
False
)
⟶
(
(
x58
x59
⟶
False
)
⟶
False
)
⟶
(
x81
x59
⟶
False
)
⟶
(
(
x57
x56
⟶
False
)
⟶
False
)
⟶
(
(
x75
x56
⟶
False
)
⟶
False
)
⟶
(
(
x16
x56
⟶
False
)
⟶
False
)
⟶
(
(
x14
x29
⟶
False
)
⟶
False
)
⟶
(
(
x68
x29
⟶
False
)
⟶
False
)
⟶
(
(
x60
x29
⟶
False
)
⟶
False
)
⟶
(
(
x28
x29
⟶
False
)
⟶
False
)
⟶
(
(
x58
x29
⟶
False
)
⟶
False
)
⟶
(
(
x12
x55
⟶
False
)
⟶
False
)
⟶
(
x81
x55
⟶
False
)
⟶
(
(
x81
x54
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
(
x23
(
x30
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
(
x12
(
x30
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
x81
(
x30
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
(
x2
(
x30
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
x81
(
x31
x82
)
⟶
False
)
⟶
(
∀ x82 .
(
x81
x82
⟶
False
)
⟶
(
x2
(
x31
x82
)
(
x1
x82
)
⟶
False
)
⟶
False
)
⟶
(
(
x16
x32
⟶
False
)
⟶
False
)
⟶
(
x81
x32
⟶
False
)
⟶
(
(
x60
x33
⟶
False
)
⟶
False
)
⟶
(
(
x75
x53
⟶
False
)
⟶
False
)
⟶
(
(
x16
x53
⟶
False
)
⟶
False
)
⟶
(
(
x14
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x2
x82
(
x1
x84
)
⟶
(
x7
x84
x83
x83
=
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x79
x82
x82
=
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x68
x82
⟶
False
)
⟶
x68
(
x1
x82
)
⟶
False
)
⟶
(
x68
x78
⟶
False
)
⟶
(
(
x60
x78
⟶
False
)
⟶
False
)
⟶
(
x81
x78
⟶
False
)
⟶
(
(
x34
x78
⟶
False
)
⟶
False
)
⟶
(
(
x14
x78
⟶
False
)
⟶
False
)
⟶
(
(
x81
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
(
x1
x82
)
⟶
False
)
⟶
(
∀ x82 x83 .
x16
x83
⟶
(
x16
(
x79
x83
x82
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x81
x83
⟶
False
)
⟶
(
x81
x82
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
(
x6
(
x51
x82
x83
)
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x2
(
x35
x82
)
x82
⟶
False
)
⟶
False
)
⟶
(
(
x50
x49
⟶
False
)
⟶
False
)
⟶
(
(
x74
x36
⟶
False
)
⟶
False
)
⟶
(
(
x81
x48
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
(
x81
x84
⟶
False
)
⟶
(
x81
x82
⟶
False
)
⟶
x2
x82
(
x1
x84
)
⟶
x6
x83
x84
x82
⟶
(
x2
x83
x84
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x74
x82
⟶
(
x50
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x2
x83
(
x1
x84
)
⟶
(
x2
(
x7
x84
x82
x83
)
(
x1
x84
)
⟶
False
)
⟶
False
)
⟶
(
(
x2
x77
(
x1
x4
)
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
⟶
x2
x82
(
x1
(
x17
x84
)
)
⟶
x2
x83
(
x1
(
x17
x84
)
)
⟶
x39
x83
x84
⟶
x7
(
x17
x84
)
x82
x83
=
x38
x82
x84
⟶
(
x37
x82
x84
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x74
x83
⟶
x2
x82
(
x1
(
x17
x83
)
)
⟶
(
x3
(
x38
x82
x83
)
x82
⟶
False
)
⟶
(
x37
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x74
x83
⟶
x2
x82
(
x1
(
x17
x83
)
)
⟶
(
x2
(
x38
x82
x83
)
(
x1
(
x17
x83
)
)
⟶
False
)
⟶
(
x37
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
⟶
x2
x82
(
x1
(
x17
x84
)
)
⟶
x37
x82
x84
⟶
x2
x83
(
x1
(
x17
x84
)
)
⟶
x3
x83
x82
⟶
(
x7
(
x17
x84
)
x82
(
x47
x83
x82
x84
)
=
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
⟶
x2
x82
(
x1
(
x17
x84
)
)
⟶
x37
x82
x84
⟶
x2
x83
(
x1
(
x17
x84
)
)
⟶
x3
x83
x82
⟶
(
x39
(
x47
x83
x82
x84
)
x84
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x74
x84
⟶
x2
x82
(
x1
(
x17
x84
)
)
⟶
x37
x82
x84
⟶
x2
x83
(
x1
(
x17
x84
)
)
⟶
x3
x83
x82
⟶
(
x2
(
x47
x83
x82
x84
)
(
x1
(
x17
x84
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x80
=
x48
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x3
x83
x82
⟶
x3
x82
x83
⟶
(
x83
=
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x82
=
x83
⟶
(
x3
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x83
=
x82
⟶
(
x3
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 x84 .
x2
x83
(
x1
x84
)
⟶
(
x7
x84
x82
x83
=
x7
x84
x83
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x79
x83
x82
=
x79
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x40
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x8
x83
⟶
x2
x82
(
x1
x83
)
⟶
(
x8
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x10
x82
x5
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x10
x82
x5
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 .
x2
x82
x78
⟶
(
x18
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x8
x83
⟶
x2
x82
x83
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x8
x83
⟶
x2
x82
x83
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x10
x82
x80
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x18
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x8
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x10
x82
x80
⟶
(
x81
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x18
x82
⟶
(
x60
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x12
x82
⟶
x16
x82
⟶
x75
x82
⟶
(
x20
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x12
x82
⟶
x16
x82
⟶
x75
x82
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x12
x82
⟶
x16
x82
⟶
x75
x82
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x60
x82
⟶
x68
x82
⟶
(
x18
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x12
x83
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
(
x23
x82
x83
⟶
False
)
⟶
x12
x82
⟶
False
)
⟶
(
∀ x82 x83 .
(
x12
x83
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
(
x23
x82
x83
⟶
False
)
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 x83 .
x12
x83
⟶
x2
x82
(
x1
x83
)
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x60
x83
⟶
x2
x82
x83
⟶
(
x60
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x16
x82
⟶
x75
x82
⟶
(
x20
x82
⟶
False
)
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x16
x82
⟶
x75
x82
⟶
(
x20
x82
⟶
False
)
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x16
x82
⟶
x75
x82
⟶
(
x20
x82
⟶
False
)
⟶
x12
x82
⟶
False
)
⟶
(
∀ x82 .
x18
x82
⟶
(
x68
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x12
x83
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
x12
x82
⟶
(
x23
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
(
x12
x83
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
x12
x82
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 x83 .
x81
x83
⟶
x2
x82
(
x1
x83
)
⟶
x23
x82
x83
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
(
x25
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x46
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
x75
x82
⟶
(
x20
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
x75
x82
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
x75
x82
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x2
x82
x78
⟶
(
x68
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x10
x83
x5
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
(
x23
x82
x83
⟶
False
)
⟶
(
x12
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x10
x83
x5
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
(
x23
x82
x83
⟶
False
)
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 x83 .
(
x81
x83
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
x81
x82
⟶
(
x23
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
(
x45
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
(
x60
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x16
x83
⟶
x75
x83
⟶
x2
x82
(
x1
x83
)
⟶
(
x75
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x18
x82
⟶
(
x14
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
(
x12
x82
⟶
False
)
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 x83 .
x74
x83
⟶
x2
x82
(
x1
(
x17
x83
)
)
⟶
x81
x82
⟶
(
x72
x82
x83
⟶
False
)
⟶
False
)
⟶
(
∀ x82 x83 .
x10
x83
x5
⟶
x2
x82
(
x1
x83
)
⟶
(
x81
x82
⟶
False
)
⟶
x23
x82
x83
⟶
False
)
⟶
(
∀ x82 x83 .
(
x81
x83
⟶
False
)
⟶
x2
x82
(
x1
x83
)
⟶
(
x23
x82
x83
⟶
False
)
⟶
x81
x82
⟶
False
)
⟶
(
∀ x82 x83 .
x16
x83
⟶
x2
x82
(
x1
x83
)
⟶
(
x16
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x58
x82
⟶
x28
x82
⟶
(
x60
x82
⟶
False
)
⟶
False
)
⟶
(
∀ x82 .
x81
x82
⟶
x16
x82
⟶
x75
x82
⟶
(