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Proofgold Asset
asset id
d20f1da6f821ca401617dc185d74364703da4b64e818fe62ed6bfeba6fd41a7b
asset hash
93e4aef0e5027a06c41cd74af40475586a5df236ece0613f9e4cb5c50b75b0c3
bday / block
35128
tx
9bb1b..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
d0390..
:
∀ x0 :
ι →
ι → ο
.
∀ x1 :
ι → ι
.
∀ x2 :
ι →
ι → ο
.
∀ x3 x4 :
ι → ι
.
∀ x5 x6 :
ι →
ι → ο
.
∀ x7 :
ι → ο
.
∀ x8 :
ι →
ι →
ι → ι
.
∀ x9 :
ι →
ι → ι
.
∀ x10 :
ι →
ι →
ι →
ι → ι
.
∀ x11 :
ι →
ι →
ι →
ι →
ι → ι
.
∀ x12 :
ι →
ι →
ι →
ι → ι
.
∀ x13 :
ι →
ι →
ι → ο
.
∀ x14 :
ι →
ι → ι
.
∀ x15 :
ι →
ι →
ι → ι
.
∀ x16 :
ι → ι
.
∀ x17 :
ι → ο
.
∀ x18 .
∀ x19 x20 :
ι → ο
.
∀ x21 .
∀ x22 :
ι → ι
.
∀ x23 :
ι →
ι → ι
.
∀ x24 :
ι →
ι → ο
.
∀ x25 x26 :
ι → ι
.
∀ x27 :
ι →
ι → ο
.
∀ x28 :
ι → ι
.
∀ x29 :
ι →
ι → ι
.
∀ x30 x31 :
ι → ι
.
∀ x32 .
∀ x33 x34 :
ι →
ι → ι
.
∀ x35 .
∀ x36 :
ι → ι
.
∀ x37 :
ι →
ι →
ι →
ι → ι
.
∀ x38 x39 x40 x41 x42 .
∀ x43 x44 x45 :
ι → ο
.
∀ x46 :
ι →
ι → ο
.
∀ x47 x48 :
ι →
ι → ι
.
∀ x49 :
ι → ο
.
∀ x50 x51 :
ι →
ι → ι
.
∀ x52 :
ι → ι
.
∀ x53 .
∀ x54 x55 x56 :
ι → ι
.
∀ x57 .
∀ x58 :
ι → ο
.
∀ x59 x60 .
∀ x61 :
ι →
ι → ι
.
∀ x62 :
ι →
ι → ο
.
∀ x63 :
ι → ι
.
∀ x64 x65 :
ι → ο
.
∀ x66 x67 :
ι →
ι → ι
.
∀ x68 x69 x70 :
ι →
ι → ο
.
∀ x71 .
∀ x72 :
ι → ο
.
(
∀ x73 x74 .
x72
x74
⟶
(
x74
=
x73
⟶
False
)
⟶
x72
x73
⟶
False
)
⟶
(
∀ x73 x74 .
x0
x73
x74
⟶
x72
x74
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
(
x73
=
x71
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x0
x73
x74
⟶
x2
x74
(
x1
x75
)
⟶
x72
x75
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x0
x74
x75
⟶
x2
x75
(
x1
x73
)
⟶
(
x2
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x5
(
x4
x73
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x70
x74
x73
⟶
(
x2
x74
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x2
x74
(
x1
x73
)
⟶
(
x70
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x69
(
x4
x73
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x6
(
x4
x73
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x68
(
x4
x73
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 x77 x78 .
(
x72
x78
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x7
x77
⟶
x13
x77
(
x14
x78
x78
)
x78
⟶
x2
x77
(
x1
(
x14
(
x14
x78
x78
)
x78
)
)
⟶
x2
x74
(
x3
x73
)
⟶
x7
x76
⟶
x13
x76
x73
x78
⟶
x2
x76
(
x1
(
x14
x73
x78
)
)
⟶
x68
x77
x78
⟶
x6
x77
x78
⟶
x69
x77
x78
⟶
x5
x77
x78
⟶
x2
x75
x73
⟶
(
x11
x73
x78
x77
(
x8
x73
x74
(
x9
x73
x75
)
)
x76
=
x10
x78
x77
(
x11
x73
x78
x77
x74
x76
)
(
x12
x73
x78
x76
x75
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x2
x73
x74
⟶
(
x72
x74
⟶
False
)
⟶
(
x0
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x0
x74
x73
⟶
(
x2
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x67
x73
x71
=
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x70
x73
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x2
x74
(
x3
x75
)
⟶
x2
x73
(
x3
x75
)
⟶
(
x8
x75
x74
x73
=
x67
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x7
x76
⟶
x13
x76
(
x14
x73
x73
)
x73
⟶
x2
x76
(
x1
(
x14
(
x14
x73
x73
)
x73
)
)
⟶
x2
x74
x73
⟶
x2
x75
x73
⟶
(
x10
x73
x76
x74
x75
=
x15
x76
x74
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x7
x73
⟶
x13
x73
x76
x75
⟶
x2
x73
(
x1
(
x14
x76
x75
)
)
⟶
x2
x74
x76
⟶
(
x12
x76
x75
x73
x74
=
x66
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x2
x73
x74
⟶
(
x9
x74
x73
=
x16
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x7
x75
⟶
x13
x75
(
x14
x73
x73
)
x73
⟶
x68
x75
x73
⟶
x2
x75
(
x1
(
x14
(
x14
x73
x73
)
x73
)
)
⟶
x2
x74
x73
⟶
(
x10
x73
x75
x74
x74
=
x74
⟶
False
)
⟶
False
)
⟶
(
(
x17
x18
⟶
False
)
⟶
False
)
⟶
(
(
x7
x18
⟶
False
)
⟶
False
)
⟶
(
(
x19
x18
⟶
False
)
⟶
False
)
⟶
(
x72
x18
⟶
False
)
⟶
(
(
x20
x21
⟶
False
)
⟶
False
)
⟶
(
(
x65
x21
⟶
False
)
⟶
False
)
⟶
(
x72
x21
⟶
False
)
⟶
(
∀ x73 .
(
x64
x73
⟶
False
)
⟶
(
x65
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x64
x73
⟶
False
)
⟶
x64
(
x63
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x64
x73
⟶
False
)
⟶
(
x2
(
x63
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x64
x73
⟶
False
)
⟶
x64
(
x22
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x64
x73
⟶
False
)
⟶
(
x2
(
x22
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x65
(
x23
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x7
(
x23
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x24
(
x23
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x62
(
x23
x73
x74
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x19
(
x23
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x72
(
x23
x73
x74
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x64
(
x25
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x25
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x2
(
x25
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x65
(
x61
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x7
(
x61
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x24
(
x61
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x62
(
x61
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x19
(
x61
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x27
(
x26
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x2
(
x26
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x27
(
x28
x73
)
x73
⟶
False
)
⟶
(
∀ x73 .
(
x2
(
x28
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x24
(
x29
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x62
(
x29
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x19
(
x29
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
(
x65
x60
⟶
False
)
⟶
False
)
⟶
(
(
x7
x60
⟶
False
)
⟶
False
)
⟶
(
(
x19
x60
⟶
False
)
⟶
False
)
⟶
(
x72
x60
⟶
False
)
⟶
(
x72
x59
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x30
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x2
(
x30
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x65
(
x31
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x31
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x2
(
x31
x73
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x58
x57
⟶
False
)
⟶
False
)
⟶
(
(
x19
x57
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x65
(
x56
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x56
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x2
(
x56
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x72
x32
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x55
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x2
(
x55
x73
)
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x65
(
x54
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x54
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x2
(
x54
x73
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x24
(
x33
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x62
(
x33
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x19
(
x33
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
(
x33
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x2
(
x33
x73
x74
)
(
x1
(
x14
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x19
x53
⟶
False
)
⟶
False
)
⟶
(
x72
x53
⟶
False
)
⟶
(
∀ x73 .
(
x68
(
x52
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x13
(
x52
x73
)
(
x14
x73
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x7
(
x52
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x24
(
x52
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x62
(
x52
x73
)
(
x14
x73
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x19
(
x52
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x2
(
x52
x73
)
(
x1
(
x14
(
x14
x73
x73
)
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x13
(
x34
x73
x74
)
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x7
(
x34
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x24
(
x34
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x62
(
x34
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x19
(
x34
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x2
(
x34
x73
x74
)
(
x1
(
x14
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x65
x35
⟶
False
)
⟶
False
)
⟶
(
x72
x35
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x2
x74
(
x3
x75
)
⟶
x2
x73
(
x3
x75
)
⟶
(
x8
x75
x74
x74
=
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x67
x73
x73
=
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x65
x74
⟶
x65
x73
⟶
(
x65
(
x67
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x19
(
x51
(
x50
x74
x73
)
(
x50
x76
x75
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x19
(
x14
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x72
(
x67
x73
x74
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x19
(
x16
(
x50
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x72
(
x67
x74
x73
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x19
x75
⟶
x24
x75
x73
⟶
x19
x74
⟶
x24
x74
x73
⟶
(
x24
(
x67
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
(
x51
x73
x74
)
⟶
False
)
⟶
(
∀ x73 x74 .
x19
x74
⟶
x19
x73
⟶
(
x19
(
x67
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x19
x74
⟶
x7
x74
⟶
x17
x74
⟶
(
x65
(
x66
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x20
x74
⟶
x20
x73
⟶
(
x20
(
x67
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x65
x74
⟶
x65
x73
⟶
(
x20
(
x51
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x65
x73
⟶
(
x20
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x65
x73
⟶
(
x20
(
x16
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
(
x16
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x49
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
(
x3
x73
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x65
(
x51
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
(
x72
x71
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
(
x1
x73
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x19
x75
⟶
x62
x75
x73
⟶
x19
x74
⟶
x62
x74
x73
⟶
(
x62
(
x67
x75
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x49
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x65
(
x16
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x65
x73
⟶
(
x65
(
x1
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x65
x74
⟶
x65
x73
⟶
(
x65
(
x14
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x72
(
x14
x74
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x2
(
x36
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x2
(
x4
x73
)
(
x1
(
x14
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x13
(
x4
x73
)
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x7
(
x4
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 x77 .
(
x72
x77
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x7
x76
⟶
x13
x76
(
x14
x73
x73
)
x73
⟶
x2
x76
(
x1
(
x14
(
x14
x73
x73
)
x73
)
)
⟶
x2
x74
(
x3
x77
)
⟶
x7
x75
⟶
x13
x75
x77
x73
⟶
x2
x75
(
x1
(
x14
x77
x73
)
)
⟶
(
x2
(
x11
x77
x73
x76
x74
x75
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x2
x74
(
x3
x75
)
⟶
x2
x73
(
x3
x75
)
⟶
(
x2
(
x8
x75
x74
x73
)
(
x3
x75
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x49
(
x3
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x7
x76
⟶
x13
x76
(
x14
x73
x73
)
x73
⟶
x2
x76
(
x1
(
x14
(
x14
x73
x73
)
x73
)
)
⟶
x2
x74
x73
⟶
x2
x75
x73
⟶
(
x2
(
x10
x73
x76
x74
x75
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x7
x73
⟶
x13
x73
x76
x75
⟶
x2
x73
(
x1
(
x14
x76
x75
)
)
⟶
x2
x74
x76
⟶
(
x2
(
x12
x76
x75
x73
x74
)
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x2
x73
x74
⟶
(
x2
(
x9
x74
x73
)
(
x3
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x2
x73
(
x3
x76
)
⟶
x7
x75
⟶
x13
x75
x76
(
x3
x74
)
⟶
x2
x75
(
x1
(
x14
x76
(
x3
x74
)
)
)
⟶
(
x2
(
x37
x76
x74
x73
x75
)
(
x3
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x50
x74
x73
=
x51
(
x51
x74
x73
)
(
x16
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x2
x73
(
x3
x76
)
⟶
x7
x75
⟶
x13
x75
x76
(
x3
x74
)
⟶
x2
x75
(
x1
(
x14
x76
(
x3
x74
)
)
)
⟶
(
x37
x76
x74
x73
x75
=
x11
x76
(
x3
x74
)
(
x4
x74
)
x73
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x7
x74
⟶
x13
x74
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
⟶
x2
x74
(
x1
(
x14
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
)
)
⟶
x10
(
x3
x73
)
x74
(
x48
x74
x73
)
(
x47
x74
x73
)
=
x8
x73
(
x48
x74
x73
)
(
x47
x74
x73
)
⟶
(
x74
=
x4
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x7
x74
⟶
x13
x74
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
⟶
x2
x74
(
x1
(
x14
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
)
)
⟶
(
x2
(
x47
x74
x73
)
(
x3
x73
)
⟶
False
)
⟶
(
x74
=
x4
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x7
x74
⟶
x13
x74
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
⟶
x2
x74
(
x1
(
x14
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
)
)
⟶
(
x2
(
x48
x74
x73
)
(
x3
x73
)
⟶
False
)
⟶
(
x74
=
x4
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x7
x76
⟶
x13
x76
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
⟶
x2
x76
(
x1
(
x14
(
x14
(
x3
x73
)
(
x3
x73
)
)
(
x3
x73
)
)
)
⟶
x76
=
x4
x73
⟶
x2
x75
(
x3
x73
)
⟶
x2
x74
(
x3
x73
)
⟶
(
x10
(
x3
x73
)
x76
x75
x74
=
x8
x73
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x19
x75
⟶
x7
x75
⟶
(
x15
x75
x73
x74
=
x66
x75
(
x50
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x2
x74
(
x3
x75
)
⟶
x2
x73
(
x3
x75
)
⟶
(
x8
x75
x74
x73
=
x8
x75
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x67
x74
x73
=
x67
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x51
x74
x73
=
x51
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x19
x73
⟶
(
x17
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x19
x73
⟶
(
x19
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x19
x73
⟶
x24
x73
x74
⟶
(
x24
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x19
x73
⟶
x24
x73
x74
⟶
(
x19
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x19
x73
⟶
x24
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x2
x74
(
x1
(
x14
x75
x73
)
)
⟶
x7
x74
⟶
x13
x74
x75
x73
⟶
(
x13
x74
x75
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x2
x74
(
x1
(
x14
x75
x73
)
)
⟶
x7
x74
⟶
x13
x74
x75
x73
⟶
x72
x74
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x2
x74
(
x1
(
x14
x75
x73
)
)
⟶
x7
x74
⟶
x13
x74
x75
x73
⟶
(
x7
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x20
x74
⟶
x2
x73
(
x1
x74
)
⟶
(
x20
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x19
x73
⟶
x62
x73
x74
⟶
(
x62
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x19
x73
⟶
x62
x73
x74
⟶
(
x19
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x19
x73
⟶
x62
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x20
x74
⟶
x2
x73
x74
⟶
(
x65
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x19
x75
⟶
x24
x75
x73
⟶
x2
x74
(
x1
x75
)
⟶
(
x24
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
(
x20
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x64
x74
⟶
x2
x73
(
x1
x74
)
⟶
(
x64
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x19
x75
⟶
x62
x75
x73
⟶
x2
x74
(
x1
x75
)
⟶
(
x62
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x65
x73
⟶
False
)
⟶
x64
x73
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x2
x73
(
x1
x74
)
⟶
x27
x73
x74
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x2
x73
(
x1
(
x14
x74
x75
)
)
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x19
x73
⟶
(
x58
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x19
x73
⟶
(
x19
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x2
x74
(
x1
(
x14
x73
x73
)
)
⟶
x13
x74
x73
x73
⟶
(
x46
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x64
x73
⟶
(
x65
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x2
x73
(
x1
x74
)
⟶
x72
x73
⟶
(
x27
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x2
x73
(
x1
(
x14
x75
x74
)
)
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x19
x73
⟶
(
x45
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x19
x73
⟶
(
x19
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
x2
x73
(
x1
(
x14
x74
x75
)
)
⟶
x13
x73
x74
x75
⟶
(
x46
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x2
x74
(
x3
x73
)
⟶
(
x65
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x65
x75
⟶
x2
x73
(
x1
(
x14
x75
x74
)
)
⟶
x7
x73
⟶
x13
x73
x75
x74
⟶
(
x65
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x65
x75
⟶
x2
x73
(
x1
(
x14
x75
x74
)
)
⟶
x7
x73
⟶
x13
x73
x75
x74
⟶
(
x13
x73
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x65
x75
⟶
x2
x73
(
x1
(
x14
x75
x74
)
)
⟶
x7
x73
⟶
x13
x73
x75
x74
⟶
(
x7
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x2
x73
(
x1
x74
)
⟶
(
x27
x73
x74
⟶
False
)
⟶
x72
x73
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x2
x75
(
x1
(
x14
x73
x74
)
)
⟶
(
x24
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x2
x75
(
x1
(
x14
x74
x73
)
)
⟶
(
x62
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x19
x74
⟶
x2
x73
(
x1
x74
)
⟶
(
x19
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x2
x73
(
x1
(
x14
x75
x74
)
)
⟶
x13
x73
x75
x74
⟶
(
x46
x73
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x44
x73
⟶
x43
x73
⟶
(
x49
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x65
x74
⟶
x2
x73
(
x1
x74
)
⟶
(
x65
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x2
x73
(
x1
x74
)
⟶
(