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Proofgold Asset
asset id
5a746954a605a0501222fa0021d2169a559a65e5b004b6d381b80fd8caa68de8
asset hash
6da819ae3ea804b80d713333293dca52c482c9b5d5299037ea68a2906e637db0
bday / block
35121
tx
86888..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
4f28e..
:
∀ x0 .
∀ x1 :
ι → ο
.
∀ x2 :
ι → ι
.
∀ x3 x4 :
ι → ο
.
∀ x5 .
∀ x6 :
ι → ο
.
∀ x7 :
ι → ι
.
∀ x8 :
ι →
ι → ι
.
∀ x9 x10 :
ι → ι
.
∀ x11 :
ι →
ι → ο
.
∀ x12 .
∀ x13 :
ι → ι
.
∀ x14 x15 :
ι →
ι → ι
.
∀ x16 x17 .
∀ x18 :
ι → ι
.
∀ x19 :
ι →
ι → ι
.
∀ x20 :
ι →
ι →
ι → ο
.
∀ x21 :
ι →
ι → ι
.
∀ x22 .
∀ x23 :
ι →
ι →
ι → ι
.
∀ x24 x25 :
ι → ι
.
∀ x26 x27 x28 :
ι →
ι → ι
.
∀ x29 :
ι → ι
.
∀ x30 x31 :
ι →
ι → ι
.
∀ x32 x33 :
ι → ι
.
∀ x34 :
ι →
ι → ο
.
∀ x35 :
ι → ο
.
∀ x36 x37 x38 x39 .
∀ x40 :
ι →
ι →
ι → ι
.
∀ x41 :
ι → ι
.
∀ x42 x43 :
ι →
ι → ι
.
∀ x44 :
ι →
ι →
ι →
ι → ι
.
∀ x45 :
ι →
ι → ι
.
∀ x46 x47 x48 .
∀ x49 :
ι → ο
.
∀ x50 .
∀ x51 :
ι → ι
.
∀ x52 .
∀ x53 :
ι →
ι → ι
.
∀ x54 .
∀ x55 :
ι → ο
.
∀ x56 :
ι →
ι → ο
.
∀ x57 :
ι → ο
.
∀ x58 :
ι →
ι → ο
.
∀ x59 :
ι → ι
.
∀ x60 :
ι → ο
.
∀ x61 :
ι →
ι → ι
.
∀ x62 :
ι →
ι → ο
.
∀ x63 :
ι → ι
.
∀ x64 :
ι →
ι → ο
.
∀ x65 :
ι → ι
.
∀ x66 :
ι →
ι → ο
.
∀ x67 :
ι →
ι → ι
.
∀ x68 :
ι →
ι →
ι →
ι → ι
.
∀ x69 x70 :
ι →
ι → ι
.
∀ x71 :
ι → ι
.
∀ x72 :
ι → ο
.
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x73
=
x67
(
x68
x74
x74
(
x69
x74
x73
)
(
x70
x74
x73
)
)
(
x71
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
(
x74
=
x73
⟶
False
)
⟶
x72
x73
⟶
False
)
⟶
(
∀ x73 x74 .
x64
x73
x74
⟶
x72
x74
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
(
x73
=
x0
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x64
x73
x74
⟶
x66
x74
(
x63
x75
)
⟶
x72
x75
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x64
x74
x75
⟶
x66
x75
(
x63
x73
)
⟶
(
x66
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x62
x74
x73
⟶
(
x66
x74
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x66
x74
(
x63
x73
)
⟶
(
x62
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x64
x74
x75
⟶
x64
x73
x75
⟶
x64
x73
(
x61
x75
x74
)
⟶
False
)
⟶
(
∀ x73 x74 .
x64
x74
x73
⟶
(
x64
(
x61
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x66
x73
x74
⟶
(
x72
x74
⟶
False
)
⟶
(
x64
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x67
x74
x76
=
x67
x73
x75
⟶
(
x76
=
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
x67
x76
x74
=
x67
x75
x73
⟶
(
x76
=
x75
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x64
x74
x73
⟶
(
x66
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x62
x73
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x66
x75
x76
⟶
x66
x74
x73
⟶
(
x68
x76
x73
x75
x74
=
x67
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x60
x73
⟶
(
x67
(
x59
x73
)
(
x71
x73
)
=
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x71
(
x67
x74
x73
)
=
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x59
(
x67
x73
x74
)
=
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x1
(
x2
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x58
(
x2
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x3
(
x2
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x57
(
x2
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x4
x5
⟶
False
)
⟶
False
)
⟶
(
x72
x5
⟶
False
)
⟶
(
∀ x73 .
(
x6
x73
⟶
False
)
⟶
x6
(
x7
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x6
x73
⟶
False
)
⟶
(
x66
(
x7
x73
)
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x1
(
x8
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x56
(
x8
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x58
(
x8
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x8
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x6
(
x9
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x9
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x66
(
x9
x73
)
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
x55
x54
⟶
False
)
⟶
(
(
x1
x54
⟶
False
)
⟶
False
)
⟶
(
(
x57
x54
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x11
(
x10
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x66
(
x10
x73
)
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
x12
⟶
False
)
⟶
False
)
⟶
(
(
x3
x12
⟶
False
)
⟶
False
)
⟶
(
(
x57
x12
⟶
False
)
⟶
False
)
⟶
(
x72
x12
⟶
False
)
⟶
(
∀ x73 .
x11
(
x13
x73
)
x73
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x13
x73
)
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x56
(
x14
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x58
(
x14
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x14
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x72
(
x53
x73
x74
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x1
(
x53
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x56
(
x53
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x58
(
x53
x73
x74
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x57
(
x53
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
(
x66
(
x53
x73
x74
)
(
x63
(
x15
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
x52
⟶
False
)
⟶
False
)
⟶
(
(
x3
x52
⟶
False
)
⟶
False
)
⟶
(
(
x57
x52
⟶
False
)
⟶
False
)
⟶
(
x72
x16
⟶
False
)
⟶
(
∀ x73 .
(
x72
(
x51
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x51
x73
)
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
(
x3
x50
⟶
False
)
⟶
False
)
⟶
(
(
x57
x50
⟶
False
)
⟶
False
)
⟶
(
(
x49
x48
⟶
False
)
⟶
False
)
⟶
(
(
x1
x48
⟶
False
)
⟶
False
)
⟶
(
(
x57
x48
⟶
False
)
⟶
False
)
⟶
(
(
x60
x17
⟶
False
)
⟶
False
)
⟶
(
(
x72
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x18
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x66
(
x18
x73
)
(
x63
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x56
(
x19
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x58
(
x19
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x19
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
(
x19
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x66
(
x19
x73
x74
)
(
x63
(
x15
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x57
x46
⟶
False
)
⟶
False
)
⟶
(
x72
x46
⟶
False
)
⟶
(
∀ x73 x74 .
(
x1
(
x45
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x56
(
x45
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x58
(
x45
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x45
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x66
(
x45
x73
x74
)
(
x63
(
x15
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x20
(
x21
x73
x74
)
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x1
(
x21
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x56
(
x21
x73
x74
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x58
(
x21
x74
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x21
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x66
(
x21
x73
x74
)
(
x63
(
x15
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
(
x1
x22
⟶
False
)
⟶
False
)
⟶
(
(
x57
x22
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 x77 .
(
x72
x77
⟶
False
)
⟶
x66
x73
x77
⟶
x66
x76
x77
⟶
x66
x74
(
x24
x77
)
⟶
x75
=
x68
(
x15
x77
x77
)
(
x24
x77
)
(
x68
x77
x77
x73
x76
)
x74
⟶
x64
(
x68
(
x15
x77
x77
)
(
x24
x77
)
(
x68
x77
x77
x73
x76
)
x74
)
(
x65
x77
)
⟶
(
x64
x75
(
x23
x77
x73
x76
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x66
x73
x76
⟶
x66
x75
x76
⟶
x64
x74
(
x23
x76
x73
x75
)
⟶
(
x64
(
x68
(
x15
x76
x76
)
(
x24
x76
)
(
x68
x76
x76
x73
x75
)
(
x44
x75
x73
x76
x74
)
)
(
x65
x76
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x66
x73
x76
⟶
x66
x75
x76
⟶
x64
x74
(
x23
x76
x73
x75
)
⟶
(
x74
=
x68
(
x15
x76
x76
)
(
x24
x76
)
(
x68
x76
x76
x73
x75
)
(
x44
x75
x73
x76
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x66
x73
x76
⟶
x66
x75
x76
⟶
x64
x74
(
x23
x76
x73
x75
)
⟶
(
x66
(
x44
x75
x73
x76
x74
)
(
x24
x76
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 x77 .
(
x72
x77
⟶
False
)
⟶
x66
x73
x77
⟶
x66
x76
x77
⟶
x66
x74
(
x24
x77
)
⟶
x75
=
x68
(
x15
x77
x77
)
(
x24
x77
)
(
x68
x77
x77
x73
x76
)
x74
⟶
x73
=
x0
⟶
x1
x74
⟶
x20
x74
x73
x76
⟶
x66
x74
(
x63
(
x15
x73
x76
)
)
⟶
(
x64
x75
(
x25
x77
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 x77 .
(
x72
x77
⟶
False
)
⟶
x66
x73
x77
⟶
x66
x76
x77
⟶
x66
x74
(
x24
x77
)
⟶
x75
=
x68
(
x15
x77
x77
)
(
x24
x77
)
(
x68
x77
x77
x73
x76
)
x74
⟶
(
x76
=
x0
⟶
False
)
⟶
x1
x74
⟶
x20
x74
x73
x76
⟶
x66
x74
(
x63
(
x15
x73
x76
)
)
⟶
(
x64
x75
(
x25
x77
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x66
(
x26
x74
x73
)
(
x63
(
x15
(
x27
x74
x73
)
(
x28
x74
x73
)
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x20
(
x26
x74
x73
)
(
x27
x74
x73
)
(
x28
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x1
(
x26
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
x28
x74
x73
=
x0
⟶
(
x27
x74
x73
=
x0
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x73
=
x68
(
x15
x74
x74
)
(
x24
x74
)
(
x68
x74
x74
(
x27
x74
x73
)
(
x28
x74
x73
)
)
(
x26
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x66
(
x26
x74
x73
)
(
x24
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x66
(
x28
x74
x73
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x25
x74
)
⟶
(
x66
(
x27
x74
x73
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
x66
x73
x76
⟶
x66
x75
x76
⟶
x74
=
x30
x73
x75
⟶
(
x64
x74
(
x29
x76
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x29
x74
)
⟶
(
x73
=
x30
(
x42
x74
x73
)
(
x43
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x29
x74
)
⟶
(
x66
(
x43
x74
x73
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x64
x73
(
x29
x74
)
⟶
(
x66
(
x42
x74
x73
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x57
(
x31
(
x67
x74
x73
)
(
x67
x76
x75
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x15
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x57
(
x32
(
x67
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
(
x31
x73
x74
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x72
x73
⟶
(
x72
(
x30
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x1
(
x71
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x57
(
x71
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
(
x32
x73
)
⟶
False
)
⟶
(
∀ x73 .
x72
(
x30
x73
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x65
x73
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x60
(
x67
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
(
x72
x0
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
(
x63
x73
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x72
(
x30
x73
x74
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x1
(
x32
(
x67
x74
x73
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
x72
(
x24
x73
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x4
(
x24
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x57
x74
⟶
x1
x74
⟶
x57
x73
⟶
x1
x73
⟶
(
x4
(
x31
x74
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x57
x73
⟶
x1
x73
⟶
(
x4
(
x32
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x72
(
x15
x74
x73
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x4
(
x30
x73
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x66
(
x41
x73
)
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x66
(
x70
x74
x73
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x66
(
x69
x74
x73
)
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 x76 .
(
x72
x76
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x66
x75
x76
⟶
x66
x74
x73
⟶
(
x66
(
x68
x76
x73
x75
x74
)
(
x15
x76
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
x66
x73
x75
⟶
x66
x74
x75
⟶
(
x40
x75
x73
x74
=
x23
x75
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x67
x74
x73
=
x31
(
x31
x74
x73
)
(
x32
x74
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x70
x74
x73
=
x71
(
x59
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x65
x74
)
⟶
(
x69
x74
x73
=
x59
(
x59
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x65
x73
=
x25
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
(
x72
x73
⟶
False
)
⟶
(
x24
x73
=
x33
(
x29
x73
)
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x31
x74
x73
=
x31
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x4
x74
⟶
x66
x73
(
x63
x74
)
⟶
(
x4
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x57
x73
⟶
x56
x73
x74
⟶
(
x56
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x57
x73
⟶
x56
x73
x74
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x57
x73
⟶
x56
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x66
x74
(
x63
(
x15
x75
x73
)
)
⟶
x1
x74
⟶
x20
x74
x75
x73
⟶
(
x20
x74
x75
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x66
x74
(
x63
(
x15
x75
x73
)
)
⟶
x1
x74
⟶
x20
x74
x75
x73
⟶
x72
x74
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
(
x72
x73
⟶
False
)
⟶
x66
x74
(
x63
(
x15
x75
x73
)
)
⟶
x1
x74
⟶
x20
x74
x75
x73
⟶
(
x1
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x4
x74
⟶
x66
x73
x74
⟶
(
x1
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x4
x74
⟶
x66
x73
x74
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x57
x73
⟶
x58
x73
x74
⟶
(
x58
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x57
x73
⟶
x58
x73
x74
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x57
x73
⟶
x58
x73
x74
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
(
x4
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x57
x75
⟶
x56
x75
x73
⟶
x66
x74
(
x63
x75
)
⟶
(
x56
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x6
x73
⟶
x57
x73
⟶
x1
x73
⟶
(
x55
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x6
x73
⟶
x57
x73
⟶
x1
x73
⟶
(
x1
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x6
x73
⟶
x57
x73
⟶
x1
x73
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x6
x74
⟶
x66
x73
(
x63
x74
)
⟶
(
x6
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x57
x75
⟶
x58
x75
x73
⟶
x66
x74
(
x63
x75
)
⟶
(
x58
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x57
x73
⟶
x1
x73
⟶
(
x55
x73
⟶
False
)
⟶
(
x1
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x57
x73
⟶
x1
x73
⟶
(
x55
x73
⟶
False
)
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x57
x73
⟶
x1
x73
⟶
(
x55
x73
⟶
False
)
⟶
x6
x73
⟶
False
)
⟶
(
∀ x73 x74 .
x72
x74
⟶
x66
x73
(
x63
x74
)
⟶
x11
x73
x74
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x73
(
x63
(
x15
x74
x75
)
)
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
(
x3
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x66
x74
(
x63
(
x15
x73
x73
)
)
⟶
x20
x74
x73
x73
⟶
(
x34
x74
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
x1
x73
⟶
(
x55
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
x1
x73
⟶
(
x1
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
x1
x73
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x63
x74
)
⟶
x72
x73
⟶
(
x11
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x72
x75
⟶
x66
x73
(
x63
(
x15
x75
x74
)
)
⟶
(
x72
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
(
x35
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 .
x72
x73
⟶
x57
x73
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
x66
x73
(
x63
(
x15
x74
x75
)
)
⟶
x20
x73
x74
x75
⟶
(
x34
x73
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x57
x74
⟶
x1
x74
⟶
x66
x73
(
x63
x74
)
⟶
(
x1
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
(
x72
x74
⟶
False
)
⟶
x66
x73
(
x63
x74
)
⟶
(
x11
x73
x74
⟶
False
)
⟶
x72
x73
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x66
x75
(
x63
(
x15
x73
x74
)
)
⟶
(
x56
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
x66
x75
(
x63
(
x15
x74
x73
)
)
⟶
(
x58
x75
x74
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 .
x57
x74
⟶
x66
x73
(
x63
x74
)
⟶
(
x57
x73
⟶
False
)
⟶
False
)
⟶
(
∀ x73 x74 x75 .
(
x72
x75
⟶
False
)
⟶
x72
x73
⟶
x66
x74
(
x63
(