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Proofgold Asset
asset id
17a637a69e3d6add12b894bf3aabb938ae255346d9752a74611ba3ec46619d0a
asset hash
ab1b3a0c8d288113e53c92e2349953716adf855de9a68c2f04f837a119c05c21
bday / block
35122
tx
8dc1b..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
2076f..
:
∀ x0 :
ι → ο
.
∀ x1 :
ι →
ι → ο
.
∀ x2 .
∀ x3 :
ι →
ι → ο
.
∀ x4 x5 x6 .
∀ x7 :
ι →
ι →
ι → ο
.
∀ x8 :
ι → ι
.
∀ x9 x10 x11 x12 x13 x14 x15 x16 .
∀ x17 :
ι → ο
.
∀ x18 x19 x20 x21 x22 x23 .
∀ x24 :
ι → ο
.
∀ x25 :
ι →
ι → ι
.
∀ x26 x27 :
ι → ο
.
∀ x28 .
∀ x29 x30 x31 x32 :
ι → ο
.
∀ x33 .
∀ x34 :
ι → ι
.
∀ x35 x36 :
ι → ο
.
∀ x37 x38 :
ι → ι
.
∀ x39 x40 x41 x42 x43 .
∀ x44 :
ι → ο
.
∀ x45 x46 x47 x48 :
ι →
ι → ι
.
∀ x49 .
∀ x50 x51 :
ι → ι
.
∀ x52 :
ι → ο
.
∀ x53 .
∀ x54 :
ι → ι
.
∀ x55 x56 :
ι →
ι → ι
.
∀ x57 .
∀ x58 :
ι → ο
.
∀ x59 :
ι →
ι → ο
.
∀ x60 :
ι → ι
.
∀ x61 x62 :
ι → ο
.
∀ x63 :
ι →
ι → ο
.
∀ x64 :
ι → ο
.
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
(
x61
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x0
x66
⟶
(
x66
=
x65
⟶
False
)
⟶
x0
x65
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x61
x66
⟶
False
)
⟶
(
x62
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x65
x66
⟶
x0
x66
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x0
x66
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x0
x65
⟶
(
x65
=
x2
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x1
x65
x66
⟶
x59
x66
(
x60
x67
)
⟶
x0
x67
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x0
x65
⟶
False
)
⟶
(
x62
x66
⟶
False
)
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x58
x65
⟶
(
x56
x57
x65
=
x57
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x1
x66
x67
⟶
x59
x67
(
x60
x65
)
⟶
(
x59
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x61
x65
⟶
False
)
⟶
x61
x66
⟶
False
)
⟶
(
∀ x65 x66 .
x3
x66
x65
⟶
(
x59
x66
(
x60
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x66
(
x60
x65
)
⟶
(
x3
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
(
x62
x66
⟶
False
)
⟶
x62
x65
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x65
x66
⟶
(
x0
x66
⟶
False
)
⟶
(
x1
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
x62
x65
⟶
(
x62
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x58
x65
⟶
(
x55
x65
x57
=
x57
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x1
x66
x65
⟶
(
x59
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
x63
x66
x65
⟶
x61
x66
⟶
(
x61
x65
⟶
False
)
⟶
False
)
⟶
(
(
x59
x2
x4
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x58
x67
⟶
x58
x65
⟶
x58
x66
⟶
(
x55
(
x55
x67
x65
)
x66
=
x55
x67
(
x55
x65
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
x58
x67
⟶
x58
x65
⟶
x58
x66
⟶
(
x55
x67
(
x56
x65
x66
)
=
x56
(
x55
x67
x65
)
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x58
x66
⟶
x58
x65
⟶
(
x55
x66
(
x54
x65
)
=
x56
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x58
x66
⟶
x58
x65
⟶
(
x56
(
x54
x66
)
(
x54
x65
)
=
x56
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x58
x66
⟶
x58
x65
⟶
(
x55
(
x54
x66
)
(
x54
x65
)
=
x54
(
x55
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x59
x6
x5
⟶
False
)
⟶
False
)
⟶
(
(
x59
x6
x53
⟶
False
)
⟶
False
)
⟶
(
(
x7
x6
x5
x53
⟶
False
)
⟶
False
)
⟶
(
(
x0
x6
⟶
False
)
⟶
False
)
⟶
(
(
x8
x6
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x55
x6
x6
=
x6
⟶
False
)
⟶
False
)
⟶
(
(
x63
x6
x6
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x52
x65
⟶
(
x63
x66
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x3
x65
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x59
x65
(
x60
x67
)
⟶
x59
x66
x65
⟶
(
x7
x66
x67
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x59
x65
(
x60
x67
)
⟶
x7
x66
x67
x65
⟶
(
x59
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x57
=
x2
⟶
False
)
⟶
False
)
⟶
(
(
x53
=
x4
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
(
x51
x65
=
x50
x65
⟶
False
)
⟶
False
)
⟶
(
(
x9
=
x10
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x66
x49
⟶
x59
x65
x49
⟶
(
x47
x66
x65
=
x48
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x11
=
x12
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x66
x49
⟶
x59
x65
x49
⟶
(
x45
x66
x65
=
x46
x66
x65
⟶
False
)
⟶
False
)
⟶
(
(
x52
x13
⟶
False
)
⟶
False
)
⟶
(
(
x0
x13
⟶
False
)
⟶
False
)
⟶
(
(
x64
x14
⟶
False
)
⟶
False
)
⟶
(
(
x52
x14
⟶
False
)
⟶
False
)
⟶
(
(
x58
x14
⟶
False
)
⟶
False
)
⟶
(
(
x0
x14
⟶
False
)
⟶
False
)
⟶
(
(
x62
x15
⟶
False
)
⟶
False
)
⟶
(
(
x52
x15
⟶
False
)
⟶
False
)
⟶
(
(
x64
x16
⟶
False
)
⟶
False
)
⟶
(
(
x62
x16
⟶
False
)
⟶
False
)
⟶
(
(
x52
x16
⟶
False
)
⟶
False
)
⟶
(
(
x58
x16
⟶
False
)
⟶
False
)
⟶
(
(
x17
x18
⟶
False
)
⟶
False
)
⟶
(
(
x44
x18
⟶
False
)
⟶
False
)
⟶
(
x0
x18
⟶
False
)
⟶
(
x64
x43
⟶
False
)
⟶
(
(
x62
x43
⟶
False
)
⟶
False
)
⟶
(
(
x52
x43
⟶
False
)
⟶
False
)
⟶
(
(
x61
x19
⟶
False
)
⟶
False
)
⟶
(
(
x52
x19
⟶
False
)
⟶
False
)
⟶
(
(
x64
x20
⟶
False
)
⟶
False
)
⟶
(
(
x61
x20
⟶
False
)
⟶
False
)
⟶
(
(
x52
x20
⟶
False
)
⟶
False
)
⟶
(
(
x58
x20
⟶
False
)
⟶
False
)
⟶
(
x0
x21
⟶
False
)
⟶
(
(
x44
x42
⟶
False
)
⟶
False
)
⟶
(
x0
x42
⟶
False
)
⟶
(
x64
x41
⟶
False
)
⟶
(
(
x61
x41
⟶
False
)
⟶
False
)
⟶
(
(
x52
x41
⟶
False
)
⟶
False
)
⟶
(
(
x52
x22
⟶
False
)
⟶
False
)
⟶
(
(
x64
x40
⟶
False
)
⟶
False
)
⟶
(
(
x0
x23
⟶
False
)
⟶
False
)
⟶
(
(
x44
x39
⟶
False
)
⟶
False
)
⟶
(
x0
x39
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
(
x38
(
x38
x65
)
=
x38
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x58
x65
⟶
(
x54
(
x54
x65
)
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x58
x65
⟶
(
x8
(
x8
x65
)
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x50
(
x50
x65
)
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
(
x51
(
x51
x65
)
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 x68 .
x64
x68
⟶
x64
x65
⟶
x58
x67
⟶
x58
x66
⟶
x68
=
x67
⟶
x65
=
x66
⟶
(
x48
x68
x65
=
x56
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x58
x65
⟶
x66
=
x65
⟶
(
x37
x66
=
x54
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 x68 .
x64
x68
⟶
x64
x65
⟶
x58
x67
⟶
x58
x66
⟶
x68
=
x67
⟶
x65
=
x66
⟶
(
x46
x68
x65
=
x55
x67
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x58
x65
⟶
x66
=
x65
⟶
(
x50
x66
=
x8
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x56
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
x36
x5
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x55
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x44
x4
⟶
False
)
⟶
False
)
⟶
(
x0
x49
⟶
False
)
⟶
(
(
x17
x4
⟶
False
)
⟶
False
)
⟶
(
(
x17
x5
⟶
False
)
⟶
False
)
⟶
(
(
x62
x10
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x58
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x52
(
x37
x12
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
(
x37
x12
)
⟶
False
)
⟶
False
)
⟶
(
(
x52
(
x37
x10
)
⟶
False
)
⟶
False
)
⟶
(
(
x0
(
x37
x10
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x48
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x52
(
x48
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x61
x12
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x8
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x58
(
x8
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x35
x5
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x64
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x64
x66
⟶
x64
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x37
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x52
(
x37
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x0
x66
⟶
x52
x66
⟶
x52
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x0
x66
⟶
x52
x66
⟶
x52
x65
⟶
(
x0
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x0
x66
⟶
False
)
⟶
x52
x66
⟶
(
x0
x65
⟶
False
)
⟶
x52
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x0
x66
⟶
False
)
⟶
x52
x66
⟶
(
x0
x65
⟶
False
)
⟶
x52
x65
⟶
x0
(
x46
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x61
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
x62
(
x48
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x61
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x52
(
x48
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
x62
(
x48
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x52
(
x48
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x56
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
x61
(
x48
x65
x66
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x52
(
x48
x65
x66
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x62
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x56
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
x61
(
x48
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x52
(
x48
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x62
x66
⟶
False
)
⟶
x64
x66
⟶
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x56
x65
x66
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
x62
(
x37
x65
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x52
(
x37
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x62
x66
⟶
False
)
⟶
x64
x66
⟶
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x56
x66
x65
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
x61
(
x37
x65
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x52
(
x37
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x54
x65
)
⟶
False
)
⟶
(
∀ x65 .
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
(
x58
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x52
x10
⟶
False
)
⟶
False
)
⟶
(
x64
x12
⟶
False
)
⟶
(
(
x24
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
x62
(
x46
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x62
x66
⟶
False
)
⟶
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x62
x65
⟶
x64
x65
⟶
(
x62
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x62
x65
⟶
x64
x65
⟶
(
x58
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x61
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
x62
(
x46
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x61
x66
⟶
False
)
⟶
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x54
x65
)
⟶
False
)
⟶
(
∀ x65 .
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
(
x58
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x61
x66
⟶
False
)
⟶
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
x61
(
x46
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
(
x61
x66
⟶
False
)
⟶
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x61
x65
⟶
x64
x65
⟶
(
x61
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x61
x65
⟶
x64
x65
⟶
(
x58
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x61
x66
⟶
x52
x65
⟶
x61
x65
⟶
(
x61
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x61
x66
⟶
x52
x65
⟶
x61
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x62
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x55
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x62
x66
⟶
x52
x65
⟶
x62
x65
⟶
(
x61
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x62
x66
⟶
x52
x65
⟶
x62
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x55
x66
x65
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x61
x66
⟶
x52
x65
⟶
x62
x65
⟶
(
x62
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x61
x66
⟶
x52
x65
⟶
x62
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x55
x65
x66
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x61
x66
⟶
False
)
⟶
x64
x66
⟶
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x55
x66
x65
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x64
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x64
x65
⟶
(
x52
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x52
x12
⟶
False
)
⟶
False
)
⟶
(
x64
x10
⟶
False
)
⟶
(
(
x0
x2
⟶
False
)
⟶
False
)
⟶
(
x0
x5
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
x62
(
x38
x65
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
x62
x65
⟶
(
x61
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
x62
x65
⟶
(
x52
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
x61
x65
⟶
(
x62
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
x61
x65
⟶
(
x52
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
x61
(
x8
x65
)
⟶
False
)
⟶
(
∀ x65 .
(
x62
x65
⟶
False
)
⟶
x64
x65
⟶
(
x58
(
x8
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
x61
(
x50
x65
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x62
x65
⟶
False
)
⟶
(
x52
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
x62
(
x8
x65
)
⟶
False
)
⟶
(
∀ x65 .
(
x61
x65
⟶
False
)
⟶
x64
x65
⟶
(
x58
(
x8
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
x62
(
x50
x65
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x61
x65
⟶
False
)
⟶
(
x52
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
(
x0
x66
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x59
x65
(
x60
x66
)
⟶
(
x7
(
x25
x65
x66
)
x66
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
(
x59
(
x34
x65
)
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 x67 .
(
x0
x67
⟶
False
)
⟶
(
x0
x65
⟶
False
)
⟶
x59
x65
(
x60
x67
)
⟶
x7
x66
x67
x65
⟶
(
x59
x66
x67
⟶
False
)
⟶
False
)
⟶
(
(
x59
x33
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x52
x65
⟶
(
x52
(
x48
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x7
x57
x5
x53
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x52
(
x37
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x58
x65
⟶
(
x58
(
x54
x65
)
⟶
False
)
⟶
False
)
⟶
(
(
x59
x53
(
x60
x5
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x52
x65
⟶
(
x52
(
x46
x66
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x58
x65
⟶
(
x58
(
x8
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
(
x59
(
x38
x65
)
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x52
x65
⟶
(
x52
(
x50
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
(
x59
(
x51
x65
)
x49
⟶
False
)
⟶
False
)
⟶
(
(
x59
x9
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x66
x49
⟶
x59
x65
x49
⟶
(
x59
(
x47
x66
x65
)
x49
⟶
False
)
⟶
False
)
⟶
(
(
x59
x11
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x66
x49
⟶
x59
x65
x49
⟶
(
x59
(
x45
x66
x65
)
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x52
x65
⟶
(
x48
x66
x65
=
x46
x66
(
x37
x65
)
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
(
x63
x57
x65
⟶
False
)
⟶
(
x38
x65
=
x51
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 .
x59
x65
x49
⟶
x63
x57
x65
⟶
(
x38
x65
=
x65
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x52
x65
⟶
(
x63
x66
x65
⟶
False
)
⟶
(
x63
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x52
x66
⟶
x52
x65
⟶
(
x46
x66
x65
=
x46
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x58
x66
⟶
x58
x65
⟶
(
x55
x66
x65
=
x55
x65
x66
⟶
False
)
⟶
False
)
⟶
(
∀ x65 x66 .
x59
x66
x49
⟶
x59
x65
x49
⟶
(