Search for blocks/addresses/...
Proofgold Asset
asset id
ac5c8dd6eaea324f42d42971c70662c0fabee218a8b3e087f8f1d39b4bb0d61c
asset hash
76cd1d3180c019acd9db47276b7a2bca1700963c894f61e57795040628431f22
bday / block
35122
tx
80134..
preasset
doc published by
PrPhD..
Definition
False
False
:=
∀ x0 : ο .
x0
Definition
not
not
:=
λ x0 : ο .
x0
⟶
False
Theorem
55d5f..
:
∀ x0 :
ι →
ι → ι
.
∀ x1 :
ι →
ι → ο
.
∀ x2 :
ι → ι
.
∀ x3 :
ι →
ι → ο
.
∀ x4 :
ι →
ι → ι
.
∀ x5 .
∀ x6 :
ι →
ι → ι
.
∀ x7 .
∀ x8 :
ι → ο
.
∀ x9 x10 :
ι → ι
.
∀ x11 :
ι → ο
.
∀ x12 x13 x14 x15 x16 x17 .
∀ x18 :
ι → ο
.
∀ x19 :
ι → ι
.
∀ x20 x21 x22 x23 :
ι → ο
.
∀ x24 x25 .
∀ x26 x27 x28 :
ι → ο
.
∀ x29 :
ι →
ι → ι
.
∀ x30 :
ι → ο
.
∀ x31 x32 x33 x34 x35 .
∀ x36 :
ι → ο
.
∀ x37 x38 .
∀ x39 :
ι → ο
.
∀ x40 x41 .
∀ x42 :
ι → ο
.
∀ x43 :
ι → ι
.
∀ x44 :
ι → ο
.
∀ x45 .
∀ x46 :
ι →
ι →
ι → ο
.
∀ x47 .
∀ x48 :
ι → ι
.
∀ x49 x50 .
∀ x51 :
ι →
ι → ο
.
∀ x52 .
∀ x53 :
ι → ο
.
∀ x54 :
ι →
ι → ι
.
∀ x55 :
ι → ι
.
∀ x56 x57 :
ι →
ι → ι
.
∀ x58 :
ι → ι
.
∀ x59 :
ι → ο
.
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x55
(
x54
x61
x60
)
=
x56
(
x57
(
x58
x61
)
(
x55
x60
)
)
(
x57
(
x58
x60
)
(
x55
x61
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x58
(
x54
x61
x60
)
=
x0
(
x57
(
x58
x61
)
(
x58
x60
)
)
(
x57
(
x55
x61
)
(
x55
x60
)
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x53
x61
⟶
(
x61
=
x60
⟶
False
)
⟶
x53
x60
⟶
False
)
⟶
(
∀ x60 x61 .
x1
x60
x61
⟶
x53
x61
⟶
False
)
⟶
(
∀ x60 .
x53
x60
⟶
(
x60
=
x52
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
x1
x60
x61
⟶
x3
x61
(
x2
x62
)
⟶
x53
x62
⟶
False
)
⟶
(
∀ x60 x61 x62 .
x1
x61
x62
⟶
x3
x62
(
x2
x60
)
⟶
(
x3
x61
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x4
x60
x5
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x51
x61
x60
⟶
(
x3
x61
(
x2
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
(
x2
x60
)
⟶
(
x51
x61
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x54
x50
x60
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x60
x61
⟶
(
x53
x61
⟶
False
)
⟶
(
x1
x60
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x54
x60
x5
=
x5
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x1
x61
x60
⟶
(
x3
x61
x60
⟶
False
)
⟶
False
)
⟶
(
(
x3
x52
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x6
x60
x5
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x4
(
x48
x61
)
(
x48
x60
)
=
x4
x60
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x6
(
x48
x61
)
(
x48
x60
)
=
x48
(
x6
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
x59
x62
⟶
x59
x60
⟶
x59
x61
⟶
(
x54
(
x54
x62
x60
)
x61
=
x54
x62
(
x54
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
x59
x62
⟶
x59
x60
⟶
x59
x61
⟶
(
x6
(
x6
x62
x60
)
x61
=
x6
x62
(
x6
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
x59
x62
⟶
x59
x60
⟶
x59
x61
⟶
(
x54
(
x6
x62
x60
)
x61
=
x6
(
x54
x62
x61
)
(
x54
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x54
x60
(
x48
x50
)
=
x48
x60
⟶
False
)
⟶
False
)
⟶
(
(
x3
x50
x47
⟶
False
)
⟶
False
)
⟶
(
(
x3
x50
x7
⟶
False
)
⟶
False
)
⟶
(
(
x46
x50
x47
x7
⟶
False
)
⟶
False
)
⟶
(
(
x8
x50
⟶
False
)
⟶
False
)
⟶
(
x53
x50
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x6
x61
(
x48
x60
)
=
x4
x61
x60
⟶
False
)
⟶
False
)
⟶
(
(
x3
x45
x47
⟶
False
)
⟶
False
)
⟶
(
(
x3
x45
x7
⟶
False
)
⟶
False
)
⟶
(
(
x46
x45
x47
x7
⟶
False
)
⟶
False
)
⟶
(
(
x53
x45
⟶
False
)
⟶
False
)
⟶
(
(
x48
(
x48
x50
)
=
x50
⟶
False
)
⟶
False
)
⟶
(
(
x48
x50
=
x48
x50
⟶
False
)
⟶
False
)
⟶
(
(
x48
x45
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x54
x50
x50
=
x50
⟶
False
)
⟶
False
)
⟶
(
(
x54
x50
x45
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x54
x45
x50
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x54
x45
x45
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x48
x50
)
(
x48
x50
)
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x4
(
x48
x50
)
x45
=
x48
x50
⟶
False
)
⟶
False
)
⟶
(
(
x4
x50
x50
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x4
x50
x45
=
x50
⟶
False
)
⟶
False
)
⟶
(
(
x4
x45
(
x48
x50
)
=
x50
⟶
False
)
⟶
False
)
⟶
(
(
x4
x45
x50
=
x48
x50
⟶
False
)
⟶
False
)
⟶
(
(
x4
x45
x45
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x6
(
x48
x50
)
x50
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x6
(
x48
x50
)
x45
=
x48
x50
⟶
False
)
⟶
False
)
⟶
(
(
x6
x50
(
x48
x50
)
=
x45
⟶
False
)
⟶
False
)
⟶
(
(
x6
x50
x45
=
x50
⟶
False
)
⟶
False
)
⟶
(
(
x6
x45
(
x48
x50
)
=
x48
x50
⟶
False
)
⟶
False
)
⟶
(
(
x6
x45
x50
=
x50
⟶
False
)
⟶
False
)
⟶
(
(
x6
x45
x45
=
x45
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x51
x60
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
(
x53
x62
⟶
False
)
⟶
(
x53
x60
⟶
False
)
⟶
x3
x60
(
x2
x62
)
⟶
x3
x61
x60
⟶
(
x46
x61
x62
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
(
x53
x62
⟶
False
)
⟶
(
x53
x60
⟶
False
)
⟶
x3
x60
(
x2
x62
)
⟶
x46
x61
x62
x60
⟶
(
x3
x61
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x0
x61
x60
=
x4
x61
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x57
x61
x60
=
x54
x61
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x56
x61
x60
=
x6
x61
x60
⟶
False
)
⟶
False
)
⟶
(
(
x5
=
x52
⟶
False
)
⟶
False
)
⟶
(
(
x7
=
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x55
x60
=
x9
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x58
x60
=
x43
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
x47
⟶
(
x10
x60
=
x48
x60
⟶
False
)
⟶
False
)
⟶
(
(
x42
x41
⟶
False
)
⟶
False
)
⟶
(
(
x53
x41
⟶
False
)
⟶
False
)
⟶
(
(
x44
x40
⟶
False
)
⟶
False
)
⟶
(
(
x42
x40
⟶
False
)
⟶
False
)
⟶
(
(
x59
x40
⟶
False
)
⟶
False
)
⟶
(
(
x53
x40
⟶
False
)
⟶
False
)
⟶
(
(
x39
x38
⟶
False
)
⟶
False
)
⟶
(
(
x42
x38
⟶
False
)
⟶
False
)
⟶
(
(
x44
x37
⟶
False
)
⟶
False
)
⟶
(
(
x39
x37
⟶
False
)
⟶
False
)
⟶
(
(
x42
x37
⟶
False
)
⟶
False
)
⟶
(
(
x59
x37
⟶
False
)
⟶
False
)
⟶
(
(
x36
x35
⟶
False
)
⟶
False
)
⟶
(
(
x11
x35
⟶
False
)
⟶
False
)
⟶
(
x53
x35
⟶
False
)
⟶
(
(
x8
x12
⟶
False
)
⟶
False
)
⟶
(
(
x42
x12
⟶
False
)
⟶
False
)
⟶
(
(
x44
x13
⟶
False
)
⟶
False
)
⟶
(
(
x8
x13
⟶
False
)
⟶
False
)
⟶
(
(
x42
x13
⟶
False
)
⟶
False
)
⟶
(
(
x59
x13
⟶
False
)
⟶
False
)
⟶
(
(
x59
x14
⟶
False
)
⟶
False
)
⟶
(
x53
x14
⟶
False
)
⟶
(
x53
x15
⟶
False
)
⟶
(
(
x11
x34
⟶
False
)
⟶
False
)
⟶
(
x53
x34
⟶
False
)
⟶
(
(
x42
x33
⟶
False
)
⟶
False
)
⟶
(
(
x44
x16
⟶
False
)
⟶
False
)
⟶
(
(
x59
x32
⟶
False
)
⟶
False
)
⟶
(
(
x53
x17
⟶
False
)
⟶
False
)
⟶
(
(
x11
x31
⟶
False
)
⟶
False
)
⟶
(
x53
x31
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x48
(
x48
x60
)
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
x47
⟶
(
x10
(
x10
x60
)
=
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x39
x61
⟶
False
)
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
x39
(
x6
x61
x60
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x53
x61
⟶
False
)
⟶
x59
x61
⟶
(
x53
x60
⟶
False
)
⟶
x59
x60
⟶
x53
(
x54
x61
x60
)
⟶
False
)
⟶
(
x30
x47
⟶
False
)
⟶
(
∀ x60 x61 .
x44
x61
⟶
x44
x60
⟶
(
x44
(
x4
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x44
x61
⟶
x44
x60
⟶
(
x44
(
x54
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x53
x60
⟶
False
)
⟶
x59
x60
⟶
(
x59
(
x48
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x53
x60
⟶
False
)
⟶
x59
x60
⟶
x53
(
x48
x60
)
⟶
False
)
⟶
(
(
x11
x49
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x44
x61
⟶
x44
x60
⟶
(
x44
(
x6
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
(
x36
x49
⟶
False
)
⟶
False
)
⟶
(
(
x36
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x59
(
x4
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x44
x60
⟶
(
x44
(
x48
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x44
x60
⟶
(
x59
(
x48
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x59
(
x54
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
(
x18
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x59
(
x6
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x44
(
x9
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x39
x61
⟶
False
)
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
x39
(
x54
x61
x60
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x8
x61
⟶
False
)
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
x39
(
x54
x61
x60
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x8
x61
⟶
False
)
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
x8
(
x54
x60
x61
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x8
x61
⟶
False
)
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
x8
(
x54
x61
x60
)
⟶
False
)
⟶
(
∀ x60 x61 .
x39
x61
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
(
x8
(
x4
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x39
x61
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
(
x39
(
x4
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x8
x61
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
(
x39
(
x4
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
(
x53
x52
⟶
False
)
⟶
False
)
⟶
(
x53
x47
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x44
(
x43
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x8
x61
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
(
x8
(
x4
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x39
x61
⟶
False
)
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
x8
(
x4
x60
x61
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x39
x61
⟶
False
)
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
x39
(
x4
x61
x60
)
⟶
False
)
⟶
(
∀ x60 .
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
x8
(
x48
x60
)
⟶
False
)
⟶
(
∀ x60 .
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
(
x59
(
x48
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
x39
(
x48
x60
)
⟶
False
)
⟶
(
∀ x60 .
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
(
x59
(
x48
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x39
x61
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
(
x39
(
x6
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x39
x61
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
(
x39
(
x6
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x8
x61
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
(
x8
(
x6
x60
x61
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x8
x61
⟶
x44
x61
⟶
(
x39
x60
⟶
False
)
⟶
x44
x60
⟶
(
x8
(
x6
x61
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x8
x61
⟶
False
)
⟶
x44
x61
⟶
(
x8
x60
⟶
False
)
⟶
x44
x60
⟶
x8
(
x6
x61
x60
)
⟶
False
)
⟶
(
∀ x60 x61 .
(
x53
x61
⟶
False
)
⟶
(
x53
x60
⟶
False
)
⟶
x3
x60
(
x2
x61
)
⟶
(
x46
(
x29
x60
x61
)
x61
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x3
(
x19
x60
)
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 x62 .
(
x53
x62
⟶
False
)
⟶
(
x53
x60
⟶
False
)
⟶
x3
x60
(
x2
x62
)
⟶
x46
x61
x62
x60
⟶
(
x3
x61
x62
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x3
(
x0
x61
x60
)
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x3
(
x57
x61
x60
)
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x3
(
x56
x61
x60
)
x47
⟶
False
)
⟶
False
)
⟶
(
(
x46
x5
x47
x7
⟶
False
)
⟶
False
)
⟶
(
(
x3
x7
(
x2
x47
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x59
(
x48
x60
)
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x3
(
x55
x60
)
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x59
x60
⟶
(
x3
(
x58
x60
)
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
x47
⟶
(
x3
(
x10
x60
)
x47
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x57
x61
x60
=
x57
x60
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x3
x61
x47
⟶
x44
x60
⟶
(
x56
x61
x60
=
x56
x60
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x54
x61
x60
=
x54
x60
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x59
x61
⟶
x59
x60
⟶
(
x6
x61
x60
=
x6
x60
x61
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
(
x8
x60
⟶
False
)
⟶
(
x39
x60
⟶
False
)
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
(
x8
x60
⟶
False
)
⟶
(
x39
x60
⟶
False
)
⟶
(
x53
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
(
x2
x47
)
⟶
(
x18
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x53
x60
⟶
x42
x60
⟶
x39
x60
⟶
False
)
⟶
(
∀ x60 .
x53
x60
⟶
x42
x60
⟶
x8
x60
⟶
False
)
⟶
(
∀ x60 .
x53
x60
⟶
x42
x60
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x53
x60
⟶
False
)
⟶
x42
x60
⟶
(
x8
x60
⟶
False
)
⟶
(
x39
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x53
x60
⟶
False
)
⟶
x42
x60
⟶
(
x8
x60
⟶
False
)
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
x39
x60
⟶
x8
x60
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
x39
x60
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
x39
x60
⟶
x53
x60
⟶
False
)
⟶
(
∀ x60 .
x18
x60
⟶
(
x20
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x53
x60
⟶
False
)
⟶
x42
x60
⟶
(
x39
x60
⟶
False
)
⟶
(
x8
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
(
x53
x60
⟶
False
)
⟶
x42
x60
⟶
(
x39
x60
⟶
False
)
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x44
x60
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x18
x60
⟶
(
x21
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
x8
x60
⟶
x39
x60
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
x8
x60
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x42
x60
⟶
x8
x60
⟶
x53
x60
⟶
False
)
⟶
(
∀ x60 .
x44
x60
⟶
(
x59
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x28
x60
⟶
(
x18
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x22
x60
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x22
x60
⟶
(
x44
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x22
x60
⟶
(
x59
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x27
x60
⟶
(
x28
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x53
x60
⟶
(
x36
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
x7
⟶
(
x11
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x11
x61
⟶
x3
x60
(
x2
x61
)
⟶
(
x11
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x27
x61
⟶
x3
x60
(
x2
x61
)
⟶
(
x27
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x28
x61
⟶
x3
x60
(
x2
x61
)
⟶
(
x28
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x18
x61
⟶
x3
x60
(
x2
x61
)
⟶
(
x18
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x21
x61
⟶
x3
x60
(
x2
x61
)
⟶
(
x21
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
x47
⟶
(
x44
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
x47
⟶
(
x59
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x11
x60
⟶
(
x27
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x20
x61
⟶
x3
x60
(
x2
x61
)
⟶
(
x20
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x53
x60
⟶
(
x11
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x11
x61
⟶
x3
x60
x61
⟶
(
x22
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x27
x61
⟶
x3
x60
x61
⟶
(
x26
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x28
x61
⟶
x3
x60
x61
⟶
(
x23
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x18
x61
⟶
x3
x60
x61
⟶
(
x44
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x21
x61
⟶
x3
x60
x61
⟶
(
x42
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x20
x61
⟶
x3
x60
x61
⟶
(
x59
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 .
x3
x60
(
x2
x7
)
⟶
(
x11
x60
⟶
False
)
⟶
False
)
⟶
(
∀ x60 x61 .
x1
x60
x61
⟶
x1
x61
x60
⟶
False
)
⟶
(
x58
(