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Proofgold Term Root Disambiguation
(
∀ x0 .
prime_nat
x0
⟶
odd_nat
x0
⟶
∃ x1 .
and
(
x1
∈
setminus
x0
(
Sing
0
)
)
(
∃ x3 .
and
(
x3
∈
omega
)
(
∃ x5 .
and
(
x5
∈
omega
)
(
∃ x7 .
and
(
x7
∈
omega
)
(
∃ x9 .
and
(
x9
∈
omega
)
(
mul_SNo
x1
x0
=
add_SNo
(
mul_SNo
x3
x3
)
(
add_SNo
(
mul_SNo
x5
x5
)
(
add_SNo
(
mul_SNo
x7
x7
)
(
mul_SNo
x9
x9
)
)
)
)
)
)
)
)
)
⟶
(
∀ x0 .
nat_p
x0
⟶
∀ x1 .
x1
∈
omega
⟶
∀ x2 .
x2
∈
omega
⟶
∀ x3 .
x3
∈
omega
⟶
∀ x4 .
x4
∈
omega
⟶
mul_SNo
2
x0
=
add_SNo
(
mul_SNo
x1
x1
)
(
add_SNo
(
mul_SNo
x2
x2
)
(
add_SNo
(
mul_SNo
x3
x3
)
(
mul_SNo
x4
x4
)
)
)
⟶
∀ x5 : ο .
(
∀ x6 .
x6
∈
omega
⟶
∀ x7 .
x7
∈
omega
⟶
∀ x8 .
x8
∈
omega
⟶
∀ x9 .
x9
∈
omega
⟶
x0
=
add_SNo
(
mul_SNo
x6
x6
)
(
add_SNo
(
mul_SNo
x7
x7
)
(
add_SNo
(
mul_SNo
x8
x8
)
(
mul_SNo
x9
x9
)
)
)
⟶
x5
)
⟶
x5
)
⟶
∀ x0 .
prime_nat
x0
⟶
odd_nat
x0
⟶
∃ x1 .
and
(
x1
∈
omega
)
(
∃ x3 .
and
(
x3
∈
omega
)
(
∃ x5 .
and
(
x5
∈
omega
)
(
∃ x7 .
and
(
x7
∈
omega
)
(
x0
=
add_SNo
(
mul_SNo
x1
x1
)
(
add_SNo
(
mul_SNo
x3
x3
)
(
add_SNo
(
mul_SNo
x5
x5
)
(
mul_SNo
x7
x7
)
)
)
)
)
)
)
as obj
-
as prop
69709..
theory
HotG
stx
f6ee3..
address
TMKHp..