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Proofgold Term Root Disambiguation
∀ x0 x1 .
nat_p
x1
⟶
add_nat
x0
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
x1
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
=
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
ordsucc
(
add_nat
x0
x1
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
as obj
-
as prop
58d06..
theory
HF
stx
d6132..
address
TMGjS..