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Proofgold Term Root Disambiguation
λ x0 x1 .
prim0
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x2
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x2
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x3
x2
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x3
x2
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x2
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x3
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x2
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x3
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x3
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x2
)
)
(
prim0
(
prim0
x3
x2
)
(
prim0
x3
x3
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x2
)
)
(
prim0
(
prim0
x2
x3
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x3
x2
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x2
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x3
)
)
(
prim0
(
prim0
x2
x2
)
(
prim0
x3
x2
)
)
)
)
)
(
prim0
(
prim1
(
λ x2 .
prim1
(
λ x3 .
prim0
(
prim0
(
prim0
x3
x2
)
(
prim0
x2
x2
)
)
(
prim0
(
prim0
x3
x3
)
(
prim0
x3
x3
)
)
)
)
)
(
prim1
(
λ x2 .
x2
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
)
(
prim0
x0
x1
)
as obj
6b90c..
as prop
-
theory
HOAS
stx
cbccf..
address
TMZCc..