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Proofgold Term Root Disambiguation

∀ x0 . ∀ x1 : ι → ι → ι . (∀ x2 . In x2 x0∀ x3 . In x3 x0In (x1 x2 x3) x0)∀ x2 : ι → ι → ι → ι . (∀ x3 . In x3 x0∀ x4 . In x4 x0∀ x5 . In x5 x0In (x2 x3 x4 x5) x0)∀ x3 . In x3 x0∀ x4 . In x4 x0∀ x5 : ι → ι → ι . (∀ x6 . In x6 x0∀ x7 . In x7 x0In (x5 x6 x7) x0)∀ x6 : ι → ι → ι . (∀ x7 . In x7 x0∀ x8 . In x8 x0In (x6 x7 x8) x0)∀ x7 . In x7 x0∀ x8 : ι → ι → ι . (∀ x9 . In x9 x0∀ x10 . In x10 x0In (x8 x9 x10) x0)(∀ x9 . In x9 x0(x8 x7 x9 = x9False)False)(∀ x9 . In x9 x0(x8 x9 x7 = x9False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x6 x9 (x8 x9 x10) = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x1 x9 x10 = x8 (x6 x9 x10) (x6 (x6 x9 x7) x7)False)False)(∀ x9 . In x9 x0(x6 x7 x9 = x9False)False)(∀ x9 . In x9 x0(x6 x9 x9 = x7False)False)(∀ x9 . In x9 x0(x5 x7 x9 = x9False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x2 x7 x9 x10 = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x2 x9 x7 x10 = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0∀ x12 . In x12 x0(x2 x9 x11 (x1 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x1 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x1 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x1 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x1 x10 (x1 x9 (x2 x11 x10 x12))))))))))))))))))) = x12False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0(x2 x9 x10 (x1 x9 (x5 x10 (x2 x9 x10 (x1 x9 (x5 x10 x11))))) = x11False)False)(x8 x3 x4 = x8 x4 x3False)False
as obj
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as prop
9406c..
theory
HF
stx
c0143..
address
TMakK..