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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 . In x2 x0∀ x3 . In x3 x0∀ x4 . In x4 x0∀ x5 : ι → ι → ι → ι . (∀ x6 . In x6 x0∀ x7 . In x7 x0∀ x8 . In x8 x0In (x5 x6 x7 x8) 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 (x8 x10 x9) x9 = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x8 (x6 x10 x9) x9 = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0(x5 x9 x10 x11 = x6 (x8 (x8 x11 x9) x10) (x8 x9 x10)False)False)(∀ x9 . In x9 x0(x1 x7 x9 = x9False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0(x5 x9 x10 (x1 x9 (x1 x10 (x5 x9 x10 (x1 x9 (x1 x10 (x5 x9 x10 (x1 x9 (x1 x10 x11)))))))) = x11False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0(x5 x9 x10 (x1 x9 (x1 x10 (x5 x9 x10 (x1 x9 (x1 x10 (x5 x9 x10 (x1 x9 (x1 x10 (x5 x9 x10 (x1 x9 (x1 x10 x11))))))))))) = x11False)False)(x8 (x8 x2 x3) x4 = x8 x2 (x8 x3 x4)False)False
as obj
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as prop
da3e9..
theory
HF
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