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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 . (∀ x6 . In x6 x0∀ x7 . In x7 x0In (x5 x6 x7) x0)∀ x6 : ι → ι → ι → ι . (∀ x7 . In x7 x0∀ x8 . In x8 x0∀ x9 . In x9 x0In (x6 x7 x8 x9) x0)∀ x7 : ι → ι → ι . (∀ x8 . In x8 x0∀ x9 . In x9 x0In (x7 x8 x9) x0)∀ x8 . In x8 x0∀ x9 : ι → ι → ι . (∀ x10 . In x10 x0∀ x11 . In x11 x0In (x9 x10 x11) x0)(∀ x10 . In x10 x0(x9 x8 x10 = x10False)False)(∀ x10 . In x10 x0(x9 x10 x8 = x10False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0(x7 x10 (x9 x10 x11) = x11False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0(x9 x10 (x7 x10 x11) = x11False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0∀ x12 . In x12 x0(x6 x10 x11 x12 = x7 (x9 x11 x10) (x9 x11 (x9 x10 x12))False)False)(∀ x10 . In x10 x0(x1 x8 x10 = x10False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0∀ x12 . In x12 x0(x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 x12)))))))))))))) = x12False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0∀ x12 . In x12 x0(x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 (x6 x10 x11 (x5 x10 (x1 x11 x12))))))))))) = x12False)False)(x9 (x9 x2 x3) x4 = x9 x2 (x9 x3 x4)False)False
as obj
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as prop
b6395..
theory
HF
stx
4beb2..
address
TMVwC..