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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∀ x12 . In x12 x0(x5 x9 x11 (x1 x10 (x1 x9 (x5 x11 x10 (x5 x9 x11 (x1 x10 (x1 x9 (x5 x11 x10 (x5 x9 x11 (x1 x10 (x1 x9 (x5 x11 x10 (x5 x9 x11 (x1 x10 (x1 x9 (x5 x11 x10 x12))))))))))))))) = x12False)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)(x8 (x8 x2 x3) x4 = x8 x2 (x8 x3 x4)False)False
as obj
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as prop
3a3c6..
theory
HF
stx
36706..
address
TMQPa..