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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 . (∀ x3 . In x3 x0∀ x4 . In x4 x0In (x2 x3 x4) 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 . In x6 x0∀ x7 : ι → ι → ι . (∀ x8 . In x8 x0∀ x9 . In x9 x0In (x7 x8 x9) x0)∀ x8 : ι → ι → ι . (∀ x9 . In x9 x0∀ x10 . In x10 x0In (x8 x9 x10) x0)∀ x9 : ι → ι → ι . (∀ x10 . In x10 x0∀ x11 . In x11 x0In (x9 x10 x11) x0)(∀ x10 . In x10 x0∀ x11 . In x11 x0(x9 x10 (x8 x10 x11) = x11False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0(x1 x10 x11 = x8 x10 (x9 x11 x10)False)False)(∀ x10 . In x10 x0(x7 x6 x10 = x10False)False)(∀ x10 . In x10 x0(x2 x6 x10 = x10False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0(x5 x6 x10 x11 = x11False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0∀ x12 . In x12 x0(x5 x10 x11 (x7 x10 (x1 x11 (x5 x10 x11 (x7 x10 (x1 x11 (x5 x10 x11 (x7 x10 (x1 x11 (x5 x10 x11 (x7 x10 (x1 x11 x12))))))))))) = x12False)False)(∀ x10 . In x10 x0∀ x11 . In x11 x0∀ x12 . In x12 x0(x5 x10 x11 (x2 x10 (x1 x11 (x5 x10 x11 (x2 x10 (x1 x11 (x5 x10 x11 (x2 x10 (x1 x11 (x5 x10 x11 (x2 x10 (x1 x11 (x5 x10 x11 (x2 x10 (x1 x11 x12)))))))))))))) = x12False)False)(x9 x3 x4 = x9 x4 x3False)False
as obj
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as prop
8b37f..
theory
HF
stx
36706..
address
TMHWP..