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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∀ x10 . In x10 x0(x1 x9 (x8 x9 x10) = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x6 x9 x10 = x8 (x1 x9 x10) (x1 (x1 x9 x7) x7)False)False)(∀ x9 . In x9 x0(x1 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 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 (x2 x9 x11 (x6 x10 x12))))))))))))))))))) = x12False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0(x2 x9 x10 (x6 x9 (x5 x10 (x2 x9 x10 (x6 x9 (x5 x10 (x2 x9 x10 (x6 x9 (x5 x10 x11)))))))) = x11False)False)(x8 x3 x4 = x8 x4 x3False)False
as obj
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as prop
5e6f8..
theory
HF
stx
36706..
address
TMZS5..