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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(x8 x9 x7 = x9False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x6 x9 (x8 x9 x10) = x10False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0(x1 x9 x10 = x8 (x6 x9 x10) (x6 (x6 x9 x7) x7)False)False)(∀ x9 . In x9 x0(x6 x7 x9 = x9False)False)(∀ x9 . In x9 x0(x6 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 (x5 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x5 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x5 x10 (x1 x9 (x2 x11 x10 (x2 x9 x11 (x5 x10 (x1 x9 (x2 x11 x10 x12))))))))))))))) = x12False)False)(∀ x9 . In x9 x0∀ x10 . In x10 x0∀ x11 . In x11 x0(x2 x9 x10 (x1 x9 (x1 x10 (x2 x9 x10 (x1 x9 (x1 x10 (x2 x9 x10 (x1 x9 (x1 x10 (x2 x9 x10 (x1 x9 (x1 x10 (x2 x9 x10 (x1 x9 (x1 x10 x11)))))))))))))) = x11False)False)(x8 x4 x3 = x8 x3 x4False)False
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as prop
76cd3..
theory
HF
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f8888..
address
TMJ6n..