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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 . In x5 x0∀ x6 : ι → ι → ι . (∀ x7 . In x7 x0∀ x8 . In x8 x0In (x6 x7 x8) x0)∀ x7 : ι → ι → ι → ι . (∀ x8 . In x8 x0∀ x9 . In x9 x0∀ x10 . In x10 x0In (x7 x8 x9 x10) x0)∀ x8 : ι → ι → ι . (∀ x9 . In x9 x0∀ x10 . In x10 x0In (x8 x9 x10) x0)∀ x9 . In x9 x0∀ x10 : ι → ι → ι . (∀ x11 . In x11 x0∀ x12 . In x12 x0In (x10 x11 x12) x0)(∀ x11 . In x11 x0(x10 x9 x11 = x11False)False)(∀ x11 . In x11 x0(x10 x11 x9 = x11False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x8 x11 (x10 x11 x12) = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x10 x11 (x8 x11 x12) = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0(x7 x11 x12 x13 = x8 (x10 x12 x11) (x10 x12 (x10 x11 x13))False)False)(∀ x11 . In x11 x0(x1 x9 x11 = x11False)False)(∀ x11 . In x11 x0(x6 x9 x11 = x11False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x2 x9 x11 x12 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x2 x11 x9 x12 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0∀ x14 . In x14 x0(x7 x11 x13 (x1 x12 (x6 x11 (x2 x13 x12 (x7 x11 x13 (x1 x12 (x6 x11 (x2 x13 x12 x14))))))) = x14False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0(x7 x11 x12 (x1 x11 (x6 x12 (x7 x11 x12 (x1 x11 (x6 x12 (x7 x11 x12 (x1 x11 (x6 x12 x13)))))))) = x13False)False)(x10 (x10 x5 x4) x3 = x10 x5 (x10 x4 x3)False)False
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HF
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TMGUU..