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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 : ι → ι → ι → ι . (∀ x7 . In x7 x0∀ x8 . In x8 x0∀ x9 . In x9 x0In (x6 x7 x8 x9) 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 . 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 x0x10 x12 x11 = x10 x13 x11(x12 = x13False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x1 x11 x12 = x10 (x8 x11 x12) (x8 (x8 x11 x9) x9)False)False)(∀ x11 . In x11 x0(x8 x9 x11 = x11False)False)(∀ x11 . In x11 x0(x8 x11 x11 = x9False)False)(∀ x11 . In x11 x0(x7 x9 x11 = x11False)False)(∀ x11 . In x11 x0(x2 x9 x11 = x11False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x6 x9 x11 x12 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x6 x11 x9 x12 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x5 x9 x11 x12 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0∀ x14 . In x14 x0(x6 x11 x13 (x1 x12 (x2 x11 (x6 x13 x12 (x6 x11 x13 (x1 x12 (x2 x11 (x6 x13 x12 (x6 x11 x13 (x1 x12 (x2 x11 (x6 x13 x12 x14))))))))))) = x14False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0∀ x14 . In x14 x0(x5 x11 x13 (x1 x12 (x7 x11 (x5 x13 x12 (x5 x11 x13 (x1 x12 (x7 x11 (x5 x13 x12 x14))))))) = x14False)False)(x10 x3 x4 = x10 x4 x3False)False
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