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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 . In x2 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 . (∀ x7 . In x7 x0∀ x8 . In x8 x0In (x6 x7 x8) 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(x7 (x10 x12 x11) x11 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x10 (x7 x12 x11) x11 = x12False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x6 x11 x12 = x8 x11 (x10 x12 x11)False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0(x1 x11 x12 = x10 (x7 x9 (x7 x9 x11)) (x7 x12 x11)False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0(x5 x11 x12 x13 = x7 (x10 (x10 x13 x11) x12) (x10 x11 x12)False)False)(∀ x11 . In x11 x0(x8 x9 x11 = x11False)False)(∀ x11 . In x11 x0(x7 x11 x9 = x11False)False)(∀ x11 . In x11 x0(x7 x11 x11 = x9False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0(x5 x11 x12 (x6 x11 (x6 x12 (x5 x11 x12 (x6 x11 (x6 x12 (x5 x11 x12 (x6 x11 (x6 x12 x13)))))))) = x13False)False)(∀ x11 . In x11 x0∀ x12 . In x12 x0∀ x13 . In x13 x0(x5 x11 x12 (x1 x11 (x6 x12 (x5 x11 x12 (x1 x11 (x6 x12 (x5 x11 x12 (x1 x11 (x6 x12 (x5 x11 x12 (x1 x11 (x6 x12 (x5 x11 x12 (x1 x11 (x6 x12 x13)))))))))))))) = x13False)False)(x10 (x10 x2 x3) x4 = x10 x2 (x10 x3 x4)False)False
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