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Proofgold Term Root Disambiguation

∀ x0 x1 . x1x0∀ x2 . x2x0∀ x3 . x3x0∀ x4 . x4x0∀ x5 . x5x0∀ x6 . x6x0∀ x7 . x7x0∀ x8 . x8x0∀ x9 . x9x0(x1 = x2∀ x10 : ο . x10)(x1 = x3∀ x10 : ο . x10)(x2 = x3∀ x10 : ο . x10)(x1 = x4∀ x10 : ο . x10)(x2 = x4∀ x10 : ο . x10)(x3 = x4∀ x10 : ο . x10)(x1 = x5∀ x10 : ο . x10)(x2 = x5∀ x10 : ο . x10)(x3 = x5∀ x10 : ο . x10)(x4 = x5∀ x10 : ο . x10)(x1 = x6∀ x10 : ο . x10)(x2 = x6∀ x10 : ο . x10)(x3 = x6∀ x10 : ο . x10)(x4 = x6∀ x10 : ο . x10)(x5 = x6∀ x10 : ο . x10)(x1 = x7∀ x10 : ο . x10)(x2 = x7∀ x10 : ο . x10)(x3 = x7∀ x10 : ο . x10)(x4 = x7∀ x10 : ο . x10)(x5 = x7∀ x10 : ο . x10)(x6 = x7∀ x10 : ο . x10)(x1 = x8∀ x10 : ο . x10)(x2 = x8∀ x10 : ο . x10)(x3 = x8∀ x10 : ο . x10)(x4 = x8∀ x10 : ο . x10)(x5 = x8∀ x10 : ο . x10)(x6 = x8∀ x10 : ο . x10)(x7 = x8∀ x10 : ο . x10)(x1 = x9∀ x10 : ο . x10)(x2 = x9∀ x10 : ο . x10)(x3 = x9∀ x10 : ο . x10)(x4 = x9∀ x10 : ο . x10)(x5 = x9∀ x10 : ο . x10)(x6 = x9∀ x10 : ο . x10)(x7 = x9∀ x10 : ο . x10)(x8 = x9∀ x10 : ο . x10)atleastp u9 x0
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