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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∀ x10 . x10x0∀ x11 . x11x0∀ x12 . x12x0(x1 = x2∀ x13 : ο . x13)(x1 = x3∀ x13 : ο . x13)(x2 = x3∀ x13 : ο . x13)(x1 = x4∀ x13 : ο . x13)(x2 = x4∀ x13 : ο . x13)(x3 = x4∀ x13 : ο . x13)(x1 = x5∀ x13 : ο . x13)(x2 = x5∀ x13 : ο . x13)(x3 = x5∀ x13 : ο . x13)(x4 = x5∀ x13 : ο . x13)(x1 = x6∀ x13 : ο . x13)(x2 = x6∀ x13 : ο . x13)(x3 = x6∀ x13 : ο . x13)(x4 = x6∀ x13 : ο . x13)(x5 = x6∀ x13 : ο . x13)(x1 = x7∀ x13 : ο . x13)(x2 = x7∀ x13 : ο . x13)(x3 = x7∀ x13 : ο . x13)(x4 = x7∀ x13 : ο . x13)(x5 = x7∀ x13 : ο . x13)(x6 = x7∀ x13 : ο . x13)(x1 = x8∀ x13 : ο . x13)(x2 = x8∀ x13 : ο . x13)(x3 = x8∀ x13 : ο . x13)(x4 = x8∀ x13 : ο . x13)(x5 = x8∀ x13 : ο . x13)(x6 = x8∀ x13 : ο . x13)(x7 = x8∀ x13 : ο . x13)(x1 = x9∀ x13 : ο . x13)(x2 = x9∀ x13 : ο . x13)(x3 = x9∀ x13 : ο . x13)(x4 = x9∀ x13 : ο . x13)(x5 = x9∀ x13 : ο . x13)(x6 = x9∀ x13 : ο . x13)(x7 = x9∀ x13 : ο . x13)(x8 = x9∀ x13 : ο . x13)(x1 = x10∀ x13 : ο . x13)(x2 = x10∀ x13 : ο . x13)(x3 = x10∀ x13 : ο . x13)(x4 = x10∀ x13 : ο . x13)(x5 = x10∀ x13 : ο . x13)(x6 = x10∀ x13 : ο . x13)(x7 = x10∀ x13 : ο . x13)(x8 = x10∀ x13 : ο . x13)(x9 = x10∀ x13 : ο . x13)(x1 = x11∀ x13 : ο . x13)(x2 = x11∀ x13 : ο . x13)(x3 = x11∀ x13 : ο . x13)(x4 = x11∀ x13 : ο . x13)(x5 = x11∀ x13 : ο . x13)(x6 = x11∀ x13 : ο . x13)(x7 = x11∀ x13 : ο . x13)(x8 = x11∀ x13 : ο . x13)(x9 = x11∀ x13 : ο . x13)(x10 = x11∀ x13 : ο . x13)(x1 = x12∀ x13 : ο . x13)(x2 = x12∀ x13 : ο . x13)(x3 = x12∀ x13 : ο . x13)(x4 = x12∀ x13 : ο . x13)(x5 = x12∀ x13 : ο . x13)(x6 = x12∀ x13 : ο . x13)(x7 = x12∀ x13 : ο . x13)(x8 = x12∀ x13 : ο . x13)(x9 = x12∀ x13 : ο . x13)(x10 = x12∀ x13 : ο . x13)(x11 = x12∀ x13 : ο . x13)atleastp u12 x0
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