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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∀ x13 . x13x0∀ x14 . x14x0∀ x15 . x15x0∀ x16 . x16x0∀ x17 . x17x0∀ x18 . x18x0∀ x19 . x19x0∀ x20 . x20x0∀ x21 . x21x0(x1 = x2∀ x22 : ο . x22)(x1 = x3∀ x22 : ο . x22)(x2 = x3∀ x22 : ο . x22)(x1 = x4∀ x22 : ο . x22)(x2 = x4∀ x22 : ο . x22)(x3 = x4∀ x22 : ο . x22)(x1 = x5∀ x22 : ο . x22)(x2 = x5∀ x22 : ο . x22)(x3 = x5∀ x22 : ο . x22)(x4 = x5∀ x22 : ο . x22)(x1 = x6∀ x22 : ο . x22)(x2 = x6∀ x22 : ο . x22)(x3 = x6∀ x22 : ο . x22)(x4 = x6∀ x22 : ο . x22)(x5 = x6∀ x22 : ο . x22)(x1 = x7∀ x22 : ο . x22)(x2 = x7∀ x22 : ο . x22)(x3 = x7∀ x22 : ο . x22)(x4 = x7∀ x22 : ο . x22)(x5 = x7∀ x22 : ο . x22)(x6 = x7∀ x22 : ο . x22)(x1 = x8∀ x22 : ο . x22)(x2 = x8∀ x22 : ο . x22)(x3 = x8∀ x22 : ο . x22)(x4 = x8∀ x22 : ο . x22)(x5 = x8∀ x22 : ο . x22)(x6 = x8∀ x22 : ο . x22)(x7 = x8∀ x22 : ο . x22)(x1 = x9∀ x22 : ο . x22)(x2 = x9∀ x22 : ο . x22)(x3 = x9∀ x22 : ο . x22)(x4 = x9∀ x22 : ο . x22)(x5 = x9∀ x22 : ο . x22)(x6 = x9∀ x22 : ο . x22)(x7 = x9∀ x22 : ο . x22)(x8 = x9∀ x22 : ο . x22)(x1 = x10∀ x22 : ο . x22)(x2 = x10∀ x22 : ο . x22)(x3 = x10∀ x22 : ο . x22)(x4 = x10∀ x22 : ο . x22)(x5 = x10∀ x22 : ο . x22)(x6 = x10∀ x22 : ο . x22)(x7 = x10∀ x22 : ο . x22)(x8 = x10∀ x22 : ο . x22)(x9 = x10∀ x22 : ο . x22)(x1 = x11∀ x22 : ο . x22)(x2 = x11∀ x22 : ο . x22)(x3 = x11∀ x22 : ο . x22)(x4 = x11∀ x22 : ο . x22)(x5 = x11∀ x22 : ο . x22)(x6 = x11∀ x22 : ο . x22)(x7 = x11∀ x22 : ο . x22)(x8 = x11∀ x22 : ο . x22)(x9 = x11∀ x22 : ο . x22)(x10 = x11∀ x22 : ο . x22)(x1 = x12∀ x22 : ο . x22)(x2 = x12∀ x22 : ο . x22)(x3 = x12∀ x22 : ο . x22)(x4 = x12∀ x22 : ο . x22)(x5 = x12∀ x22 : ο . x22)(x6 = x12∀ x22 : ο . x22)(x7 = x12∀ x22 : ο . x22)(x8 = x12∀ x22 : ο . x22)(x9 = x12∀ x22 : ο . x22)(x10 = x12∀ x22 : ο . x22)(x11 = x12∀ x22 : ο . x22)(x1 = x13∀ x22 : ο . x22)(x2 = x13∀ x22 : ο . x22)(x3 = x13∀ x22 : ο . x22)(x4 = x13∀ x22 : ο . x22)(x5 = x13∀ x22 : ο . x22)(x6 = x13∀ x22 : ο . x22)(x7 = x13∀ x22 : ο . x22)(x8 = x13∀ x22 : ο . x22)(x9 = x13∀ x22 : ο . x22)(x10 = x13∀ x22 : ο . x22)(x11 = x13∀ x22 : ο . x22)(x12 = x13∀ x22 : ο . x22)(x1 = x14∀ x22 : ο . x22)(x2 = x14∀ x22 : ο . x22)(x3 = x14∀ x22 : ο . x22)(x4 = x14∀ x22 : ο . x22)(x5 = x14∀ x22 : ο . x22)(x6 = x14∀ x22 : ο . x22)(x7 = x14∀ x22 : ο . x22)(x8 = x14∀ x22 : ο . x22)(x9 = x14∀ x22 : ο . x22)(x10 = x14∀ x22 : ο . x22)(x11 = x14∀ x22 : ο . x22)(x12 = x14∀ x22 : ο . x22)(x13 = x14∀ x22 : ο . x22)(x1 = x15∀ x22 : ο . x22)(x2 = x15∀ x22 : ο . x22)(x3 = x15∀ x22 : ο . x22)(x4 = x15∀ x22 : ο . x22)(x5 = x15∀ x22 : ο . x22)(x6 = x15∀ x22 : ο . x22)(x7 = x15∀ x22 : ο . x22)(x8 = x15∀ x22 : ο . x22)(x9 = x15∀ x22 : ο . x22)(x10 = x15∀ x22 : ο . x22)(x11 = x15∀ x22 : ο . x22)(x12 = x15∀ x22 : ο . x22)(x13 = x15∀ x22 : ο . x22)(x14 = x15∀ x22 : ο . x22)(x1 = x16∀ x22 : ο . x22)(x2 = x16∀ x22 : ο . x22)(x3 = x16∀ x22 : ο . x22)(x4 = x16∀ x22 : ο . x22)(x5 = x16∀ x22 : ο . x22)(x6 = x16∀ x22 : ο . x22)(x7 = x16∀ x22 : ο . x22)(x8 = x16∀ x22 : ο . x22)(x9 = x16∀ x22 : ο . x22)(x10 = x16∀ x22 : ο . x22)(x11 = x16∀ x22 : ο . x22)(x12 = x16∀ x22 : ο . x22)(x13 = x16∀ x22 : ο . x22)(x14 = x16∀ x22 : ο . x22)(x15 = x16∀ x22 : ο . x22)(x1 = x17∀ x22 : ο . x22)(x2 = x17∀ x22 : ο . x22)(x3 = x17∀ x22 : ο . x22)(x4 = x17∀ x22 : ο . x22)(x5 = x17∀ x22 : ο . x22)(x6 = x17∀ x22 : ο . x22)(x7 = x17∀ x22 : ο . x22)(x8 = x17∀ x22 : ο . x22)(x9 = x17∀ x22 : ο . x22)(x10 = x17∀ x22 : ο . x22)(x11 = x17∀ x22 : ο . x22)(x12 = x17∀ x22 : ο . x22)(x13 = x17∀ x22 : ο . x22)(x14 = x17∀ x22 : ο . x22)(x15 = x17∀ x22 : ο . x22)(x16 = x17∀ x22 : ο . x22)(x1 = x18∀ x22 : ο . x22)(x2 = x18∀ x22 : ο . x22)(x3 = x18∀ x22 : ο . x22)(x4 = x18∀ x22 : ο . x22)(x5 = x18∀ x22 : ο . x22)(x6 = x18∀ x22 : ο . x22)(x7 = x18∀ x22 : ο . x22)(x8 = x18∀ x22 : ο . x22)(x9 = x18∀ x22 : ο . x22)(x10 = x18∀ x22 : ο . x22)(x11 = x18∀ x22 : ο . x22)(x12 = x18∀ x22 : ο . x22)(x13 = x18∀ x22 : ο . x22)(x14 = x18∀ x22 : ο . x22)(x15 = x18∀ x22 : ο . x22)(x16 = x18∀ x22 : ο . x22)(x17 = x18∀ x22 : ο . x22)(x1 = x19∀ x22 : ο . x22)(x2 = x19∀ x22 : ο . x22)(x3 = x19∀ x22 : ο . x22)(x4 = x19∀ x22 : ο . x22)(x5 = x19∀ x22 : ο . x22)(x6 = x19∀ x22 : ο . x22)(x7 = x19∀ x22 : ο . x22)(x8 = x19∀ x22 : ο . x22)(x9 = x19∀ x22 : ο . x22)(x10 = x19∀ x22 : ο . x22)(x11 = x19∀ x22 : ο . x22)(x12 = x19∀ x22 : ο . x22)(x13 = x19∀ x22 : ο . x22)(x14 = x19∀ x22 : ο . x22)(x15 = x19∀ x22 : ο . x22)(x16 = x19∀ x22 : ο . x22)(x17 = x19∀ x22 : ο . x22)(x18 = x19∀ x22 : ο . x22)(x1 = x20∀ x22 : ο . x22)(x2 = x20∀ x22 : ο . x22)(x3 = x20∀ x22 : ο . x22)(x4 = x20∀ x22 : ο . x22)(x5 = x20∀ x22 : ο . x22)(x6 = x20∀ x22 : ο . x22)(x7 = x20∀ x22 : ο . x22)(x8 = x20∀ x22 : ο . x22)(x9 = x20∀ x22 : ο . x22)(x10 = x20∀ x22 : ο . x22)(x11 = x20∀ x22 : ο . x22)(x12 = x20∀ x22 : ο . x22)(x13 = x20∀ x22 : ο . x22)(x14 = x20∀ x22 : ο . x22)(x15 = x20∀ x22 : ο . x22)(x16 = x20∀ x22 : ο . x22)(x17 = x20∀ x22 : ο . x22)(x18 = x20∀ x22 : ο . x22)(x19 = x20∀ x22 : ο . x22)(x1 = x21∀ x22 : ο . x22)(x2 = x21∀ x22 : ο . x22)(x3 = x21∀ x22 : ο . x22)(x4 = x21∀ x22 : ο . x22)(x5 = x21∀ x22 : ο . x22)(x6 = x21∀ x22 : ο . x22)(x7 = x21∀ x22 : ο . x22)(x8 = x21∀ x22 : ο . x22)(x9 = x21∀ x22 : ο . x22)(x10 = x21∀ x22 : ο . x22)(x11 = x21∀ x22 : ο . x22)(x12 = x21∀ x22 : ο . x22)(x13 = x21∀ x22 : ο . x22)(x14 = x21∀ x22 : ο . x22)(x15 = x21∀ x22 : ο . x22)(x16 = x21∀ x22 : ο . x22)(x17 = x21∀ x22 : ο . x22)(x18 = x21∀ x22 : ο . x22)(x19 = x21∀ x22 : ο . x22)(x20 = x21∀ x22 : ο . x22)atleastp u21 x0
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