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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: x1x0.
Let x2 of type ι be given.
Assume H1: x2x0.
Let x3 of type ι be given.
Assume H2: x3x0.
Let x4 of type ι be given.
Assume H3: x4x0.
Let x5 of type ι be given.
Assume H4: x5x0.
Let x6 of type ι be given.
Assume H5: x6x0.
Let x7 of type ι be given.
Assume H6: x7x0.
Let x8 of type ι be given.
Assume H7: x8x0.
Let x9 of type ι be given.
Assume H8: x9x0.
Let x10 of type ι be given.
Assume H9: x10x0.
Let x11 of type ι be given.
Assume H10: x11x0.
Let x12 of type ι be given.
Assume H11: x12x0.
Let x13 of type ι be given.
Assume H12: x13x0.
Assume H13: x1 = x2∀ x14 : ο . x14.
Assume H14: x1 = x3∀ x14 : ο . x14.
Assume H15: x2 = x3∀ x14 : ο . x14.
Assume H16: x1 = x4∀ x14 : ο . x14.
Assume H17: x2 = x4∀ x14 : ο . x14.
Assume H18: x3 = x4∀ x14 : ο . x14.
Assume H19: x1 = x5∀ x14 : ο . x14.
Assume H20: x2 = x5∀ x14 : ο . x14.
Assume H21: x3 = x5∀ x14 : ο . x14.
Assume H22: x4 = x5∀ x14 : ο . x14.
Assume H23: x1 = x6∀ x14 : ο . x14.
Assume H24: x2 = x6∀ x14 : ο . x14.
Assume H25: x3 = x6∀ x14 : ο . x14.
Assume H26: x4 = x6∀ x14 : ο . x14.
Assume H27: x5 = x6∀ x14 : ο . x14.
Assume H28: x1 = x7∀ x14 : ο . x14.
Assume H29: x2 = x7∀ x14 : ο . x14.
Assume H30: x3 = x7∀ x14 : ο . x14.
Assume H31: x4 = x7∀ x14 : ο . x14.
Assume H32: x5 = x7∀ x14 : ο . x14.
Assume H33: x6 = x7∀ x14 : ο . x14.
Assume H34: x1 = x8∀ x14 : ο . x14.
Assume H35: x2 = x8∀ x14 : ο . x14.
Assume H36: x3 = x8∀ x14 : ο . x14.
Assume H37: x4 = x8∀ x14 : ο . x14.
Assume H38: x5 = x8∀ x14 : ο . x14.
Assume H39: x6 = x8∀ x14 : ο . x14.
Assume H40: x7 = x8∀ x14 : ο . x14.
Assume H41: x1 = x9∀ x14 : ο . x14.
Assume H42: x2 = x9∀ x14 : ο . x14.
Assume H43: x3 = x9∀ x14 : ο . x14.
Assume H44: x4 = x9∀ x14 : ο . x14.
Assume H45: x5 = x9∀ x14 : ο . x14.
Assume H46: x6 = x9∀ x14 : ο . x14.
Assume H47: x7 = x9∀ x14 : ο . x14.
Assume H48: x8 = x9∀ x14 : ο . x14.
Assume H49: x1 = x10∀ x14 : ο . x14.
Assume H50: x2 = x10∀ x14 : ο . x14.
Assume H51: x3 = x10∀ x14 : ο . x14.
Assume H52: x4 = x10∀ x14 : ο . x14.
Assume H53: x5 = ...∀ x14 : ο . x14.
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