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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.
Let x14 of type ι be given.
Assume H13: x14x0.
Let x15 of type ι be given.
Assume H14: x15x0.
Let x16 of type ι be given.
Assume H15: x16x0.
Let x17 of type ι be given.
Assume H16: x17x0.
Let x18 of type ι be given.
Assume H17: x18x0.
Let x19 of type ι be given.
Assume H18: x19x0.
Let x20 of type ι be given.
Assume H19: x20x0.
Let x21 of type ι be given.
Assume H20: x21x0.
Let x22 of type ι be given.
Assume H21: x22x0.
Let x23 of type ι be given.
Assume H22: x23x0.
Let x24 of type ι be given.
Assume H23: x24x0.
Assume H24: x1 = x2∀ x25 : ο . x25.
Assume H25: x1 = x3∀ x25 : ο . x25.
Assume H26: x2 = x3∀ x25 : ο . x25.
Assume H27: x1 = x4∀ x25 : ο . x25.
Assume H28: x2 = x4∀ x25 : ο . x25.
Assume H29: x3 = x4∀ x25 : ο . x25.
Assume H30: x1 = x5∀ x25 : ο . x25.
Assume H31: x2 = x5∀ x25 : ο . x25.
Assume H32: x3 = x5∀ x25 : ο . x25.
Assume H33: x4 = x5∀ x25 : ο . x25.
Assume H34: x1 = x6∀ x25 : ο . x25.
Assume H35: x2 = x6∀ x25 : ο . x25.
Assume H36: x3 = x6∀ x25 : ο . x25.
Assume H37: x4 = x6∀ x25 : ο . x25.
Assume H38: x5 = x6∀ x25 : ο . x25.
Assume H39: x1 = x7∀ x25 : ο . x25.
Assume H40: x2 = x7∀ x25 : ο . x25.
Assume H41: x3 = x7∀ x25 : ο . x25.
Assume H42: x4 = x7∀ x25 : ο . x25.
Assume H43: x5 = x7∀ x25 : ο . x25.
Assume H44: x6 = x7∀ x25 : ο . x25.
Assume H45: x1 = x8∀ x25 : ο . x25.
Assume H46: x2 = x8∀ x25 : ο . x25.
Assume H47: x3 = x8∀ x25 : ο . x25.
Assume H48: x4 = x8∀ x25 : ο . x25.
Assume H49: x5 = x8∀ x25 : ο . x25.
Assume H50: x6 = x8∀ x25 : ο . x25.
Assume H51: x7 = x8∀ x25 : ο . x25.
Assume H52: x1 = x9∀ x25 : ο . x25.
Assume H53: x2 = x9∀ x25 : ο . x25.
Assume H54: x3 = x9∀ x25 : ο . x25.
Assume H55: x4 = x9∀ x25 : ο . x25.
Assume H56: x5 = x9∀ x25 : ο . x25.
Assume H57: ....
...