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Proofgold Proof

pf
Claim L0: ...
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Claim L1: ...
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Claim L2: ...
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Claim L3: ...
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Claim L4: ...
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Let x0 of type ιιο be given.
Let x1 of type ιι be given.
Let x2 of type ιιο be given.
Let x3 of type ιιο be given.
Let x4 of type ιι be given.
Let x5 of type ιι be given.
Let x6 of type ιιο be given.
Let x7 of type ιι be given.
Let x8 of type ι be given.
Let x9 of type ιι be given.
Let x10 of type ιι be given.
Let x11 of type ι be given.
Let x12 of type ιιι be given.
Let x13 of type ιιιι be given.
Let x14 of type ι be given.
Let x15 of type ιιι be given.
Let x16 of type ιιι be given.
Let x17 of type ιιι be given.
Let x18 of type ιι be given.
Let x19 of type ι be given.
Let x20 of type ιι be given.
Let x21 of type ι be given.
Let x22 of type ιο be given.
Assume H5: ∀ x23 x24 . x22 x24(x24 = x23False)x22 x23False.
Assume H6: ∀ x23 x24 . x0 x23 x24x22 x24False.
Assume H7: ∀ x23 . x22 x23(x23 = x21False)False.
Assume H8: ∀ x23 x24 x25 . x0 x23 x24x2 x24 (x1 x25)x22 x25False.
Assume H9: ∀ x23 x24 x25 . x0 x24 x25x2 x25 (x1 x23)(x2 x24 x23False)False.
Assume H10: ∀ x23 x24 . x3 x24 x23(x2 x24 (x1 x23)False)False.
Assume H11: ∀ x23 x24 . x2 x24 (x1 x23)(x3 x24 x23False)False.
Assume H12: ∀ x23 x24 . x0 x23 x24(x3 (x4 x24) x23False)False.
Assume H13: ∀ x23 x24 . x2 x23 x24(x22 x24False)(x0 x23 x24False)False.
Assume H14: ∀ x23 x24 . x0 x24 x23(x2 x24 x23False)False.
Assume H15: ∀ x23 . (x3 x23 x23False)False.
Assume H16: ∀ x23 . (x22 x23False)(x6 (x5 x23) x23False)False.
Assume H17: ∀ x23 . (x22 x23False)(x2 (x5 x23) (x1 x23)False)False.
Assume H18: ∀ x23 . x6 (x7 x23) x23False.
Assume H19: ∀ x23 . (x2 (x7 x23) (x1 x23)False)False.
Assume H20: x22 x8False.
Assume H21: ∀ x23 . (x22 (x20 x23)False)False.
Assume H22: ∀ x23 . (x2 (x20 x23) (x1 x23)False)False.
Assume H23: (x22 x19False)False.
Assume H24: ∀ x23 . (x22 x23False)x22 (x9 x23)False.
Assume H25: ∀ x23 . (x22 x23False)(x2 (x9 x23) (x1 x23)False)False.
Assume H26: ∀ x23 . x22 (x10 x23)False.
Assume H27: (x22 x21False)False.
Assume H28: ∀ x23 . x22 (x1 x23)False.
Assume H29: ∀ x23 . (x2 (x18 x23) x23False)False.
Assume H30: (x22 x11False)False.
Assume H31: ∀ x23 x24 . x0 (x17 x23 x24) x23(x3 x24 x23False)False.
Assume H32: ∀ x23 x24 . (x0 (x17 ... ...) ...False)(x3 x24 x23False)False.
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