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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 ιιο be given.
Let x2 of type ιο be given.
Let x3 of type ι be given.
Let x4 of type ιο be given.
Let x5 of type ι be given.
Let x6 of type ιο be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ι be given.
Let x13 of type ιιιι be given.
Let x14 of type ιο be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Let x17 of type ιιι be given.
Let x18 of type ιιι be given.
Let x19 of type ιιιιι be given.
Let x20 of type ιιιι be given.
Let x21 of type ιιιι be given.
Let x22 of type ιιι be given.
Let x23 of type ιι be given.
Let x24 of type ιι be given.
Let x25 of type ιιι be given.
Let x26 of type ιιι be given.
Let x27 of type ιιι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ιο be given.
Let x31 of type ιο be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ιο be given.
Assume H5: ∀ x35 x36 . x34 x36(x36 = x35False)x34 x35False.
Assume H6: ∀ x35 x36 . x0 x35 x36x34 x36False.
Assume H7: ∀ x35 . x34 x35(x35 = x33False)False.
Assume H8: ∀ x35 x36 . x1 x35 x36(x34 x36False)(x0 x35 x36False)False.
Assume H9: ∀ x35 x36 . x0 x36 x35(x1 x36 x35False)False.
Assume H10: x2 x3False.
Assume H11: x34 x32False.
Assume H12: (x4 x5False)False.
Assume H13: (x31 x5False)False.
Assume H14: (x6 x7False)False.
Assume H15: (x30 x7False)False.
Assume H16: (x31 x7False)False.
Assume H17: (x2 x29False)False.
Assume H18: x34 x29False.
Assume H19: (x34 x28False)False.
Assume H20: (x31 x8False)False.
Assume H21: x34 x8False.
Assume H22: (x30 x9False)False.
Assume H23: (x31 x9False)False.
Assume H24: ∀ x35 . (x34 x35False)x31 x35x34 (x10 x35)False.
Assume H25: ∀ x35 x36 x37 x38 . (x31 (x27 (x26 x36 x35) (x26 x38 x37))False)False.
Assume H26: ∀ x35 x36 . (x31 (x11 (x26 x36 x35))False)False.
Assume H27: ∀ x35 x36 . x34 (x27 x35 x36)False.
Assume H28: ∀ x35 . (x2 (x11 x35)False)False.
Assume H29: ∀ x35 . x34 (x11 x35)False.
Assume H30: ∀ x35 . x2 x35x31 x35(x2 (x10 x35)False)False.
Assume H31: ∀ x35 x36 . x34 x36x31 x36(x34 (x25 x36 x35)False)False.
Assume H32: ∀ x35 x36 . x31 x36x34 x35(x34 (x25 x36 x35)False)False.
Assume H33: ∀ x35 x36 . x34 (x26 x35 x36)False.
Assume H34: (x34 x33False)False.
Assume H35: ∀ x35 x36 . (x30 (x11 (x26 x36 x35))False)False.
Assume H36: ∀ x35 . x34 x35(x34 (x10 x35)False)False.
Assume H37: ∀ x35 . (x1 (x24 x35) x35False)False.
Assume H38: (x34 x12False)False.
Assume H39: ∀ x35 x36 . (... = ...False)False.
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