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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 ι be given.
Let x2 of type ιιο be given.
Let x3 of type ιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιιι be given.
Let x6 of type ι be given.
Let x7 of type ιο be given.
Let x8 of type ιιο be given.
Let x9 of type ι be given.
Let x10 of type ιο be given.
Let x11 of type ιιι be given.
Let x12 of type ιιι be given.
Let x13 of type ιι be given.
Let x14 of type ι be given.
Let x15 of type ιο be given.
Let x16 of type ιι be given.
Let x17 of type ι 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 ιιι be given.
Let x22 of type ιι be given.
Let x23 of type ιιι be given.
Let x24 of type ιιι be given.
Let x25 of type ιιι be given.
Let x26 of type ι be given.
Let x27 of type ι 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 ιιο be given.
Let x33 of type ιι be given.
Let x34 of type ιι be given.
Let x35 of type ιι be given.
Let x36 of type ιι be given.
Let x37 of type ι be given.
Let x38 of type ιιι be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ιο be given.
Let x43 of type ι be given.
Let x44 of type ιι be given.
Let x45 of type ι be given.
Let x46 of type ιιο be given.
Let x47 of type ιι be given.
Let x48 of type ι be given.
Let x49 of type ιιι be given.
Let x50 of type ιο be given.
Let x51 of type ιιι be given.
Let x52 of type ιιι be given.
Let x53 of type ιιιο be given.
Let x54 of type ι be given.
Let x55 of type ι be given.
Let x56 of type ιιι be given.
Let x57 of type ιιο be given.
Let x58 of type ιι be given.
Let x59 of type ι be given.
Let x60 of type ιο be given.
Assume H5: ∀ x61 x62 . x60 x62(x62 = x61False)x60 x61False.
Assume H6: ∀ x61 x62 . x0 x61 x62x60 x62False.
Assume H7: ∀ x61 . x60 x61(x61 = x59False)False.
Assume H8: ∀ x61 x62 x63 . x2 x63 x1x2 x61 x1x2 x62 x1x3 x63 x61 = x3 x62 x61(x63 = x62False)False.
Assume H9: ∀ x61 x62 x63 . x0 x61 x62x2 x62 (x58 x63)x60 x63False.
Assume H10: ∀ x61 x62 x63 . x2 x63 x1x2 x61 x1x2 x62 x1(x3 (x3 x63 x61) x62 = x3 x63 (x3 x61 x62)False)False.
Assume H11: ∀ x61 x62 x63 . x0 x62 x63x2 x63 (x58 x61)(x2 x62 x61False)False.
Assume H12: ∀ x61 . (x4 x59 x61 = x59False)False.
Assume H13: ∀ x61 x62 . x57 x62 x61(x2 x62 (x58 x61)False)False.
Assume H14: ∀ x61 x62 . x2 x62 (x58 x61)(x57 x62 x61False)False.
Assume H15: ∀ x61 . (x4 x61 x59 = x61False)False.
Assume H16: ∀ x61 x62 x63 . x0 x62 x63x0 x61 x63x0 x61 (x5 x63 x62)False.
Assume H17: ∀ x61 x62 . x0 x62 x61(x0 (x5 x61 x62) x61False)False.
Assume H18: ∀ x61 x62 . x2 x61 x62(x60 x62False)(x0 x61 x62False)False.
Assume H19: ∀ x61 x62 . x0 x62 x61(x2 x62 x61False)False.
Assume H20: (x2 x59 x6False)False.
Assume H21: ∀ x61 . (x56 x61 x59 = x61False)False.
Assume H22: ∀ x61 x62 . x7 x62x7 x61x8 x62 x61(x8 x61 x62False)False.
Assume H23: (x2 x54 x55False)False.
Assume H24: (x2 x54 x9False)False.
Assume H25: (...False)False.
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