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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 ιο be given.
Let x1 of type ι be given.
Let x2 of type ιο be given.
Let x3 of type ιιιι be given.
Let x4 of type ιιιο 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 ιιο be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ιο be given.
Let x13 of type ιο be given.
Let x14 of type ιι be given.
Let x15 of type ιι be given.
Let x16 of type ιο be given.
Let x17 of type ι be given.
Let x18 of type ιο be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ιο be given.
Let x22 of type ι be given.
Let x23 of type ιο be given.
Let x24 of type ι be given.
Let x25 of type ιι be given.
Let x26 of type ιο be given.
Let x27 of type ιιι be given.
Let x28 of type ιιι be given.
Let x29 of type ι be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ιιο be given.
Let x34 of type ιι be given.
Let x35 of type ι be given.
Let x36 of type ι be given.
Let x37 of type ι be given.
Let x38 of type ιο be given.
Let x39 of type ι be given.
Let x40 of type ιο be given.
Let x41 of type ι be given.
Let x42 of type ιιιο be given.
Let x43 of type ιιι be given.
Let x44 of type ιο be given.
Let x45 of type ιιι be given.
Let x46 of type ιιο be given.
Let x47 of type ιι be given.
Let x48 of type ιι be given.
Let x49 of type ιο be given.
Let x50 of type ιο be given.
Let x51 of type ιο be given.
Let x52 of type ιι be given.
Let x53 of type ιιιι be given.
Let x54 of type ιιιι be given.
Let x55 of type ιο be given.
Let x56 of type ι be given.
Let x57 of type ιιο be given.
Let x58 of type ιι be given.
Let x59 of type ιιο be given.
Let x60 of type ιο be given.
Let x61 of type ιο be given.
Let x62 of type ιο be given.
Let x63 of type ιο be given.
Let x64 of type ιο be given.
Let x65 of type ιο be given.
Let x66 of type ιιιιι be given.
Let x67 of type ιι be given.
Let x68 of type ιι be given.
Let x69 of type ιιο be given.
Let x70 of type ιι be given.
Let x71 of type ιο be given.
Let x72 of type ιο be given.
Let x73 of type ιο be given.
Let x74 of type ιο be given.
Let x75 of type ιο be given.
Let x76 of type ιο be given.
Assume H5: ∀ x77 x78 x79 x80 . (x76 x80False)(x60 x80False)x75 x80x61 x80x74 x80x62 x80x73 x80x63 x80x72 x80x64 x80x71 x80x65 x80x69 x79 (x70 x80)x69 x77 (x70 x80)x69 x78 (x70 x80)(x66 (x70 x80) (x68 x80) x79 (x66 (x70 x80) (x67 x80) x77 x78) = x66 (x70 x80) (x67 x80) (x66 (x70 x80) (x68 x80) x79 x77) (x66 (x70 x80) (x68 x80) x79 x78)False)False.
Assume H6: ∀ x77 x78 . x0 x78(x78 = x77False)x0 x77False.
Assume H7: ∀ x77 x78 . x59 x77 x78x0 x78False.
Assume H8: ∀ x77 . x0 x77(x77 = x1False)False.
Assume H9: ∀ x77 x78 x79 . x59 x77 x78x69 x78 (x58 x79)x0 x79False.
Assume H10: ∀ x77 x78 x79 . x59 x78 x79x69 x79 (x58 x77)(x69 x78 x77False)False.
Assume H11: ∀ x77 x78 . x57 x78 x77(x69 x78 (x58 x77)False)False.
Assume H12: ∀ x77 x78 . x69 x78 (x58 x77)(x57 x78 x77False)False.
Assume H13: ∀ x77 x78 . x69 x77 x78(x0 x78False)(x59 x77 x78False)False.
Assume H14: ∀ x77 x78 . x59 x78 x77(x69 x78 x77False)False.
Assume H15: x0 x56False.
Assume H16: ∀ x77 . (x57 x77 x77False)False.
Assume H17: ∀ x77 x78 x79 . (x76 x79False)x72 x79x55 x79x69 x77 (x70 x79)x69 x78 (x70 x79)(x54 x79 x77 x78 = x53 x79 x77 x78False)False.
Assume H18: ∀ x77 x78 x79 x80 . ...............(x66 x77 x80 x78 ... = ...False)False.
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