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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 ιο be given.
Let x2 of type ιιι be given.
Let x3 of type ιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιι be given.
Let x6 of type ιιο be given.
Let x7 of type ιιο be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ιο be given.
Let x11 of type ιιο be given.
Let x12 of type ιο be given.
Let x13 of type ι be given.
Let x14 of type ιιο be given.
Let x15 of type ιι be given.
Let x16 of type ι be given.
Let x17 of type ιο be given.
Let x18 of type ιι be given.
Let x19 of type ιι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ιο be given.
Let x24 of type ιο be given.
Let x25 of type ι 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 ι be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ιο be given.
Let x35 of type ιιι be given.
Let x36 of type ιιι be given.
Let x37 of type ιο be given.
Let x38 of type ιο 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 ιο be given.
Let x44 of type ιι be given.
Let x45 of type ιο be given.
Let x46 of type ιο be given.
Let x47 of type ι be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ι be given.
Let x51 of type ιι be given.
Let x52 of type ι be given.
Let x53 of type ι be given.
Let x54 of type ι be given.
Let x55 of type ιο be given.
Let x56 of type ι be given.
Let x57 of type ι be given.
Let x58 of type ι be given.
Let x59 of type ιι be given.
Let x60 of type ιο be given.
Let x61 of type ιο be given.
Let x62 of type ιιο be given.
Let x63 of type ιο be given.
Let x64 of type ι be given.
Let x65 of type ιιιο be given.
Let x66 of type ι be given.
Let x67 of type ιιι be given.
Let x68 of type ιι be given.
Let x69 of type ιιι be given.
Let x70 of type ι be given.
Let x71 of type ι be given.
Let x72 of type ιιο 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 ιιο be given.
Let x77 of type ιο be given.
Assume H5: ∀ x78 x79 . x77 x79x77 x78(x76 x79 x78False)(x75 x78False)(x74 x79False)False.
Assume H6: ∀ x78 x79 x80 . x0 x80x0 x78x1 x79(x3 x79 (x4 x80 x78) = x2 (x3 x79 x80) (x3 x79 x78)False)False.
Assume H7: ∀ x78 x79 . x73 x79(x79 = x78False)x73 x78False.
Assume H8: ∀ x78 x79 . x77 x79x77 x78(x76 x79 x78False)(x74 x79False)(x75 x78False)False.
Assume H9: ∀ x78 x79 . x72 x78 x79x73 x79False.
Assume H10: ∀ x78 x79 . x77 x79x77 x78x76 x79 x78(x73 x79False)(x74 x78False)(x75 x79False)False.
Assume H11: ∀ x78 . x73 x78(x78 = x71False)False.
Assume H12: ∀ x78 x79 x80 . x72 x78 x79x6 x79 (x5 x80)x73 x80False.
Assume H13: ∀ x78 x79 . x77 x79x77 x78x76 x79 x78(x73 x78False)(x75 x79False)(x74 x78False)False.
Assume H14: ∀ x78 x79 x80 . x72 x79 x80x6 x80 (x5 x78)(x6 x79 x78False)False.
Assume H15: ∀ x78 x79 . x77 x79x77 x78x76 x79 x78(x74 x78False)x74 x79False.
Assume H16: ∀ x78 x79 . x7 x79 x78(x6 x79 (x5 x78)False)False.
Assume H17: ∀ x78 x79 . x6 x79 (x5 x78)(x7 x79 x78False)False.
Assume H18: ∀ x78 x79 . x77 x79x77 x78x76 x79 x78(x75 x79False)x75 x78False.
Assume H19: ∀ x78 . x1 x78(x2 x70 x78 = x78False)False.
Assume H20: ∀ x78 x79 . ...(x73 x79False)(x72 x78 x79False)False.
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