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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 ι be given.
Let x4 of type ιιι be given.
Let x5 of type ιιο be given.
Let x6 of type ιο be given.
Let x7 of type ιο be given.
Let x8 of type ιι be given.
Let x9 of type ιο be given.
Let x10 of type ιιι be given.
Let x11 of type ι be given.
Let x12 of type ιο be given.
Let x13 of type ιι be given.
Let x14 of type ιι be given.
Let x15 of type ιιι be given.
Let x16 of type ιιι be given.
Let x17 of type ι be given.
Let x18 of type ιο be given.
Let x19 of type ιο be given.
Let x20 of type ι be given.
Let x21 of type ιιο be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ι be given.
Let x27 of type ιιο be given.
Let x28 of type ι be given.
Let x29 of type ιι be given.
Let x30 of type ιιι be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ιο be given.
Let x34 of type ιιο be given.
Let x35 of type ιι be given.
Let x36 of type ι be given.
Let x37 of type ιο be given.
Let x38 of type ιιο be given.
Let x39 of type ιιι be given.
Let x40 of type ι be given.
Let x41 of type ιο be given.
Let x42 of type ιιιι be given.
Let x43 of type ιιο be given.
Let x44 of type ιο be given.
Let x45 of type ιι be given.
Let x46 of type ιιιο be given.
Let x47 of type ιιι be given.
Let x48 of type ιιιιι be given.
Let x49 of type ιιιιο be given.
Let x50 of type ιιιιο be given.
Let x51 of type ιιο be given.
Let x52 of type ιιιο be given.
Let x53 of type ιο be given.
Let x54 of type ιο be given.
Let x55 of type ιο be given.
Let x56 of type ι be given.
Let x57 of type ιο be given.
Assume H5: ∀ x58 x59 . x57 x59(x59 = x58False)x57 x58False.
Assume H6: ∀ x58 x59 . x0 x58 x59x57 x59False.
Assume H7: ∀ x58 . x57 x58(x58 = x56False)False.
Assume H8: ∀ x58 x59 x60 . x0 x58 x59x2 x59 (x1 x60)x57 x60False.
Assume H9: ∀ x58 x59 x60 x61 x62 . (x55 x62False)x44 x62x54 x62x2 x58 (x45 x62)x2 x61 (x45 x62)x2 x59 (x45 x62)x53 x60x46 x60 (x45 x62) (x45 x62)x52 x60 (x45 x62) (x45 x62)x2 x60 (x1 (x47 (x45 x62) (x45 x62)))x51 x60 x62x48 (x45 x62) (x45 x62) x60 x58 = x58x50 x62 x61 x58 (x48 (x45 x62) (x45 x62) x60 x61)(x49 x62 x58 x61 x59False)(x50 x62 x59 x58 (x48 (x45 x62) (x45 x62) x60 x59)False)False.
Assume H10: ∀ x58 x59 x60 . x0 x59 x60x2 x60 (x1 x58)(x2 x59 x58False)False.
Assume H11: ∀ x58 x59 . x43 x59 x58(x2 x59 (x1 x58)False)False.
Assume H12: ∀ x58 x59 . x2 x59 (x1 x58)(x43 x59 x58False)False.
Assume H13: ∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x58 = x59False)x49 x60 x58 x59 (x42 x59 x58 x60)False.
Assume H14: ∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x58 = x59False)(x2 (x42 x59 x58 x60) (x45 x60)False)False.
Assume H15: ∀ x58 x59 x60 x61 x62 x63 . ....................................(x49 x63 x59 x61 x60False)False.
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