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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 ι be given.
Let x3 of type ιιι be given.
Let x4 of type ιιο be given.
Let x5 of type ιο be given.
Let x6 of type ιο be given.
Let x7 of type ιι be given.
Let x8 of type ιο be given.
Let x9 of type ιιι be given.
Let x10 of type ι be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ιι 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 ιι be given.
Let x19 of type ι be given.
Let x20 of type ιιι be given.
Let x21 of type ι 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 ιιο be given.
Let x27 of type ιιο be given.
Let x28 of type ι be given.
Let x29 of type ιο be given.
Let x30 of type ιο be given.
Let x31 of type ι be given.
Let x32 of type ιιι be given.
Let x33 of type ιιι be given.
Let x34 of type ιι be given.
Let x35 of type ιι be given.
Let x36 of type ιο be given.
Let x37 of type ιο be given.
Let x38 of type ιο be given.
Let x39 of type ιι be given.
Let x40 of type ιιο be given.
Let x41 of type ι be given.
Let x42 of type ιο be given.
Let x43 of type ιιο be given.
Let x44 of type ιιι be given.
Let x45 of type ι be given.
Let x46 of type ιο be given.
Let x47 of type ιι be given.
Let x48 of type ιι be given.
Let x49 of type ιιιιο be given.
Let x50 of type ιιο be given.
Let x51 of type ιιι be given.
Let x52 of type ιιι be given.
Let x53 of type ιιιιο be given.
Let x54 of type ιο be given.
Let x55 of type ιο be given.
Let x56 of type ιιιο be given.
Let x57 of type ιιο be given.
Let x58 of type ιιιιιο be given.
Let x59 of type ιιι be given.
Let x60 of type ιιιιι be given.
Let x61 of type ιιι be given.
Let x62 of type ιιο be given.
Let x63 of type ιι be given.
Let x64 of type ιιι be given.
Let x65 of type ιιο be given.
Let x66 of type ιιιο be given.
Let x67 of type ιι be given.
Let x68 of type ιο be given.
Let x69 of type ιο be given.
Let x70 of type ιο be given.
Assume H5: ∀ x71 x72 . x70 x72(x72 = x71False)x70 x71False.
Assume H6: ∀ x71 x72 . x0 x71 x72x70 x72False.
Assume H7: ∀ x71 x72 . (x69 x72False)x54 x72x68 x72x55 x71x66 x71 (x67 x72) (x67 x72)x56 x71 (x67 x72) (x67 x72)x65 x71 (x63 (x64 (x67 x72) (x67 x72)))x57 x71 x72x58 x72 (x59 x71 x72) (x60 (x67 x72) (x67 x72) x71 (x59 x71 x72)) (x61 x71 x72) (x60 (x67 x72) (x67 x72) x71 (x61 x71 x72))(x62 x71 x72False)False.
Assume H8: ∀ x71 x72 . (x69 x72False)x54 x72x68 x72x55 x71x66 x71 (x67 x72) (x67 x72)x56 x71 (x67 x72) (x67 x72)x65 x71 (x63 (x64 (x67 x72) (x67 x72)))x57 x71 x72(x65 (x61 x71 x72) (x67 x72)False)(x62 x71 x72False)False.
Assume H9: ∀ x71 x72 . (x69 x72False)x54 x72x68 x72x55 x71x66 x71 (x67 x72) (x67 x72)x56 x71 (x67 x72) (x67 x72)x65 x71 (x63 (x64 (x67 x72) (x67 x72)))x57 x71 x72(x65 (x59 x71 x72) (x67 x72)False)(x62 x71 x72False)False.
Assume H10: ∀ x71 x72 x73 x74 . ..................x65 x71 (x63 (x64 (x67 x74) (x67 ...)))x57 x71 x74x62 x71 x74x65 x72 (x67 x74)x65 x73 (x67 x74)(x58 x74 x72 (x60 (x67 x74) (x67 x74) x71 x72) x73 (x60 (x67 x74) (x67 x74) x71 x73)False)False.
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