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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 ιιο 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 ι be given.
Let x11 of type ιιι be given.
Let x12 of type ι be given.
Let x13 of type ιο be given.
Let x14 of type ιο 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 ι be given.
Let x19 of type ιιι be given.
Let x20 of type ι be given.
Let x21 of type ιο be given.
Let x22 of type ιο be given.
Let x23 of type ιι be given.
Let x24 of type ι be given.
Let x25 of type ιιι be given.
Let x26 of type ιιο be given.
Let x27 of type ι be given.
Let x28 of type ιο 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 ι be given.
Let x35 of type ιο be given.
Let x36 of type ιιι be given.
Let x37 of type ι be given.
Let x38 of type ιι be given.
Let x39 of type ιι be given.
Let x40 of type ιο be given.
Let x41 of type ιο be given.
Let x42 of type ιο be given.
Let x43 of type ιι be given.
Let x44 of type ιιο be given.
Let x45 of type ι be given.
Let x46 of type ι be given.
Let x47 of type ιιι be given.
Let x48 of type ι be given.
Let x49 of type ιο be given.
Let x50 of type ιιι be given.
Let x51 of type ι be given.
Let x52 of type ιο be given.
Let x53 of type ιο be given.
Let x54 of type ιι be given.
Let x55 of type ιι be given.
Let x56 of type ιι be given.
Let x57 of type ιιιιο be given.
Let x58 of type ιιο be given.
Let x59 of type ιιι be given.
Let x60 of type ιιι be given.
Let x61 of type ιιιιο be given.
Let x62 of type ιο be given.
Let x63 of type ιο be given.
Let x64 of type ιιιο be given.
Let x65 of type ιιο be given.
Let x66 of type ιιιιιο be given.
Let x67 of type ιιι be given.
Let x68 of type ιιιιι be given.
Let x69 of type ιιι be given.
Let x70 of type ιιο be given.
Let x71 of type ιι be given.
Let x72 of type ιιι be given.
Let x73 of type ιιο be given.
Let x74 of type ιιιο be given.
Let x75 of type ιι be given.
Let x76 of type ιο be given.
Let x77 of type ιο be given.
Let x78 of type ιο be given.
Assume H5: ∀ x79 x80 . x78 x80(x80 = x79False)x78 x79False.
Assume H6: ∀ x79 x80 . x0 x79 x80x78 x80False.
Assume H7: ∀ x79 x80 . (x77 x80False)x62 x80x76 x80x63 x79x74 x79 (x75 x80) (x75 x80)x64 x79 (x75 x80) (x75 x80)x73 x79 (x71 (x72 (x75 x80) (x75 x80)))x65 x79 x80x66 x80 (x67 x79 x80) (x68 (x75 x80) (x75 x80) x79 (x67 x79 x80)) (x69 x79 x80) (x68 (x75 x80) (x75 x80) x79 (x69 x79 x80))(x70 x79 x80False)False.
Assume H8: ∀ x79 x80 . (x77 x80False)x62 x80x76 x80x63 x79x74 x79 (x75 x80) (x75 x80)x64 x79 (x75 x80) (x75 x80)x73 x79 (x71 (x72 (x75 x80) (x75 x80)))x65 x79 x80(x73 (x69 x79 x80) (x75 x80)False)(x70 x79 x80False)False.
Assume H9: ∀ x79 x80 . (x77 x80False)x62 x80x76 x80x63 x79x74 x79 (x75 x80) (x75 x80)x64 x79 (x75 x80) (x75 x80)x73 x79 (x71 (x72 (x75 x80) (x75 x80)))x65 x79 x80(x73 (x67 x79 x80) (x75 x80)False)(x70 x79 x80False)False.
Assume H10: ∀ x79 x80 x81 x82 . ..................x73 x79 (x71 ...)x65 x79 x82x70 x79 x82x73 x80 (x75 x82)x73 x81 (x75 x82)(x66 x82 x80 (x68 (x75 x82) (x75 x82) x79 x80) x81 (x68 (x75 x82) (x75 x82) x79 x81)False)False.
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