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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 ιι be given.
Let x1 of type ιιι be given.
Let x2 of type ιιι be given.
Let x3 of type ιι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ιιι be given.
Let x7 of type ι be given.
Let x8 of type ιι be given.
Let x9 of type ιι be given.
Let x10 of type ιο be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ιο be given.
Let x14 of type ι be given.
Let x15 of type ιο be given.
Let x16 of type ιι be given.
Let x17 of type ι be given.
Let x18 of type ιι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ιιο be given.
Let x23 of type ιο be given.
Let x24 of type ιο be given.
Let x25 of type ιο be given.
Let x26 of type ιο be given.
Let x27 of type ιιο be given.
Let x28 of type ιι be given.
Let x29 of type ι be given.
Let x30 of type ιιι be given.
Let x31 of type ιο be given.
Let x32 of type ιο be given.
Let x33 of type ιο be given.
Let x34 of type ιι be given.
Let x35 of type ιο be given.
Let x36 of type ιο be given.
Let x37 of type ιο be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ιο be given.
Let x42 of type ιι be given.
Let x43 of type ιο 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 ι be given.
Let x48 of type ιι be given.
Let x49 of type ιο be given.
Let x50 of type ιιο be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ιι be given.
Let x54 of type ιιιο be given.
Let x55 of type ι be given.
Let x56 of type ιι be given.
Let x57 of type ιο be given.
Let x58 of type ιο be given.
Let x59 of type ιιο be given.
Let x60 of type ιο be given.
Let x61 of type ιιο be given.
Let x62 of type ιιο be given.
Let x63 of type ιιι be given.
Let x64 of type ι be given.
Let x65 of type ι be given.
Let x66 of type ιιι be given.
Let x67 of type ιι be given.
Let x68 of type ιιι be given.
Let x69 of type ι be given.
Let x70 of type ιι be given.
Let x71 of type ι be given.
Let x72 of type ιιι be given.
Let x73 of type ιι be given.
Let x74 of type ιιο be given.
Let x75 of type ιο be given.
Let x76 of type ιι be given.
Let x77 of type ιι be given.
Let x78 of type ιιιι be given.
Let x79 of type ιιιι be given.
Let x80 of type ιιιι be given.
Let x81 of type ιο be given.
Assume H5: ∀ x82 x83 x84 x85 . x81 x85x74 x82 (x73 x85)x74 x84 (x73 x85)(x75 x83False)x74 x83 (x76 (x77 x85))(x79 x85 x83 (x80 x85 x82 x84) = x78 x83 (x79 x85 x83 x82) (x79 x85 x83 x84)False)False.
Assume H6: ∀ x82 x83 . x81 x83x74 x82 (x73 x83)(x1 x83 x82 = x79 x83 (x0 x83) x82False)False.
Assume H7: ∀ x82 . x81 x82(x0 x82 = x72 (x70 x71) x69False)False.
Assume H8: ∀ x82 . x81 x82(x77 x82 = x2 (x72 (x70 x71) x69) (x72 (x6 x5 x4) (x3 x82))False)False.
Assume H9: ∀ x82 x83 x84 . x81 x84x74 x82 (x73 x84)x74 x83 (x73 x84)(x80 x84 x82 x83 = x68 (x68 (x67 (x66 x65 x64)) (x63 x84 x82)) (x63 x84 x83)False)False.
Assume H10: ∀ x82 x83 . x75 x83(x83 = x82False)x75 x82False.
Assume H11: ∀ x82 x83 . x62 x82 x83x75 x83False.
Assume H12: ∀ x82 . x75 x82(x82 = x7False)False.
Assume H13: ∀ x82 x83 . x61 x83 x82(x74 x83 (x76 x82)False)False.
Assume H14: ∀ x82 x83 . x74 x83 (x76 x82)(x61 x83 x82False)False.
Assume H15: ∀ x82 x83 . x74 x82 x83(x75 x83False)(x62 x82 x83False)False.
Assume H16: ∀ x82 . (x75 (x8 x82)False)False.
Assume H17: ∀ x82 . (x74 (x8 x82) (x76 x82)False)False.
Assume H18: ∀ x82 . (x75 x82False)x75 (x9 x82)False.
Assume H19: ∀ x82 . (...False)(x74 (x9 x82) (x76 x82)False)False.
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