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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 ιο be given.
Let x2 of type ιιο be given.
Let x3 of type ιι be given.
Let x4 of type ιι 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 ιιι be given.
Let x9 of type ιιι be given.
Let x10 of type ιιο 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 ιι be given.
Let x18 of type ιο be given.
Let x19 of type ι be given.
Let x20 of type ιι be given.
Let x21 of type ιο be given.
Let x22 of type ι be given.
Let x23 of type ιι be given.
Let x24 of type ιιο be given.
Let x25 of type ιι be given.
Let x26 of type ιι be given.
Let x27 of type ιο be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ιο be given.
Let x31 of type ι be given.
Let x32 of type ιι be given.
Let x33 of type ιο be given.
Let x34 of type ιι be given.
Let x35 of type ι be given.
Let x36 of type ι 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 ιο be given.
Let x41 of type ιο be given.
Let x42 of type ιιι be given.
Let x43 of type ι be given.
Let x44 of type ιο be given.
Let x45 of type ι be given.
Let x46 of type ι be given.
Let x47 of type ιο be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ιι be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ι be given.
Let x54 of type ιι be given.
Let x55 of type ιιο be given.
Let x56 of type ιι be given.
Let x57 of type ι be given.
Let x58 of type ιο be given.
Let x59 of type ι be given.
Let x60 of type ιι be given.
Let x61 of type ι be given.
Let x62 of type ιο be given.
Let x63 of type ιο be given.
Let x64 of type ι be given.
Let x65 of type ιο be given.
Let x66 of type ιιι be given.
Let x67 of type ι be given.
Let x68 of type ιο be given.
Assume H5: ∀ x69 x70 . x68 x70(x70 = x69False)x68 x69False.
Assume H6: ∀ x69 x70 . x0 x69 x70x68 x70False.
Assume H7: ∀ x69 . x68 x69(x69 = x67False)False.
Assume H8: ∀ x69 x70 . x1 x70x2 x69 (x4 (x4 (x3 x70)))x6 x69 (x5 x70)(x7 x69 x70False)False.
Assume H9: ∀ x69 x70 . x1 x70x2 x69 (x4 (x4 (x3 x70)))x7 x69 x70(x6 x69 (x5 x70)False)False.
Assume H10: ∀ x69 x70 x71 . x0 x69 x70x2 x70 (x4 x71)x68 x71False.
Assume H11: ∀ x69 x70 x71 . x0 x70 x71x2 x71 (x4 x69)(x2 x70 x69False)False.
Assume H12: ∀ x69 x70 . x2 x69 (x4 (x4 x70))(x6 x69 (x8 x70 x69)False)False.
Assume H13: ∀ x69 x70 . x6 x70 x69(x2 x70 (x4 x69)False)False.
Assume H14: ∀ x69 x70 . x2 x70 (x4 x69)(x6 x70 x69False)False.
Assume H15: ∀ x69 x70 . x2 x69 x70(x68 x70False)(x0 x69 x70False)False.
Assume H16: ∀ x69 x70 x71 . x6 x70 x71x6 x71 x69(x6 x70 x69False)False.
Assume H17: ∀ x69 x70 . x0 x70 x69(x2 x70 x69False)False.
Assume H18: ∀ x69 x70 . x2 x69 (x4 (x4 x70))(x6 x69 (x9 x70 x69)False)False.
Assume H19: ∀ x69 x70 . (x68 x70False)x2 x69 (x4 (x4 x70))(x2 x69 (x4 (x4 (x3 (x66 x70 (x9 x70 x69)))))False)False.
Assume H20: ∀ x69 x70 . (x68 x70False)x2 x69 (x4 (x4 x70))(x10 x69 (x66 x70 (x9 x70 x69))False)False.
Assume H21: ∀ x69 x70 . ......(x7 x69 (x66 ... ...)False)False.
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