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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 ιιο be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ιιιο be given.
Let x7 of type ιιιι be given.
Let x8 of type ιο be given.
Let x9 of type ι be given.
Let x10 of type ιιο be given.
Let x11 of type ιι 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 ιι be given.
Let x16 of type ιο 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 ιο be given.
Let x21 of type ι be given.
Let x22 of type ιι be given.
Let x23 of type ιιο be given.
Let x24 of type ι be given.
Let x25 of type ιο be given.
Let x26 of type ι 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 ιι be given.
Let x31 of type ιι be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ιο be given.
Let x35 of type ιι be given.
Let x36 of type ι be given.
Let x37 of type ιιο be given.
Let x38 of type ιιι be given.
Let x39 of type ιιο be given.
Let x40 of type ιο be given.
Let x41 of type ι be given.
Let x42 of type ι be given.
Let x43 of type ι be given.
Let x44 of type ιιο be given.
Let x45 of type ιο be given.
Let x46 of type ιο be given.
Let x47 of type ιιιι be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ιο be given.
Let x51 of type ιιι be given.
Let x52 of type ι be given.
Let x53 of type ι be given.
Let x54 of type ι be given.
Let x55 of type ι be given.
Let x56 of type ι be given.
Let x57 of type ιο be given.
Let x58 of type ιο be given.
Let x59 of type ι be given.
Let x60 of type ιο be given.
Let x61 of type ι be given.
Let x62 of type ιι be given.
Let x63 of type ιι be given.
Let x64 of type ι be given.
Let x65 of type ι be given.
Let x66 of type ιι be given.
Let x67 of type ιι be given.
Let x68 of type ιο be given.
Let x69 of type ι be given.
Let x70 of type ιι be given.
Let x71 of type ιι be given.
Let x72 of type ιιο be given.
Let x73 of type ιι be given.
Let x74 of type ιο be given.
Let x75 of type ιο be given.
Let x76 of type ιο be given.
Let x77 of type ι be given.
Let x78 of type ι be given.
Let x79 of type ιιι be given.
Let x80 of type ι be given.
Let x81 of type ιο be given.
Assume H5: ∀ x82 x83 . x81 x83(x83 = x82False)x81 x82False.
Assume H6: ∀ x82 x83 . x0 x82 x83x81 x83False.
Assume H7: ∀ x82 . x81 x82(x82 = x80False)False.
Assume H8: ∀ x82 x83 x84 . x0 x82 x83x2 x83 (x1 x84)x81 x84False.
Assume H9: ∀ x82 x83 x84 . x0 x83 x84x2 x84 (x1 x82)(x2 x83 x82False)False.
Assume H10: ∀ x82 x83 . x3 x83 x82(x2 x83 (x1 x82)False)False.
Assume H11: ∀ x82 x83 . x2 x83 (x1 x82)(x3 x83 x82False)False.
Assume H12: ∀ x82 x83 . x2 x82 x83(x81 x83False)(x0 x82 x83False)False.
Assume H13: ∀ x82 . (x79 x82 x80 = x80False)False.
Assume H14: ∀ x82 x83 x84 . x3 x83 x84(x3 (x79 x83 x82) (x79 x84 x82)False)False.
Assume H15: ∀ x82 x83 x84 . x3 x83 x84x3 x84 x82(x3 x83 x82False)False.
Assume H16: ∀ x82 x83 . x0 x83 x82(x2 x83 x82False)False.
Assume H17: (x2 x80 x78False)False.
Assume H18: ∀ x82 x83 x84 . x3 x83 x84x3 x83 x82(x3 x83 (x79 x84 x82)False)False.
Assume H19: ∀ x82 x83 . (x3 (x79 x82 x83) x82False)False.
Assume H20: (x2 x5 x4False)False.
Assume H21: (x2 x5 x77False)False.
Assume H22: (x6 x5 x4 x77False)False.
Assume H23: (x76 x5False)False.
Assume H24: x81 x5False.
Assume H25: ∀ x82 . (x3 x82 x82False)False.
Assume H26: ∀ x82 x83 x84 . (x81 x84False)(x81 x82False)x2 x82 (x1 x84)x2 x83 x82(x6 x83 x84 x82False)False.
Assume H27: ....
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