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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 ιο be given.
Let x7 of type ιο be given.
Let x8 of type ιι be given.
Let x9 of type ιιιι be given.
Let x10 of type ιιιι be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ι be given.
Let x14 of type ιο 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 ιιο be given.
Let x19 of type ιιι be given.
Let x20 of type ιο be given.
Let x21 of type ιιι be given.
Let x22 of type ιο be given.
Let x23 of type ιι be given.
Let x24 of type ιο be given.
Let x25 of type ι be given.
Let x26 of type ιο be given.
Let x27 of type ι be given.
Let x28 of type ιι be given.
Let x29 of type ιο be given.
Let x30 of type ιιιιι be given.
Let x31 of type ιιιιιι be given.
Let x32 of type ιο be given.
Let x33 of type ιο be given.
Let x34 of type ιο 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 ιο be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ι be given.
Let x43 of type ιο be given.
Let x44 of type ιο be given.
Let x45 of type ιιο be given.
Let x46 of type ιιιι be given.
Let x47 of type ιιιιιι be given.
Let x48 of type ιιιο be given.
Let x49 of type ιο be given.
Let x50 of type ιιιι be given.
Let x51 of type ιο be given.
Let x52 of type ιο be given.
Let x53 of type ιο be given.
Let x54 of type ιο be given.
Let x55 of type ιιιιι be given.
Let x56 of type ιο be given.
Let x57 of type ιο be given.
Let x58 of type ιο be given.
Let x59 of type ιιιο be given.
Let x60 of type ι be given.
Let x61 of type ι be given.
Let x62 of type ι be given.
Let x63 of type ιιι be given.
Let x64 of type ιο be given.
Let x65 of type ιο be given.
Let x66 of type ι be given.
Let x67 of type ιιο be given.
Let x68 of type ιο be given.
Let x69 of type ι be given.
Let x70 of type ι be given.
Let x71 of type ιο be given.
Let x72 of type ιο be given.
Let x73 of type ιι be given.
Let x74 of type ιο be given.
Let x75 of type ιιιο be given.
Let x76 of type ι be given.
Let x77 of type ι be given.
Let x78 of type ι be given.
Let x79 of type ιο be given.
Assume H5: ∀ x80 x81 . x79 x81(x81 = x80False)x79 x80False.
Assume H6: ∀ x80 x81 . x0 x80 x81x79 x81False.
Assume H7: ∀ x80 . x79 x80(x80 = x78False)False.
Assume H8: ∀ x80 x81 x82 . x0 x80 x81x2 x81 (x1 x82)x79 x82False.
Assume H9: ∀ x80 x81 x82 . x0 x81 x82x2 x82 (x1 x80)(x2 x81 x80False)False.
Assume H10: ∀ x80 x81 . x3 x81 x80(x2 x81 (x1 x80)False)False.
Assume H11: ∀ x80 x81 . x2 x81 (x1 x80)(x3 x81 x80False)False.
Assume H12: ∀ x80 x81 . x2 x80 x81(x79 x81False)(x0 x80 x81False)False.
Assume H13: ∀ x80 x81 . x0 x81 x80(x2 x81 x80False)False.
Assume H14: (x2 x78 x4False)False.
Assume H15: (x2 x76 x77False)False.
Assume H16: (x2 x76 x5False)False.
Assume H17: (x75 x76 x77 x5False)False.
Assume H18: (x6 x76False)False.
Assume H19: x79 x76False.
Assume H20: ∀ x80 . (x3 x80 x80False)False.
Assume H21: ∀ x80 x81 x82 . (x79 x82False)(x79 x80False)x2 x80 (x1 x82)x2 x81 x80(x75 x81 x82 x80False)False.
Assume H22: ∀ x80 x81 x82 . (x79 x82False)(x79 x80False)x2 x80 (x1 x82)x75 x81 x82 x80(x2 x81 x80False)False.
Assume H23: (x5 = x4False)False.
Assume H24: ∀ x80 x81 x82 . x7 x82x11 x82x2 x81 (x8 x82)x2 x80 (x8 x82)(x10 x82 x81 x80 = x9 x82 x81 x80False)False.
Assume H25: ∀ x80 . (x74 ...False)x72 x80x79 (x73 x80)False.
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