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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 ιο be given.
Let x1 of type ιιο be given.
Let x2 of type ι be given.
Let x3 of type ιι be given.
Let x4 of type ιιο be given.
Let x5 of type ι be given.
Let x6 of type ιιο be given.
Let x7 of type ιιι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ι be given.
Let x11 of type ιιι be given.
Let x12 of type ιιι be given.
Let x13 of type ιιο be given.
Let x14 of type ιιο be given.
Let x15 of type ιο be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι 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 ιο be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ιιι be given.
Let x26 of type ιιιο be given.
Let x27 of type ιιι be given.
Let x28 of type ιι be given.
Let x29 of type ιο be given.
Let x30 of type ιο be given.
Let x31 of type ιο be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ι be given.
Let x35 of type ι be given.
Let x36 of type ιο be given.
Let x37 of type ιιι be given.
Let x38 of type ιιι be given.
Let x39 of type ιιι be given.
Let x40 of type ιιο be given.
Let x41 of type ιιι be given.
Let x42 of type ι 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 ι be given.
Let x48 of type ιο be given.
Let x49 of type ι be given.
Let x50 of type ι be given.
Let x51 of type ι be given.
Let x52 of type ιιο be given.
Let x53 of type ιι be given.
Let x54 of type ιο 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 ιι be given.
Let x59 of type ιο be given.
Let x60 of type ιιιιιι be given.
Let x61 of type ιιιι be given.
Let x62 of type ιιι be given.
Let x63 of type ιο be given.
Let x64 of type ιιι be given.
Let x65 of type ιο be given.
Let x66 of type ιιιο be given.
Let x67 of type ι be given.
Let x68 of type ι be given.
Let x69 of type ιι be given.
Let x70 of type ι be given.
Let x71 of type ιιι be given.
Let x72 of type ιιι be given.
Let x73 of type ι be given.
Let x74 of type ιιι be given.
Let x75 of type ιο be given.
Let x76 of type ιο be given.
Let x77 of type ιο be given.
Let x78 of type ιιο be given.
Let x79 of type ιο be given.
Assume H5: ∀ x80 x81 . x79 x81x79 x80(x78 x81 x80False)(x77 x80False)(x76 x81False)False.
Assume H6: ∀ x80 x81 . x0 x81(x81 = x80False)x0 x80False.
Assume H7: ∀ x80 x81 . x79 x81x79 x80(x78 x81 x80False)(x76 x81False)(x77 x80False)False.
Assume H8: ∀ x80 x81 . x1 x80 x81x0 x81False.
Assume H9: ∀ x80 x81 . x79 x81x79 x80x78 x81 x80(x0 x81False)(x76 x80False)(x77 x81False)False.
Assume H10: ∀ x80 . x0 x80(x80 = x2False)False.
Assume H11: ∀ x80 . x75 x80(x74 x80 x73 = x80False)False.
Assume H12: ∀ x80 x81 x82 . x1 x80 x81x4 x81 (x3 x82)x0 x82False.
Assume H13: ∀ x80 x81 . x79 x81x79 x80x78 x81 x80(x0 x80False)(x77 x81False)(x76 x80False)False.
Assume H14: ∀ x80 . x75 x80(x74 x5 x80 = x5False)False.
Assume H15: ∀ x80 x81 x82 . x1 x81 x82x4 x82 (x3 x80)(x4 x81 x80False)False.
Assume H16: ∀ x80 x81 . x79 x81x79 x80x78 x81 x80(x76 x80False)x76 x81False.
Assume H17: ∀ x80 . x75 x80(x72 x80 x5 = x80False)False.
Assume H18: ∀ x80 x81 . x6 x81 x80(x4 x81 (x3 x80)False)False.
Assume H19: ∀ x80 x81 . x4 x81 (x3 x80)(x6 x81 x80False)False.
Assume H20: ∀ x80 x81 . x79 x81x79 x80x78 x81 x80(x77 x81False)x77 x80False.
Assume H21: ∀ x80 . x75 x80(x71 x73 x80 = x80False)False.
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