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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 ιιι be given.
Let x5 of type ιο be given.
Let x6 of type ιο be given.
Let x7 of type ι be given.
Let x8 of type ιο be given.
Let x9 of type ιι be given.
Let x10 of type ιο be given.
Let x11 of type ι 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 ι be given.
Let x16 of type ι 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 ι be given.
Let x21 of type ιι be given.
Let x22 of type ιο be given.
Let x23 of type ι 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 ιι be given.
Let x28 of type ι be given.
Let x29 of type ιο be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ιιι be given.
Let x33 of type ιιι be given.
Let x34 of type ιι be given.
Let x35 of type ιι be given.
Let x36 of type ιι be given.
Let x37 of type ιιι be given.
Let x38 of type ι be given.
Let x39 of type ιιι be given.
Let x40 of type ιι be given.
Let x41 of type ιο be given.
Let x42 of type ιο be given.
Let x43 of type ιο be given.
Let x44 of type ι 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 ιο be given.
Let x49 of type ιο be given.
Let x50 of type ιιι be given.
Let x51 of type ιιιι be given.
Let x52 of type ιιι be given.
Let x53 of type ιιι be given.
Let x54 of type ιι be given.
Let x55 of type ι be given.
Let x56 of type ιι be given.
Let x57 of type ιιιι be given.
Let x58 of type ιο be given.
Let x59 of type ι be given.
Let x60 of type ι be given.
Let x61 of type ιι be given.
Let x62 of type ι be given.
Let x63 of type ιο be given.
Let x64 of type ιο be given.
Let x65 of type ι be given.
Let x66 of type ιιο 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 ιο be given.
Let x71 of type ι be given.
Let x72 of type ιο be given.
Let x73 of type ιι be given.
Let x74 of type ιι be given.
Let x75 of type ι be given.
Let x76 of type ιο be given.
Let x77 of type ιιιο 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 x82 . x0 x81 x82x0 x80 x82x0 x80 (x4 x82 x81)False.
Assume H13: ∀ x80 x81 . x0 x81 x80(x0 (x4 x80 x81) x80False)False.
Assume H14: ∀ x80 x81 . x2 x80 x81(x79 x81False)(x0 x80 x81False)False.
Assume H15: ∀ x80 x81 . x0 x81 x80(x2 x81 x80False)False.
Assume H16: ∀ x80 . (x3 x80 x80False)False.
Assume H17: ∀ x80 x81 x82 . (x79 x82False)(x79 x80False)x2 x80 (x1 x82)x2 x81 x80(x77 x81 x82 x80False)False.
Assume H18: ∀ x80 x81 x82 . (x79 x82False)(x79 x80False)x2 x80 (x1 x82)x77 x81 x82 x80(x2 x81 x80False)False.
Assume H19: (x76 x75False)False.
Assume H20: (x5 x75False)False.
Assume H21: x79 x75False.
Assume H22: (x6 x7False)False.
Assume H23: x79 x7False.
Assume H24: ∀ x80 . (x8 x80False)(x5 (x9 x80)False)False.
Assume H25: ∀ x80 . (x8 x80False)x8 (x9 x80)False.
Assume H26: ∀ x80 . ...(x2 (x9 x80) ...False)False.
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