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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 ιι be given.
Let x6 of type ιιο be given.
Let x7 of type ιο be given.
Let x8 of type ιι be given.
Let x9 of type ιο be given.
Let x10 of type ιι be given.
Let x11 of type ιιο be given.
Let x12 of type ιιι be given.
Let x13 of type ιο be given.
Let x14 of type ιι be given.
Let x15 of type ιο be given.
Let x16 of type ι be given.
Let x17 of type ιιο be given.
Let x18 of type ιι be given.
Let x19 of type ιο be given.
Let x20 of type ιο be given.
Let x21 of type ιιι be given.
Let x22 of type ι 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 ιιι be given.
Let x29 of type ιο be given.
Let x30 of type ιο be given.
Let x31 of type ιι be given.
Let x32 of type ιο 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 ιιιι be given.
Let x38 of type ιιο be given.
Let x39 of type ιο be given.
Let x40 of type ιο 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 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 ιιι be given.
Let x50 of type ι be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ιο be given.
Let x54 of type ιο be given.
Let x55 of type ιι 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 ιιιι be given.
Let x60 of type ιο be given.
Let x61 of type ιιι be given.
Let x62 of type ιι be given.
Let x63 of type ιι be given.
Let x64 of type ιι be given.
Let x65 of type ιο be given.
Let x66 of type ιο be given.
Let x67 of type ιο be given.
Let x68 of type ι be given.
Let x69 of type ιιο be given.
Let x70 of type ιι be given.
Let x71 of type ιο be given.
Let x72 of type ιιο be given.
Let x73 of type ιι be given.
Let x74 of type ιι be given.
Let x75 of type ιι 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 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: ∀ x80 . (x4 x80 x78 = x80False)False.
Assume H15: x79 x77False.
Assume H16: ∀ x80 . (x3 x80 x80False)False.
Assume H17: ∀ x80 . (x76 x80False)x76 (x75 x80)False.
Assume H18: ∀ x80 . (x76 x80False)(x2 (x75 x80) (x1 x80)False)False.
Assume H19: ∀ x80 . (x79 x80False)(x76 (x74 x80)False)False.
Assume H20: ∀ x80 . (x79 x80False)x79 (x74 x80)False.
Assume H21: ∀ x80 . (x79 x80False)(x2 (x74 x80) (x1 x80)False)False.
Assume H22: ∀ x80 . (x79 x80False)(x6 (x5 x80) x80False)False.
Assume H23: ∀ x80 . (x79 x80False)(x2 (x5 x80) (x1 x80)False)False.
Assume H24: ∀ x80 . (x7 x80False)x9 x80x79 (x8 x80)False.
Assume H25: ∀ x80 . (x7 x80False)x9 x80(x2 (x8 x80) (x1 (x73 x80))False)False.
Assume H26: ∀ x80 . ...False.
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