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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 ιο be given.
Let x2 of type ιιι be given.
Let x3 of type ιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιιι be given.
Let x6 of type ι be given.
Let x7 of type ιιι be given.
Let x8 of type ι be given.
Let x9 of type ιιι be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ι be given.
Let x13 of type ιιιο be given.
Let x14 of type ιο be given.
Let x15 of type ιιι be given.
Let x16 of type ι be given.
Let x17 of type ι 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 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 ι be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ιιι be given.
Let x31 of type ιο 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 ι be given.
Let x36 of type ι be given.
Let x37 of type ι be given.
Let x38 of type ιο be given.
Let x39 of type ιο 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 ι 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 ι be given.
Let x49 of type ιο 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 ι be given.
Let x55 of type ι be given.
Let x56 of type ι be given.
Let x57 of type ι be given.
Let x58 of type ι be given.
Let x59 of type ι be given.
Let x60 of type ιιο be given.
Let x61 of type ι be given.
Let x62 of type ιιο be given.
Let x63 of type ιι be given.
Let x64 of type ι be given.
Let x65 of type ιιο be given.
Let x66 of type ιο be given.
Let x67 of type ιο be given.
Let x68 of type ιο be given.
Let x69 of type ιιο be given.
Let x70 of type ιο be given.
Assume H5: ∀ x71 x72 . x70 x72x70 x71(x69 x72 x71False)(x68 x71False)(x67 x72False)False.
Assume H6: ∀ x71 x72 x73 . x0 x73x0 x71x1 x72(x3 x72 (x4 x73 x71) = x2 (x3 x72 x73) (x3 x72 x71)False)False.
Assume H7: ∀ x71 x72 . x66 x72(x72 = x71False)x66 x71False.
Assume H8: ∀ x71 x72 . x70 x72x70 x71(x69 x72 x71False)(x67 x72False)(x68 x71False)False.
Assume H9: ∀ x71 x72 . x65 x71 x72x66 x72False.
Assume H10: ∀ x71 x72 . x70 x72x70 x71x69 x72 x71(x66 x72False)(x67 x71False)(x68 x72False)False.
Assume H11: ∀ x71 . x66 x71(x71 = x64False)False.
Assume H12: ∀ x71 . x1 x71(x5 x71 x6 = x71False)False.
Assume H13: ∀ x71 x72 x73 . x65 x71 x72x62 x72 (x63 x73)x66 x73False.
Assume H14: ∀ x71 x72 . x70 x72x70 x71x69 x72 x71(x66 x71False)(x68 x72False)(x67 x71False)False.
Assume H15: ∀ x71 . x1 x71(x5 x61 x71 = x61False)False.
Assume H16: ∀ x71 x72 x73 . x65 x72 x73x62 x73 (x63 x71)(x62 x72 x71False)False.
Assume H17: ∀ x71 x72 . x70 x72x70 x71x69 x72 x71(x67 x71False)x67 x72False.
Assume H18: ∀ x71 . x1 x71(x7 x71 x61 = x71False)False.
Assume H19: ∀ x71 x72 . x60 x72 x71(x62 x72 (x63 x71)False)False.
Assume H20: ∀ x71 x72 . x62 x72 (x63 x71)(x60 x72 x71False)False.
Assume H21: ∀ x71 x72 . .........(x68 x72False)x68 x71False.
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