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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 ιιι be given.
Let x7 of type ιιι be given.
Let x8 of type ιιο 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 ιο be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Let x17 of type ιο be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ιο be given.
Let x22 of type ι be given.
Let x23 of type ιο be given.
Let x24 of type ι 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 ιο be given.
Let x29 of type ιιι be given.
Let x30 of type ιι 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 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 ιιι be given.
Let x41 of type ιι be given.
Let x42 of type ιιι be given.
Let x43 of type ιο be given.
Let x44 of type ι be given.
Let x45 of type ιο be given.
Let x46 of type ι be given.
Let x47 of type ι be given.
Let x48 of type ι be given.
Let x49 of type ι be given.
Let x50 of type ι be given.
Let x51 of type ιο 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 ιο be given.
Let x57 of type ι be given.
Let x58 of type ι be given.
Let x59 of type ιιι be given.
Let x60 of type ιο be given.
Let x61 of type ιιιο be given.
Let x62 of type ι be given.
Let x63 of type ιι be given.
Let x64 of type ι be given.
Let x65 of type ιιι be given.
Let x66 of type ιο be given.
Let x67 of type ιιι be given.
Let x68 of type ιι be given.
Let x69 of type ιιι be given.
Let x70 of type ι be given.
Let x71 of type ιιι be given.
Let x72 of type ιο be given.
Let x73 of type ιο be given.
Let x74 of type ιο be given.
Let x75 of type ιιο be given.
Let x76 of type ιο be given.
Assume H5: ∀ x77 x78 . x76 x78x76 x77(x75 x78 x77False)(x74 x77False)(x73 x78False)False.
Assume H6: ∀ x77 x78 . x0 x78(x78 = x77False)x0 x77False.
Assume H7: ∀ x77 x78 . x76 x78x76 x77(x75 x78 x77False)(x73 x78False)(x74 x77False)False.
Assume H8: ∀ x77 x78 . x1 x77 x78x0 x78False.
Assume H9: ∀ x77 x78 . x76 x78x76 x77x75 x78 x77(x0 x78False)(x73 x77False)(x74 x78False)False.
Assume H10: ∀ x77 . x0 x77(x77 = x2False)False.
Assume H11: ∀ x77 . x72 x77(x71 x77 x70 = x77False)False.
Assume H12: ∀ x77 x78 x79 . x1 x77 x78x4 x78 (x3 x79)x0 x79False.
Assume H13: ∀ x77 x78 . x76 x78x76 x77x75 x78 x77(x0 x77False)(x74 x78False)(x73 x77False)False.
Assume H14: ∀ x77 . x72 x77(x71 x5 x77 = x5False)False.
Assume H15: ∀ x77 x78 . x76 x78x66 x77(x75 x78 x5False)(x67 x70 (x69 x78 x77) = x69 x78 (x68 x77)False)False.
Assume H16: ∀ x77 x78 x79 . x76 x79x66 x77x66 x78(x75 x79 x5False)(x6 (x69 x79 x77) (x69 x79 x78) = x69 x79 (x7 x77 x78)False)False.
Assume H17: ∀ x77 x78 x79 . x1 x78 x79x4 x79 (x3 x77)(x4 x78 x77False)False.
Assume H18: ∀ x77 x78 . x76 x78x76 x77x75 x78 x77(x73 x77False)x73 x78False.
Assume H19: ∀ x77 . x72 x77(x65 x77 x5 = x77False)False.
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