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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 ιο be given.
Let x2 of type ιι be given.
Let x3 of type ιιο be given.
Let x4 of type ι be given.
Let x5 of type ιιι be given.
Let x6 of type ιι be given.
Let x7 of type ι be given.
Let x8 of type ιο be given.
Let x9 of type ιο be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ιι be given.
Let x13 of type ιο be given.
Let x14 of type ιιι be given.
Let x15 of type ιιιο be given.
Let x16 of type ιιι be given.
Let x17 of type ιιιι be given.
Let x18 of type ιιι be given.
Let x19 of type ιιιι be given.
Let x20 of type ιιιι be given.
Let x21 of type ιιιι be given.
Let x22 of type ιιιιι be given.
Let x23 of type ιο be given.
Let x24 of type ιι be given.
Let x25 of type ιιο be given.
Let x26 of type ιιο be given.
Let x27 of type ιι be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ιιιι be given.
Let x31 of type ιιιι be given.
Let x32 of type ιιο 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 ι be given.
Let x37 of type ι be given.
Let x38 of type ιι be given.
Let x39 of type ιιο be given.
Let x40 of type ιιιιι be given.
Let x41 of type ιιιιι be given.
Let x42 of type ι be given.
Let x43 of type ιι be given.
Let x44 of type ι be given.
Let x45 of type ιι be given.
Let x46 of type ιο 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 ιι be given.
Let x51 of type ιιο be given.
Let x52 of type ιιι be given.
Let x53 of type ιιο be given.
Let x54 of type ι be given.
Let x55 of type ιο be given.
Let x56 of type ιο be given.
Let x57 of type ιιο be given.
Let x58 of type ιιιι be given.
Let x59 of type ιι be given.
Let x60 of type ιιιι be given.
Let x61 of type ιιο be given.
Let x62 of type ιο be given.
Let x63 of type ιο be given.
Let x64 of type ιο be given.
Assume H5: ∀ x65 x66 . x64 x66(x66 = x65False)x64 x65False.
Assume H6: ∀ x65 x66 . x0 x65 x66x64 x66False.
Assume H7: ∀ x65 x66 x67 . (x63 x67False)x55 x67x62 x67x56 x67x61 x66 x67x57 x66 x67x61 x65 x67x57 x65 x67(x59 (x60 x65 x66 x67) = x58 x67 x66 x65False)False.
Assume H8: ∀ x65 x66 x67 . (x63 x67False)x55 x67x62 x67x56 x67x61 x66 x67x57 x66 x67x61 x65 x67x57 x65 x67(x57 (x60 x65 x66 x67) x67False)False.
Assume H9: ∀ x65 x66 x67 . (x63 x67False)x55 x67x62 x67x56 x67x61 x66 x67x57 x66 x67x61 x65 x67x57 x65 x67(x61 (x60 x65 x66 x67) x67False)False.
Assume H10: ∀ x65 x66 x67 . (x63 x67False)x55 x67x62 x67x56 x67x61 x66 x67x57 x66 x67x61 x65 x67x57 x65 x67(x1 (x60 x65 x66 x67)False)False.
Assume H11: ∀ x65 . x64 x65(x65 = x54False)False.
Assume H12: ∀ x65 x66 x67 . x0 x65 x66x3 x66 (x2 x67)x64 x67False.
Assume H13: ∀ x65 x66 x67 . (x63 x67False)x55 x67x62 x67x56 x67x57 x66 x67x57 x65 x67x53 (x59 x66) (x59 x65)(x57 x66 x65False)False.
Assume H14: ∀ x65 x66 x67 x68 . ...x55 x68x62 x68x56 x68x57 x67 x68x57 x65 x68x57 x66 x68x57 x65 x66(x53 (x58 x68 x67 x65) (x58 x68 x67 x66)False)False.
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