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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 ιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιι be given.
Let x6 of type ιο be given.
Let x7 of type ιο be given.
Let x8 of type ιο be given.
Let x9 of type ιι be given.
Let x10 of type ιι be given.
Let x11 of type ιιο be given.
Let x12 of type ιι be given.
Let x13 of type ιιο be given.
Let x14 of type ιι be given.
Let x15 of type ιι be given.
Let x16 of type ιο be given.
Let x17 of type ιο be given.
Let x18 of type ιιο be given.
Let x19 of type ιι be given.
Let x20 of type ιι 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 ι be given.
Let x25 of type ιιι be given.
Let x26 of type ιιι be given.
Let x27 of type ιιο be given.
Let x28 of type ι be given.
Let x29 of type ι be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ι be given.
Let x33 of type ιιι 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 ιι be given.
Let x38 of type ιι be given.
Let x39 of type ιιο be given.
Let x40 of type ιο be given.
Let x41 of type ι be given.
Let x42 of type ιιι be given.
Let x43 of type ιιιο be given.
Let x44 of type ιιιι be given.
Let x45 of type ιιιιι be given.
Let x46 of type ιο be given.
Let x47 of type ι be given.
Let x48 of type ιιο be given.
Let x49 of type ιιι be given.
Let x50 of type ιι be given.
Let x51 of type ιο be given.
Let x52 of type ιο be given.
Let x53 of type ιο be given.
Let x54 of type ιιο be given.
Let x55 of type ιιιι be given.
Let x56 of type ιιι be given.
Let x57 of type ιιι be given.
Let x58 of type ιιι be given.
Let x59 of type ιιο be given.
Let x60 of type ιο be given.
Let x61 of type ιο be given.
Let x62 of type ιο be given.
Let x63 of type ιο be given.
Let x64 of type ι be given.
Let x65 of type ιο be given.
Assume H5: ∀ x66 x67 . x65 x67(x67 = x66False)x65 x66False.
Assume H6: ∀ x66 x67 . x0 x66 x67x65 x67False.
Assume H7: ∀ x66 . x65 x66(x66 = x64False)False.
Assume H8: ∀ x66 x67 x68 . x0 x66 x67x2 x67 (x1 x68)x65 x68False.
Assume H9: ∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67x0 (x55 x67 (x55 x67 (x58 x66 x67) (x57 x66 x67)) (x55 x67 (x56 x66 x67) (x57 x66 x67))) x66(x59 x66 x67False)False.
Assume H10: ∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x0 (x55 x67 (x55 x67 (x58 x66 x67) (x56 x66 x67)) (x57 x66 x67)) x66False)(x59 x66 x67False)False.
Assume H11: ∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x2 (x57 x66 x67) (x50 x67)False)(x59 x66 x67False)False.
Assume H12: ∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x2 (x56 x66 x67) (x50 x67)False)(x59 x66 x67False)False.
Assume H13: ∀ x66 x67 . (x63 x67False)x51 x67x62 x67x52 x67x61 x67x53 x67x60 x67x54 x66 x67(x2 (x58 x66 x67) (x50 x67)False)(x59 x66 x67False)False.
Assume H14: ....
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