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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 ι be given.
Let x5 of type ιιιο be given.
Let x6 of type ιο be given.
Let x7 of type ιο be given.
Let x8 of type ιι be given.
Let x9 of type ιιο be given.
Let x10 of type ιι be given.
Let x11 of type ιο be given.
Let x12 of type ι be given.
Let x13 of type ιι be given.
Let x14 of type ι be given.
Let x15 of type ι be given.
Let x16 of type ιι be given.
Let x17 of type ιιι be given.
Let x18 of type ιο be given.
Let x19 of type ιο 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 ιι be given.
Let x24 of type ιο be given.
Let x25 of type ιο be given.
Let x26 of type ιο be given.
Let x27 of type ιο be given.
Let x28 of type ιο be given.
Let x29 of type ιο 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 ιιιι be given.
Let x34 of type ιιι be given.
Let x35 of type ιο be given.
Let x36 of type ι be given.
Let x37 of type ιο be given.
Let x38 of type ιο be given.
Let x39 of type ιιι be given.
Let x40 of type ιο be given.
Let x41 of type ι be given.
Let x42 of type ιο be given.
Let x43 of type ι be given.
Let x44 of type ιιο be given.
Let x45 of type ι be given.
Let x46 of type ιο 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 ιο be given.
Let x51 of type ιο be given.
Let x52 of type ι be given.
Let x53 of type ιιιι be given.
Let x54 of type ιιο be given.
Let x55 of type ι be given.
Let x56 of type ι be given.
Let x57 of type ιιι be given.
Let x58 of type ι be given.
Let x59 of type ιιιο be given.
Let x60 of type ιιιι be given.
Let x61 of type ιιο be given.
Let x62 of type ιιι 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 x68 . x0 x67 x68x2 x68 (x1 x66)(x2 x67 x66False)False.
Assume H10: ∀ x66 x67 . x3 x67 x66(x2 x67 (x1 x66)False)False.
Assume H11: ∀ x66 x67 . x2 x67 (x1 x66)(x3 x67 x66False)False.
Assume H12: ∀ x66 x67 . x2 x66 x67(x65 x67False)(x0 x66 x67False)False.
Assume H13: ∀ x66 x67 . x0 x67 x66(x2 x67 x66False)False.
Assume H14: (x2 x64 x4False)False.
Assume H15: ∀ x66 x67 x68 x69 . (x65 x69False)x54 x66 (x57 x56 x55)x63 x66x59 x66 x69 x58x2 x66 (x1 (x62 x69 x58))x54 x67 (x57 x56 x55)x63 x67x59 x67 x69 x58x2 x67 (x1 (x62 x69 x58))x54 x68 (x57 x56 x55)x63 x68x59 x68 x69 x58x2 x68 (x1 (x62 x69 x58))x61 x66 x67x61 x68 x67(x61 (x60 x69 x66 x68) x67False)False.
Assume H16: ∀ x66 x67 x68 . (x65 x68False)x54 x66 (x57 x56 x55)x63 x66x59 x66 x68 x58x2 x66 (x1 (x62 x68 x58))x54 x67 (x57 x56 x55)x63 x67x59 x67 x68 x58x2 x67 (x1 (x62 x68 x58))(x61 x66 (x60 x68 x66 x67)False)False.
Assume H17: ∀ x66 x67 x68 . ..............................False.
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