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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 ιιι be given.
Let x1 of type ιιι be given.
Let x2 of type ιιο be given.
Let x3 of type ι be given.
Let x4 of type ιο 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 ι be given.
Let x9 of type ιιι be given.
Let x10 of type ιο be given.
Let x11 of type ι be given.
Let x12 of type ι 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 ι be given.
Let x18 of type ι be given.
Let x19 of type ιο be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ιιι be given.
Let x23 of type ιιι be given.
Let x24 of type ιιι be given.
Let x25 of type ιιιι be given.
Let x26 of type ιιι be given.
Let x27 of type ιιι be given.
Let x28 of type ιιι be given.
Let x29 of type ιιιι be given.
Let x30 of type ιιιι be given.
Let x31 of type ιο be given.
Let x32 of type ι be given.
Let x33 of type ι be given.
Let x34 of type ι be given.
Let x35 of type ιι be given.
Let x36 of type ιι be given.
Let x37 of type ιο be given.
Let x38 of type ιι be given.
Let x39 of type ιιι 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 ι be given.
Let x44 of type ιο 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 ιιι be given.
Let x49 of type ι be given.
Let x50 of type ιιο be given.
Let x51 of type ιο be given.
Let x52 of type ιιο be given.
Let x53 of type ιιο be given.
Let x54 of type ιιο be given.
Let x55 of type ιι be given.
Let x56 of type ιο be given.
Assume H5: ∀ x57 x58 . x56 x58(x58 = x57False)x56 x57False.
Assume H6: ∀ x57 x58 x59 x60 . x2 (x1 x60 x59) (x0 x58 x57)(x2 (x1 x59 x60) (x0 x57 x58)False)False.
Assume H7: ∀ x57 x58 . x2 x57 x58x56 x58False.
Assume H8: ∀ x57 . x56 x57(x57 = x3False)False.
Assume H9: ∀ x57 x58 x59 . x2 x57 x58x54 x58 (x55 x59)x56 x59False.
Assume H10: ∀ x57 x58 x59 . x2 x58 x59x54 x59 (x55 x57)(x54 x58 x57False)False.
Assume H11: ∀ x57 x58 . x53 x58 x57(x54 x58 (x55 x57)False)False.
Assume H12: ∀ x57 x58 . x54 x58 (x55 x57)(x53 x58 x57False)False.
Assume H13: ∀ x57 x58 . x54 x57 x58(x56 x58False)(x2 x57 x58False)False.
Assume H14: ∀ x57 x58 . x2 x58 x57(x54 x58 x57False)False.
Assume H15: ∀ x57 . (x53 x57 x57False)False.
Assume H16: ∀ x57 . (x4 (x5 x57)False)False.
Assume H17: ∀ x57 . (x52 (x5 x57) x57False)False.
Assume H18: ∀ x57 . (x6 (x5 x57)False)False.
Assume H19: ∀ x57 . (x51 (x5 x57)False)False.
Assume H20: (x7 x8False)False.
Assume H21: x56 x8False.
Assume H22: ∀ x57 x58 . (x4 (x9 x57 x58)False)False.
Assume H23: ∀ x57 x58 . (x50 (x9 x57 x58) x57False)False.
Assume H24: ∀ x57 x58 . (x52 (x9 x58 x57) x57False)False.
Assume H25: ∀ x57 x58 . (x51 (x9 x57 x58)False)False.
Assume H26: x10 x11False.
Assume H27: (x4 x11False)False.
Assume H28: (x51 x11False)False.
Assume H29: (x4 x49False)False.
Assume H30: (x6 x49False)False.
Assume H31: (x51 x49False)False.
Assume H32: x56 x49False.
Assume H33: ∀ x57 x58 . (x50 (x48 x57 x58) x57False)False.
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