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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 ι be given.
Let x4 of type ιιι be given.
Let x5 of type ι be given.
Let x6 of type ιι be given.
Let x7 of type ιι be given.
Let x8 of type ι be given.
Let x9 of type ιιιο 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 ιο 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 ι be given.
Let x20 of type ιιι be given.
Let x21 of type ιο be given.
Let x22 of type ιο be given.
Let x23 of type ιο be given.
Let x24 of type ιο be given.
Let x25 of type ιο be given.
Let x26 of type ι be given.
Let x27 of type ιο be given.
Let x28 of type ιο be given.
Let x29 of type ιι be given.
Let x30 of type ιο be given.
Let x31 of type ι 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 ι be given.
Let x36 of type ιο be given.
Let x37 of type ιιι be given.
Let x38 of type ιι be given.
Let x39 of type ιι be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ιιι be given.
Let x43 of type ιιο be given.
Let x44 of type ιιο be given.
Let x45 of type ιι be given.
Let x46 of type ι be given.
Let x47 of type ιιι be given.
Let x48 of type ιιι be given.
Let x49 of type ιο be given.
Let x50 of type ιο be given.
Let x51 of type ιο be given.
Let x52 of type ιιο be given.
Let x53 of type ιο be given.
Assume H5: ∀ x54 x55 . x53 x55x53 x54(x52 x55 x54False)(x51 x54False)(x50 x55False)False.
Assume H6: ∀ x54 x55 . x0 x55(x55 = x54False)x0 x54False.
Assume H7: ∀ x54 x55 . x53 x55x53 x54(x52 x55 x54False)(x50 x55False)(x51 x54False)False.
Assume H8: ∀ x54 x55 . x1 x54 x55x0 x55False.
Assume H9: ∀ x54 x55 x56 x57 . x49 x57x49 x54x49 x56x49 x55(x48 (x47 x57 x54) (x47 x56 x55) = x47 (x48 x57 x56) (x48 x54 x55)False)False.
Assume H10: ∀ x54 x55 x56 . x53 x56x53 x54x53 x55(x52 x56 x2False)(x52 x55 x54False)x52 (x47 x55 x56) (x47 x54 x56)False.
Assume H11: ∀ x54 x55 . x53 x55x53 x54x52 x55 x54(x0 x55False)(x50 x54False)(x51 x55False)False.
Assume H12: ∀ x54 . x0 x54(x54 = x3False)False.
Assume H13: ∀ x54 . x49 x54(x47 x54 x46 = x54False)False.
Assume H14: ∀ x54 . x49 x54(x54 = x2False)(x47 x54 x54 = x46False)False.
Assume H15: ∀ x54 x55 x56 . x1 x54 x55x44 x55 (x45 x56)x0 x56False.
Assume H16: ∀ x54 x55 . x53 x55x53 x54x52 x55 x54(x0 x54False)(x51 x55False)(x50 x54False)False.
Assume H17: ∀ x54 . x49 x54(x47 x2 x54 = x2False)False.
Assume H18: ∀ x54 x55 x56 . x1 x55 x56x44 x56 (x45 x54)(x44 x55 x54False)False.
Assume H19: ∀ x54 x55 . x53 x55x53 x54x52 x55 x54(x50 x54False)x50 x55False.
Assume H20: ∀ x54 . ...(x4 x54 ... = ...False)False.
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