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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 ιιι be given.
Let x2 of type ι be given.
Let x3 of type ιο be given.
Let x4 of type ιι be given.
Let x5 of type ιιι be given.
Let x6 of type ιο be given.
Let x7 of type ι be given.
Let x8 of type ιιιι 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 ιι be given.
Let x15 of type ιι be given.
Let x16 of type ιι be given.
Let x17 of type ιιο be given.
Let x18 of type ιιι be given.
Let x19 of type ιο be given.
Let x20 of type ιιι be given.
Let x21 of type ιιιι be given.
Let x22 of type ιι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ιιο be given.
Let x26 of type ι be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ιιι be given.
Let x30 of type ιιιι be given.
Let x31 of type ιι be given.
Let x32 of type ι be given.
Let x33 of type ιο be given.
Let x34 of type ιο be given.
Let x35 of type ιιι be given.
Let x36 of type ιιιιι be given.
Let x37 of type ιιο be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ιι be given.
Let x41 of type ιο be given.
Let x42 of type ιι be given.
Let x43 of type ιιο be given.
Let x44 of type ιι be given.
Let x45 of type ιο be given.
Let x46 of type ιιι be given.
Let x47 of type ιιιιι be given.
Let x48 of type ιιι be given.
Let x49 of type ιιιο be given.
Let x50 of type ιιο be given.
Let x51 of type ιιι be given.
Let x52 of type ιιο be given.
Let x53 of type ιι be given.
Let x54 of type ιιο be given.
Let x55 of type ιο be given.
Assume H5: ∀ x56 x57 . x55 x57(x57 = x56False)x55 x56False.
Assume H6: ∀ x56 x57 . (x0 x56 (x1 x56 x57)False)False.
Assume H7: ∀ x56 x57 . x54 x56 x57x55 x57False.
Assume H8: ∀ x56 . x55 x56(x56 = x2False)False.
Assume H9: ∀ x56 x57 x58 . x54 x56 x57x52 x57 (x53 x58)x55 x58False.
Assume H10: ∀ x56 x57 x58 . x54 x57 x58x52 x58 (x53 x56)(x52 x57 x56False)False.
Assume H11: ∀ x56 x57 . x0 x57 x56(x52 x57 (x53 x56)False)False.
Assume H12: ∀ x56 x57 . x52 x57 (x53 x56)(x0 x57 x56False)False.
Assume H13: ∀ x56 x57 x58 . x54 x57 x58x54 x56 x58x54 x56 (x51 x58 x57)False.
Assume H14: ∀ x56 x57 . x54 x57 x56(x54 (x51 x56 x57) x56False)False.
Assume H15: ∀ x56 x57 . x52 x56 x57(x55 x57False)(x54 x56 x57False)False.
Assume H16: ∀ x56 x57 x58 . (x3 x58False)x6 x58x52 x57 (x53 (x4 x58))x52 x56 (x53 (x4 x58))x0 x57 x56(x0 (x5 x58 x57) (x5 x58 x56)False)False.
Assume H17: ∀ x56 x57 . x54 x57 x56(x52 x57 x56False)False.
Assume H18: ∀ x56 . (x1 x56 x2 = x56False)False.
Assume H19: ∀ x56 x57 . x50 x56 x57(x50 x57 x56False)False.
Assume H20: x55 x7False.
Assume H21: ∀ x56 . (x0 x56 x56False)False.
Assume H22: ∀ x56 x57 x58 . x52 x57 (x53 x58)x52 x56 (x53 x58)(x8 x58 x57 x56 = x1 x57 x56False)False.
Assume H23: ∀ x56 x57 x58 x59 . .........x52 x56 (x53 (x48 x59 x58))x52 x57 x59(x47 x59 x58 x56 x57 = x46 x56 x57False)False.
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