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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 ι be given.
Let x6 of type ιο be given.
Let x7 of type ιιο be given.
Let x8 of type ι be given.
Let x9 of type ιο be given.
Let x10 of type ιιι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ιι be given.
Let x14 of type ιιο be given.
Let x15 of type ι be given.
Let x16 of type ιι be given.
Let x17 of type ι be given.
Let x18 of type ιο be given.
Let x19 of type ι 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 ι be given.
Let x24 of type ιι be given.
Let x25 of type ιι be given.
Let x26 of type ιι be given.
Let x27 of type ιι 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 ιιι be given.
Let x33 of type ιιι be given.
Let x34 of type ιι be given.
Let x35 of type ιιι be given.
Let x36 of type ιι be given.
Let x37 of type ι be given.
Let x38 of type ιι 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 ι be given.
Let x43 of type ιι be given.
Let x44 of type ιο be given.
Let x45 of type ιιι be given.
Let x46 of type ιιι be given.
Let x47 of type ιιιο be given.
Let x48 of type ι be given.
Let x49 of type ιιι be given.
Let x50 of type ιιο be given.
Let x51 of type ι be given.
Let x52 of type ι be given.
Let x53 of type ι be given.
Let x54 of type ιιι be given.
Let x55 of type ιι be given.
Let x56 of type ι be given.
Let x57 of type ι be given.
Let x58 of type ιο be given.
Assume H5: ∀ x59 x60 . x58 x60(x60 = x59False)x58 x59False.
Assume H6: ∀ x59 x60 . x0 x59 x60x58 x60False.
Assume H7: ∀ x59 . x58 x59(x59 = x57False)False.
Assume H8: ∀ x59 x60 x61 . x0 x59 x60x2 x60 (x1 x61)x58 x61False.
Assume H9: ∀ x59 . x2 x59 x56(x59 = x52False)(x54 x59 (x55 x59) = x53False)False.
Assume H10: ∀ x59 . x2 x59 x56(x59 = x52False)(x2 (x55 x59) x56False)False.
Assume H11: ∀ x59 . x2 x59 x56(x54 x59 x51 = x59False)False.
Assume H12: ∀ x59 x60 x61 . x2 x61 x56x2 x59 x56x2 x60 x56(x54 (x54 x61 x59) x60 = x54 x61 (x54 x59 x60)False)False.
Assume H13: ∀ x59 x60 x61 . x0 x60 x61x2 x61 (x1 x59)(x2 x60 x59False)False.
Assume H14: ∀ x59 . (x3 x57 x59 = x57False)False.
Assume H15: ∀ x59 x60 . x50 x60 x59(x2 x60 (x1 x59)False)False.
Assume H16: ∀ x59 x60 . x2 x60 (x1 x59)(x50 x60 x59False)False.
Assume H17: ∀ x59 . (x3 x59 x57 = x59False)False.
Assume H18: ∀ x59 x60 x61 . x0 x60 x61x0 x59 x61x0 x59 (x4 x61 x60)False.
Assume H19: ∀ x59 x60 . x0 x60 x59(x0 (x4 x59 x60) x59False)False.
Assume H20: ∀ x59 x60 . x2 x59 x60(x58 x60False)(x0 x59 x60False)False.
Assume H21: ∀ x59 x60 . x0 x60 x59(x2 x60 x59False)False.
Assume H22: (x2 x57 x5False)False.
Assume H23: ∀ x59 . (x49 x59 x57 = x59False)False.
Assume H24: ∀ x59 x60 . ......x7 x60 x59(x7 x59 x60False)False.
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