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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 ι be given.
Let x1 of type ι be given.
Let x2 of type ιιο be given.
Let x3 of type ιο be given.
Let x4 of type ι be given.
Let x5 of type ιο be given.
Let x6 of type ιο be given.
Let x7 of type ιο be given.
Let x8 of type ιο be given.
Let x9 of type ιο be given.
Let x10 of type ιο be given.
Let x11 of type ιι 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 ιι be given.
Let x19 of type ιι be given.
Let x20 of type ιι be given.
Let x21 of type ι be given.
Let x22 of type ιο be given.
Let x23 of type ιο be given.
Let x24 of type ιι be given.
Let x25 of type ιιο be given.
Let x26 of type ιιιι be given.
Let x27 of type ιο be given.
Let x28 of type ιο be given.
Let x29 of type ιο be given.
Assume H5: ∀ x30 x31 x32 x33 . (x29 x33False)x22 x33x28 x33x23 x33x27 x33x25 x30 (x24 x33)x25 x32 (x24 x33)x25 x31 (x24 x33)(x26 x33 (x26 x33 x31 x32) (x26 x33 (x26 x33 x30 x30) x32) = x26 x33 (x26 x33 x32 (x26 x33 (x26 x33 x31 x31) x30)) (x26 x33 x32 (x26 x33 (x26 x33 x31 x31) x30))False)False.
Assume H6: (x2 x1 x0False)False.
Assume H7: (x27 x1False)False.
Assume H8: (x3 x4False)False.
Assume H9: (x23 x4False)False.
Assume H10: (x28 x4False)False.
Assume H11: (x22 x4False)False.
Assume H12: x29 x4False.
Assume H13: (x27 x4False)False.
Assume H14: ∀ x30 . (x5 x30False)x7 x30x6 (x24 x30)False.
Assume H15: ∀ x30 . x5 x30x7 x30(x6 (x24 x30)False)False.
Assume H16: ∀ x30 . x8 x30x7 x30(x9 (x24 x30)False)False.
Assume H17: ∀ x30 . (x8 x30False)x7 x30x9 (x24 x30)False.
Assume H18: ∀ x30 . (x29 x30False)x7 x30x10 (x24 x30)False.
Assume H19: ∀ x30 . x29 x30x7 x30(x10 (x24 x30)False)False.
Assume H20: ∀ x30 . (x25 (x11 x30) x30False)False.
Assume H21: (x7 x21False)False.
Assume H22: (x27 x12False)False.
Assume H23: ∀ x30 . x27 x30(x7 x30False)False.
Assume H24: ∀ x30 x31 x32 . (x29 x32False)x27 x32x25 x31 (x24 x32)x25 x30 (x24 x32)(x25 (x26 x32 x31 x30) (x24 x32)False)False.
Assume H25: ∀ x30 . ......x26 x30 (x26 x30 (x19 x30) (x26 x30 (x18 x30) (x20 x30))) (x26 x30 (x19 x30) (x26 x30 (x18 x30) (x20 ...))) = ...(x23 x30False)False.
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