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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 ιιο be given.
Let x2 of type ι be given.
Let x3 of type ιι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ιιι be given.
Let x7 of type ιιι be given.
Let x8 of type ιιιι be given.
Let x9 of type ιιι be given.
Let x10 of type ιιι 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 ιο be given.
Assume H5: ∀ x15 x16 . x14 x16(x16 = x15False)x14 x15False.
Assume H6: ∀ x15 x16 . x0 x15 x16x14 x16False.
Assume H7: ∀ x15 . x14 x15(x15 = x13False)False.
Assume H8: ∀ x15 . (x1 x15 x15False)False.
Assume H9: x14 x12False.
Assume H10: (x14 x2False)False.
Assume H11: ∀ x15 x16 . x0 x16 x15(x1 x16 (x11 x15)False)False.
Assume H12: ∀ x15 . x14 (x3 x15)False.
Assume H13: (x14 x13False)False.
Assume H14: (x14 x4False)False.
Assume H15: ∀ x15 x16 . (x0 (x10 x16 x15) x15False)(x0 (x9 x16 x15) x16False)(x16 = x11 x15False)False.
Assume H16: ∀ x15 x16 . (x0 (x9 x16 x15) (x10 x16 x15)False)(x0 (x9 x16 x15) x16False)(x16 = x11 x15False)False.
Assume H17: ∀ x15 x16 x17 . x0 (x9 x17 x16) x17x0 (x9 x17 x16) x15x0 x15 x16(x17 = x11 x16False)False.
Assume H18: ∀ x15 x16 x17 x18 . x17 = x11 x18x0 x16 x15x0 x15 x18(x0 x16 x17False)False.
Assume H19: ∀ x15 x16 x17 . x16 = x11 x17x0 x15 x16(x0 (x8 x15 x16 x17) x17False)False.
Assume H20: ∀ x15 x16 x17 . x16 = x11 x17x0 x15 x16(x0 x15 (x8 x15 x16 x17)False)False.
Assume H21: ∀ x15 x16 . x0 (x7 x15 x16) x15(x1 x16 x15False)False.
Assume H22: ∀ x15 x16 . (x0 (x7 x15 x16) x16False)(x1 x16 x15False)False.
Assume H23: ∀ x15 x16 x17 . x1 x16 x17x0 x15 x16(x0 x15 x17False)False.
Assume H24: (x13 = x4False)False.
Assume H25: ∀ x15 x16 . (x6 x16 x15 = x15False)(x0 (x6 x16 x15) x16False)(x16 = x3 x15False)False.
Assume H26: ∀ x15 x16 . ...x6 x16 x15 = ...(x16 = x3 x15False)False.
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