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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 ιο be given.
Let x3 of type ιι be given.
Let x4 of type ι be given.
Let x5 of type ιι be given.
Let x6 of type ιι be given.
Let x7 of type ιιο be given.
Let x8 of type ιιο 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 ιι 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 ι be given.
Let x19 of type ιο be given.
Let x20 of type ιο be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ιιο 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 ιιο be given.
Let x29 of type ι be given.
Let x30 of type ιιι be given.
Let x31 of type ιο be given.
Let x32 of type ιιο be given.
Let x33 of type ιο be given.
Let x34 of type ιιι be given.
Let x35 of type ιιι be given.
Let x36 of type ιιιι be given.
Let x37 of type ιι be given.
Let x38 of type ιι be given.
Let x39 of type ιιο be given.
Let x40 of type ιο be given.
Assume H5: ∀ x41 x42 x43 . x40 x43x33 x43x39 x42 (x38 (x37 x43))x39 x41 (x38 (x37 x43))(x36 (x37 x43) (x34 x43 (x35 x43 (x36 (x37 x43) x42 (x36 (x37 x43) (x34 x43 (x35 x43 x41)) x41)))) (x36 (x37 x43) x42 (x36 (x37 x43) (x34 x43 (x35 x43 x41)) x41)) = x36 (x37 x43) (x34 x43 (x35 x43 (x36 (x37 x43) x42 x41))) (x36 (x37 x43) x42 x41)False)False.
Assume H6: ∀ x41 x42 . x0 x42 x41(x39 x42 (x38 x41)False)False.
Assume H7: ∀ x41 x42 . x39 x42 (x38 x41)(x0 x42 x41False)False.
Assume H8: ∀ x41 x42 . x40 x42x33 x42x39 x41 (x38 (x37 x42))(x1 (x34 x42 x41) x42False)False.
Assume H9: ∀ x41 x42 . x40 x42x33 x42x39 x41 (x38 (x37 x42))(x32 (x35 x42 x41) x42False)False.
Assume H10: ∀ x41 . x2 (x38 x41)False.
Assume H11: ∀ x41 . x33 x41(x31 x41False)False.
Assume H12: ∀ x41 x42 x43 . x39 x42 (x38 x43)x39 x41 (x38 x43)(x39 (x36 x43 x42 x41) (x38 x43)False)False.
Assume H13: ∀ x41 x42 . x33 x42x39 x41 (x38 (x37 x42))(x39 (x35 x42 x41) (x38 (x37 x42))False)False.
Assume H14: ∀ x41 x42 . x33 x42x39 x41 (x38 (x37 x42))(x39 (x34 x42 x41) (x38 (x37 x42))False)False.
Assume H15: ∀ x41 x42 x43 . x39 x42 (x38 x43)x39 x41 (x38 x43)(x36 x43 x42 x41 = x30 x42 x41False)False.
Assume H16: ∀ x41 . (x39 (x3 x41) x41False)False.
Assume H17: (x33 x29False)False.
Assume H18: ∀ x41 x42 x43 . ......(x36 x43 x42 x42 = x42False)False.
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