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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 ιιι be given.
Let x3 of type ι be given.
Let x4 of type ιιιιι be given.
Let x5 of type ιιι be given.
Let x6 of type ιιο be given.
Let x7 of type ι be given.
Let x8 of type ιι be given.
Let x9 of type ι 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 ιιι be given.
Let x14 of type ιιι be given.
Let x15 of type ιιιι be given.
Let x16 of type ιιιι be given.
Let x17 of type ι be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ιο 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 ιο be given.
Let x26 of type ιι be given.
Let x27 of type ιιι be given.
Let x28 of type ιι be given.
Let x29 of type ιιο be given.
Let x30 of type ιι be given.
Let x31 of type ιιο be given.
Let x32 of type ιο be given.
Let x33 of type ιιο be given.
Let x34 of type ιιο be given.
Let x35 of type ιι be given.
Let x36 of type ιο be given.
Assume H5: ∀ x37 x38 . x36 x38(x38 = x37False)x36 x37False.
Assume H6: ∀ x37 x38 x39 x40 . x0 x39 x40x0 x38 x37(x0 (x2 x39 x38) (x1 x40 x37)False)False.
Assume H7: ∀ x37 x38 x39 x40 . x0 (x2 x38 x40) (x1 x37 x39)(x0 x40 x39False)False.
Assume H8: ∀ x37 x38 x39 x40 . x0 (x2 x40 x38) (x1 x39 x37)(x0 x40 x39False)False.
Assume H9: ∀ x37 x38 . x0 x37 x38x36 x38False.
Assume H10: ∀ x37 . x36 x37(x37 = x3False)False.
Assume H11: ∀ x37 x38 x39 . x0 x37 x38x34 x38 (x35 x39)x36 x39False.
Assume H12: ∀ x37 x38 x39 . x0 x38 x39x34 x39 (x35 x37)(x34 x38 x37False)False.
Assume H13: ∀ x37 x38 . x33 x38 x37(x34 x38 (x35 x37)False)False.
Assume H14: ∀ x37 x38 . x34 x38 (x35 x37)(x33 x38 x37False)False.
Assume H15: ∀ x37 x38 . x34 x37 x38(x36 x38False)(x0 x37 x38False)False.
Assume H16: ∀ x37 x38 . x0 x38 x37(x34 x38 x37False)False.
Assume H17: ∀ x37 . (x33 x37 x37False)False.
Assume H18: ∀ x37 x38 x39 x40 . x34 x40 (x35 (x1 x39 x38))(x4 x39 x38 x37 x40 = x5 x37 x40False)False.
Assume H19: ∀ x37 x38 . x32 x38x31 x38 x37(x5 x37 x38 = x38False)False.
Assume H20: ∀ x37 x38 . x32 x38(x5 x37 (x5 x37 x38) = x5 x37 x38False)False.
Assume H21: ∀ x37 . (x36 x37False)(x29 (x30 x37) x37False)False.
Assume H22: ∀ x37 . (x36 x37False)(x34 (x30 x37) (x35 x37)False)False.
Assume H23: ∀ x37 . x29 (x28 x37) x37False.
Assume H24: ∀ x37 . (x34 (x28 x37) (x35 x37)False)False.
Assume H25: ∀ x37 x38 . (x31 (x27 x37 ...) ...False)False.
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