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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 ιιι be given.
Let x1 of type ιο be given.
Let x2 of type ιιι be given.
Let x3 of type ιι be given.
Let x4 of type ιιο be given.
Let x5 of type ιο be given.
Let x6 of type ιο be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ιι be given.
Let x10 of type ι 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 ιι be given.
Let x15 of type ιι be given.
Let x16 of type ι be given.
Let x17 of type ιο be given.
Let x18 of type ιι be given.
Let x19 of type ιιι be given.
Let x20 of type ιιο be given.
Let x21 of type ιιο be given.
Let x22 of type ιι be given.
Let x23 of type ιο 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 ιο be given.
Let x28 of type ιιι be given.
Let x29 of type ιιο be given.
Assume H5: ∀ x30 x31 x32 x33 . x29 x32 x33x29 x31 x30(x29 (x28 x32 x31) (x28 x33 x30)False)False.
Assume H6: ∀ x30 x31 x32 . x29 x31 x32x29 x30 x32(x29 (x0 x31 x30) x32False)False.
Assume H7: ∀ x30 . x27 x30x23 x30(x29 (x25 (x24 x30)) (x28 (x26 x30) (x26 x30))False)False.
Assume H8: ∀ x30 . x27 x30x23 x30(x29 (x24 x30) (x28 (x26 x30) (x26 x30))False)False.
Assume H9: ∀ x30 x31 . (x29 x30 (x0 x30 x31)False)False.
Assume H10: ∀ x30 x31 . x1 x31(x29 (x2 x31 x30) x31False)False.
Assume H11: ∀ x30 x31 . x29 x31 x30(x21 x31 (x22 x30)False)False.
Assume H12: ∀ x30 x31 . x21 x31 (x22 x30)(x29 x31 x30False)False.
Assume H13: ∀ x30 x31 x32 . x29 x31 x32x29 x32 x30(x29 x31 x30False)False.
Assume H14: ∀ x30 . (x29 (x3 x30) (x28 x30 x30)False)False.
Assume H15: ∀ x30 . (x29 x30 x30False)False.
Assume H16: ∀ x30 x31 . x1 x31x4 x31 x30(x2 x31 x30 = x31False)False.
Assume H17: ∀ x30 x31 . x1 x31(x2 (x2 x31 x30) x30 = x2 x31 x30False)False.
Assume H18: ∀ x30 . (x25 (x3 x30) = x3 x30False)False.
Assume H19: ∀ x30 x31 . (x20 (x19 x30 x31) x30False)False.
Assume H20: ∀ x30 x31 . (x4 (x19 x31 x30) x30False)False.
Assume H21: ∀ x30 x31 . (x1 (x19 x30 x31)False)False.
Assume H22: ∀ x30 . x1 x30(x25 (x25 x30) = x30False)False.
Assume H23: ∀ x30 . (x0 x30 x30 = x30False)False.
Assume H24: ∀ x30 x31 . (x1 (x28 x30 x31)False)False.
Assume H25: ∀ x30 x31 . x1 x31x1 x30(x1 (x0 x31 x30)False)False.
Assume H26: ∀ x30 . (x5 (x3 x30)False)False.
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