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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 ιι be given.
Let x2 of type ιο be given.
Let x3 of type ιιι be given.
Let x4 of type ι be given.
Let x5 of type ιιι be given.
Let x6 of type ι be given.
Let x7 of type ιι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ι be given.
Let x13 of type ιιιο be given.
Let x14 of type ιιο be given.
Let x15 of type ι be given.
Let x16 of type ιιι be given.
Let x17 of type ιιι be given.
Let x18 of type ιιο be given.
Let x19 of type ιιο be given.
Let x20 of type ι be given.
Assume H5: ∀ x21 x22 . x19 x22 x20x19 x21 x20x18 x22 x21(x17 x22 (x16 x21 x22) = x21False)False.
Assume H6: ∀ x21 x22 . x19 x22 x20x19 x21 x20x18 x22 x21(x19 (x16 x21 x22) x20False)False.
Assume H7: ∀ x21 x22 x23 . x19 x23 x20x19 x21 x20x19 x22 x20(x17 x23 (x17 x21 x22) = x17 (x17 x23 x21) x22False)False.
Assume H8: ∀ x21 x22 x23 . x0 x21 x22x19 x22 (x1 x23)x2 x23False.
Assume H9: ∀ x21 x22 . x19 x22 x20x19 x21 x20x17 x22 x21 = x15(x22 = x15False)False.
Assume H10: ∀ x21 x22 x23 . x0 x22 x23x19 x23 (x1 x21)(x19 x22 x21False)False.
Assume H11: ∀ x21 x22 . x14 x22 x21(x19 x22 (x1 x21)False)False.
Assume H12: ∀ x21 x22 . x19 x22 (x1 x21)(x14 x22 x21False)False.
Assume H13: ∀ x21 x22 . x19 x21 x22(x2 x22False)(x0 x21 x22False)False.
Assume H14: ∀ x21 x22 . x0 x22 x21(x19 x22 x21False)False.
Assume H15: ∀ x21 x22 . x19 x22 x20x19 x21 x20x17 x22 x21 = x21(x22 = x15False)False.
Assume H16: ∀ x21 . (x14 x21 x21False)False.
Assume H17: ∀ x21 x22 x23 . (x2 x23False)(x2 x21False)x19 x21 (x1 x23)x19 x22 x21(x13 x22 x23 x21False)False.
Assume H18: ∀ x21 x22 x23 . (x2 x23False)(x2 x21False)x19 x21 (x1 x23)x13 x22 x23 x21(x19 x22 x21False)False.
Assume H19: (x15 = x12False)False.
Assume H20: ∀ x21 x22 . (x2 x22False)(x2 x21False)x19 x21 (x1 x22)(x13 (x3 x21 x22) x22 x21False)False.
Assume H21: ∀ x21 . (x19 (x11 x21) x21False)False.
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