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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 ιο be given.
Let x1 of type ιιο be given.
Let x2 of type ιι be given.
Let x3 of type ιιιι be given.
Let x4 of type ιι be given.
Let x5 of type ιι be given.
Let x6 of type ιι 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 ιιι be given.
Let x11 of type ι be given.
Let x12 of type ιιι be given.
Let x13 of type ιιι be given.
Let x14 of type ιιι be given.
Let x15 of type ιιιο be given.
Let x16 of type ιι be given.
Let x17 of type ιι be given.
Let x18 of type ιιο be given.
Let x19 of type ιιιι be given.
Let x20 of type ιι be given.
Let x21 of type ιο be given.
Assume H5: ∀ x22 x23 x24 . x21 x24x15 x22 (x17 x24) (x16 x24)x15 x23 (x17 x24) (x16 x24)(x18 (x19 x24 x22 (x19 x24 x23 x22)) (x20 x24)False)False.
Assume H6: ∀ x22 x23 x24 x25 . x21 x25x15 x22 (x17 x25) (x16 x25)x15 x24 (x17 x25) (x16 x25)x15 x23 (x17 x25) (x16 x25)x18 (x19 x25 x22 x24) (x20 x25)x18 (x19 x25 x24 x23) (x20 x25)(x18 (x19 x25 x22 x23) (x20 x25)False)False.
Assume H7: ∀ x22 x23 x24 . x21 x24x15 x22 (x17 x24) (x16 x24)x15 x23 (x17 x24) (x16 x24)(x18 (x19 x24 (x19 x24 x22 x23) (x19 x24 (x14 x24 x23) (x14 x24 x22))) (x20 x24)False)False.
Assume H8: ∀ x22 x23 x24 . (x0 x24False)(x0 x22False)x1 x22 (x2 x24)x1 x23 x22(x15 x23 x24 x22False)False.
Assume H9: ∀ x22 x23 x24 . (x0 x24False)(x0 x22False)x1 x22 (x2 x24)x15 x23 x24 x22(x1 x23 x22False)False.
Assume H10: ∀ x22 x23 x24 . x21 x24x1 x22 (x16 x24)x1 x23 (x16 x24)(x19 x24 x22 x23 = x3 x24 x22 x23False)False.
Assume H11: ∀ x22 x23 . x21 x23x1 x22 (x16 x23)(x14 x23 x22 = x13 x23 x22False)False.
Assume H12: ∀ x22 . x21 x22(x5 x22 = x4 x22False)False.
Assume H13: ∀ x22 x23 . x21 x23x15 x22 (x17 x23) (x16 x23)(x18 (x19 x23 (x19 x23 x22 (x14 x23 (x5 x23))) (x14 x23 x22)) (x20 x23)False)False.
Assume H14: ∀ x22 . x21 x22x0 (x16 x22)False.
Assume H15: ∀ x22 x23 . ......x1 ... ...(x15 (x12 x22 x23) x23 x22False)False.
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