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Proofgold Proof

pf
Let x0 of type ιι be given.
Let x1 of type ιιι be given.
Let x2 of type ιι be given.
Let x3 of type ιιι be given.
Let x4 of type ιιι 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 ι 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 ιιι be given.
Let x16 of type ιι be given.
Let x17 of type ιιο be given.
Let x18 of type ιι be given.
Let x19 of type ιο be given.
Let x20 of type ιιιι be given.
Let x21 of type ιιο be given.
Let x22 of type ιιιι be given.
Let x23 of type ιιι be given.
Assume H0: ∀ x24 x25 x26 . (x25 = x23 x24 x26False)x21 (x22 x24 x26 x25) x25x21 (x22 x24 x26 x25) x24False.
Assume H1: ∀ x24 x25 x26 . (x25 = x23 x26 x24False)x21 (x22 x26 x24 x25) x25x21 (x22 x26 x24 x25) x24False.
Assume H2: ∀ x24 x25 x26 . (x25 = x23 x24 x26False)(x21 (x22 x24 x26 x25) x25False)(x21 (x22 x24 x26 x25) x26False)(x21 (x22 x24 x26 x25) x24False)False.
Assume H3: ∀ x24 x25 x26 . (x25 = x0 x26False)x21 x24 x26x21 (x1 x26 x25) x24x21 (x1 x26 x25) x25False.
Assume H4: ∀ x24 x25 x26 . (x21 (x20 x24 x25 x26) x24False)x25 = x0 x24x21 x26 x25False.
Assume H5: ∀ x24 x25 x26 . (x21 x26 (x20 x24 x25 x26)False)x25 = x0 x24x21 x26 x25False.
Assume H6: ∀ x24 x25 . (x19 x25False)(x17 x24 x25False)(x21 x24 (x18 x25)False)x21 x24 (x0 (x0 (x0 x25)))False.
Assume H7: ∀ x24 x25 x26 x27 . (x19 x27False)(x17 x24 x27False)(x21 x26 (x2 x27)False)x21 x25 x26x21 x24 x25x21 x26 (x0 x27)False.
Assume H8: ∀ x24 x25 x26 . (x19 x26False)(x17 x24 x26False)(x21 x25 (x16 x26)False)x21 x24 x25x21 x25 (x0 (x0 x26))False.
Assume H9: ∀ x24 x25 . (x25 = x0 x24False)(x21 (x1 x24 x25) x25False)(x21 (x1 x24 x25) (x3 x24 x25)False)False.
Assume H10: ∀ x24 x25 . (x19 x25False)(x21 (x15 x25 x24) (x14 x25 x24)False)x21 x24 (x2 x25)False.
Assume H11: ∀ x24 x25 . ...x21 x24 (x16 x25)x17 (x4 x25 x24) x25False.
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