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Proofgold Proof

pf
Let x0 of type ιο be given.
Let x1 of type ιι be given.
Let x2 of type ιι be given.
Let x3 of type ιιο be given.
Let x4 of type ιιιι be given.
Let x5 of type ιι be given.
Let x6 of type ιι be given.
Let x7 of type ιιι be given.
Let x8 of type ιιι be given.
Let x9 of type ιιι be given.
Let x10 of type ιιι be given.
Let x11 of type ιι be given.
Let x12 of type ιι be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ι be given.
Let x16 of type ιι be given.
Let x17 of type ιι be given.
Let x18 of type ιι be given.
Let x19 of type ι be given.
Let x20 of type ιιι be given.
Let x21 of type ιιι be given.
Let x22 of type ιιι be given.
Let x23 of type ιιι be given.
Let x24 of type ιι be given.
Let x25 of type ιιι be given.
Let x26 of type ιιο be given.
Let x27 of type ιιιι be given.
Let x28 of type ιιι be given.
Assume H0: ∀ x29 x30 x31 . (x30 = x28 x29 x31False)x26 (x27 x29 x31 x30) x30x26 (x27 x29 x31 x30) x29False.
Assume H1: ∀ x29 x30 x31 . (x30 = x28 x31 x29False)x26 (x27 x31 x29 x30) x30x26 (x27 x31 x29 x30) x29False.
Assume H2: ∀ x29 x30 x31 . (x30 = x28 x29 x31False)(x26 (x27 x29 x31 x30) x30False)(x26 (x27 x29 x31 x30) x31False)(x26 (x27 x29 x31 x30) x29False)False.
Assume H3: ∀ x29 x30 . (x0 x30False)(x3 x29 x30False)(x26 x29 (x2 x30)False)x26 x29 (x1 (x1 (x1 (x1 x30))))False.
Assume H4: ∀ x29 x30 x31 . (x30 = x1 x31False)x26 x29 x31x26 (x25 x31 x30) x29x26 (x25 x31 x30) x30False.
Assume H5: ∀ x29 x30 x31 . (x26 (x4 x29 x30 x31) x29False)x30 = x1 x29x26 x31 x30False.
Assume H6: ∀ x29 x30 x31 . (x26 x31 (x4 x29 x30 x31)False)x30 = x1 x29x26 x31 x30False.
Assume H7: ∀ x29 x30 x31 . (x0 x31False)(x3 x29 x31False)(x26 x30 (x5 x31)False)x26 x29 x30x26 x30 (x1 (x1 (x1 x31)))False.
Assume H8: ∀ x29 x30 . (x0 x30False)(x26 x29 (x1 (x1 (x1 (x1 x30))))False)x26 x29 (x2 x30)False.
Assume H9: ∀ x29 x30 x31 x32 x33 . (x0 x33False)(x3 x29 x33False)(x26 x32 (x6 x33)False)x26 x30 x32x26 x31 x30x26 x29 x31x26 x32 (x1 x33)False.
Assume H10: ∀ x29 x30 x31 x32 . (x0 x32False)(x3 x29 x32False)(x26 x31 (x24 x32)False)x26 x30 x31x26 x29 x30x26 x31 (x1 (x1 x32))False.
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