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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 ι be given.
Let x2 of type ι be given.
Let x3 of type ιι be given.
Let x4 of type ιιο be given.
Let x5 of type ι be given.
Let x6 of type ιι be given.
Let x7 of type ιο be given.
Let x8 of type ι be given.
Let x9 of type ιο be given.
Let x10 of type ιο be given.
Let x11 of type ιο be given.
Let x12 of type ιιι be given.
Let x13 of type ιιι be given.
Let x14 of type ιο be given.
Let x15 of type ιο be given.
Let x16 of type ιο be given.
Let x17 of type ιο be given.
Let x18 of type ι be given.
Let x19 of type ιο be given.
Let x20 of type ιιι be given.
Let x21 of type ι be given.
Let x22 of type ιιο be given.
Let x23 of type ιι be given.
Let x24 of type ιιι be given.
Let x25 of type ιιι be given.
Let x26 of type ιι be given.
Let x27 of type ι be given.
Let x28 of type ιιο be given.
Let x29 of type ιο be given.
Let x30 of type ιιο be given.
Let x31 of type ιι be given.
Assume H5: ∀ x32 x33 x34 . (x30 x33 (x31 x34)False)x32 = x33x29 x34x22 x32 x21x28 x32 (x25 (x26 x34) x27)x28 (x24 (x23 (x26 x34)) x27) x32False.
Assume H6: ∀ x32 x33 . (x0 x32 x33 = x24 x32 x33False)x29 x32x22 x33 x1False.
Assume H7: ∀ x32 x33 . (x20 x32 x33 = x32False)x29 x33x30 x32 (x31 x33)False.
Assume H8: ∀ x32 . (x22 (x26 x32) x1False)x29 x32False.
Assume H9: ∀ x32 . (x23 (x23 x32) = x32False)x19 x32False.
Assume H10: x4 (x3 x2) (x3 (x24 x2 x27))False.
Assume H11: x28 x18 x27False.
Assume H12: (x22 x1 (x6 x5)False)False.
Assume H13: (x22 x18 x5False)False.
Assume H14: (x22 x27 x1False)False.
Assume H15: (x22 x27 x5False)False.
Assume H16: (x7 x8False)False.
Assume H17: (x17 x21False)False.
Assume H18: (x9 x5False)False.
Assume H19: (x29 x2False)False.
Assume H20: (x8 = x1False)False.
Assume H21: (x16 x8False)x9 x8False.
Assume H22: (x10 x21False)x9 x21False.
Assume H23: (x14 x2False)x15 x2False.
Assume H24: (x14 (x24 (x23 (x26 (x24 x2 x27))) x27)False)x15 (x24 (x23 (x26 (x24 x2 x27))) x27)False.
Assume H25: (x14 (x25 (x26 x2) x27)False)x15 (x25 (x26 x2) x27)False.
Assume H26: (x14 (x25 (x26 (x24 x2 x27)) x27)False)x15 (x25 (x26 (x24 x2 x27)) x27)False.
Assume H27: (x14 (x24 (x23 (x26 x2)) x27)False)x15 (x24 (x23 (x26 x2)) x27)False.
Assume H28: (x9 x21False)x11 x21False.
Assume H29: (x15 x2False)x29 x2False.
Assume H30: (...False)x17 x21False.
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