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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 ιιιιι be given.
Let x1 of type ιο be given.
Let x2 of type ιο be given.
Let x3 of type ιο be given.
Let x4 of type ιο be given.
Let x5 of type ιο be given.
Let x6 of type ιο be given.
Let x7 of type ιι be given.
Let x8 of type ι be given.
Let x9 of type ιιιιι be given.
Let x10 of type ι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ιιο be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ιο be given.
Let x19 of type ιι be given.
Let x20 of type ιιο be given.
Let x21 of type ιιιιιο be given.
Let x22 of type ιο be given.
Let x23 of type ιο be given.
Assume H5: ∀ x24 x25 x26 x27 x28 . (x23 x28False)x18 x28x22 x28x20 x24 (x19 x28)x20 x27 (x19 x28)x20 x25 (x19 x28)x20 x26 (x19 x28)x21 x28 x24 x27 x25 x26(x21 x28 x26 x27 x25 x24False)False.
Assume H6: ∀ x24 x25 x26 x27 x28 . (x23 x28False)x18 x28x22 x28x20 x24 (x19 x28)x20 x27 (x19 x28)x20 x25 (x19 x28)x20 x26 (x19 x28)x21 x28 x24 x27 x25 x26(x21 x28 x25 x24 x26 x27False)False.
Assume H7: ∀ x24 x25 x26 x27 x28 . (x23 x28False)x18 x28x22 x28x20 x24 (x19 x28)x20 x27 (x19 x28)x20 x25 (x19 x28)x20 x26 (x19 x28)x21 x28 x24 x27 x25 x26(x21 x28 x27 x26 x24 x25False)False.
Assume H8: ∀ x24 x25 x26 x27 x28 . (x23 x28False)x18 x28x22 x28x20 x24 (x19 x28)x20 x27 (x19 x28)x20 x25 (x19 x28)x20 x26 (x19 x28)x21 x28 x24 x27 x25 x26(x21 x28 x26 x25 x27 x24False)False.
Assume H9: ∀ x24 x25 x26 x27 x28 . (x23 x28False)x18 x28x22 x28x20 x24 (x19 x28)x20 x27 (x19 x28)x20 x25 (x19 x28)x20 x26 (x19 x28)x21 x28 x24 x27 x25 x26(x21 x28 x24 x25 x27 x26False)False.
Assume H10: ∀ x24 x25 x26 x27 x28 . (x23 x28False)x18 x28x22 x28x20 x24 (x19 x28)x20 x27 (x19 x28)x20 x25 (x19 x28)x20 x26 (x19 x28)x21 x28 x24 x27 x25 x26(x21 x28 x27 x24 x26 x25False)False.
Assume H11: ∀ x24 x25 x26 x27 x28 . ........................(x21 x28 x25 x26 ... ...False)False.
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