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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 ιιιο be given.
Let x2 of type ιι be given.
Let x3 of type ιι be given.
Let x4 of type ιι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι 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 ιι be given.
Let x12 of type ιι be given.
Let x13 of type ιιι be given.
Let x14 of type ιο be given.
Let x15 of type ιιο be given.
Let x16 of type ιι be given.
Let x17 of type ιιο be given.
Let x18 of type ιιο be given.
Let x19 of type ιι be given.
Let x20 of type ιι be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ιι be given.
Let x27 of type ιι be given.
Let x28 of type ιι be given.
Let x29 of type ιι be given.
Let x30 of type ιιο be given.
Let x31 of type ι be given.
Let x32 of type ιο be given.
Let x33 of type ιο be given.
Let x34 of type ι be given.
Let x35 of type ι be given.
Let x36 of type ι be given.
Let x37 of type ιιο be given.
Let x38 of type ιι be given.
Let x39 of type ι be given.
Let x40 of type ιο be given.
Let x41 of type ιο be given.
Let x42 of type ιο be given.
Let x43 of type ιιιο be given.
Let x44 of type ιιο be given.
Let x45 of type ιιιι be given.
Let x46 of type ιιιι be given.
Let x47 of type ιιο be given.
Let x48 of type ιο be given.
Let x49 of type ιο be given.
Assume H5: ∀ x50 x51 x52 x53 x54 . (x49 x54False)x42 x54x48 x54(x49 x50False)x47 x50 x54(x49 x51False)x47 x51 x54(x49 x52False)x47 x52 x54(x49 x53False)x47 x53 x54x43 x54 x50 x52x43 x54 x51 x53(x44 x50 x51False)(x43 x54 (x46 x54 x50 x51) (x45 x54 x52 x53)False)False.
Assume H6: ∀ x50 . x48 x50x49 x50(x0 x50False)False.
Assume H7: ∀ x50 x51 . x42 x51x48 x51x47 x50 x51(x42 x50False)False.
Assume H8: ∀ x50 x51 . x48 x51x47 x50 x51(x48 x50False)False.
Assume H9: ∀ x50 . x48 x50(x41 x50False)False.
Assume H10: ∀ x50 x51 x52 . (x49 x52False)x48 x52(x49 x51False)x47 x51 x52(x49 x50False)x47 x50 x52(x47 (x46 x52 x51 x50) x52False)False.
Assume H11: ∀ x50 x51 x52 . (x49 x52False)x48 x52(x49 x51False)x47 x51 x52(x49 x50False)x47 x50 x52(x40 (x46 x52 x51 x50)False)False.
Assume H12: ∀ x50 x51 x52 . (x49 x52False)x48 x52(x49 x51False)x47 x51 x52(x49 x50False)x47 x50 x52x49 (x46 x52 x51 x50)False.
Assume H13: ∀ x50 x51 x52 . (x49 x52False)x48 x52(x49 x51False)x47 x51 x52(x49 x50False)x47 x50 x52(x47 (x45 x52 x51 x50) x52False)False.
Assume H14: ∀ x50 x51 x52 . (x49 x52False)x48 x52(x49 x51False)x47 x51 x52(x49 x50False)x47 x50 x52(x40 (x45 x52 x51 x50)False)False.
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