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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 ιιο be given.
Let x1 of type ιι be given.
Let x2 of type ιιο be given.
Let x3 of type ιι be given.
Let x4 of type ιι be given.
Let x5 of type ιιο be given.
Let x6 of type ιιο be given.
Let x7 of type ιο be given.
Let x8 of type ιιιι be given.
Let x9 of type ιιι be given.
Let x10 of type ιιιιι be given.
Let x11 of type ιιιιιι be given.
Let x12 of type ιιιιι be given.
Let x13 of type ιιιο be given.
Let x14 of type ιιι be given.
Let x15 of type ιιιι be given.
Let x16 of type ιι 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 ιο be given.
Let x21 of type ι be given.
Let x22 of type ιι be given.
Let x23 of type ιιι be given.
Let x24 of type ιιο be given.
Let x25 of type ιι be given.
Let x26 of type ιι be given.
Let x27 of type ιιο be given.
Let x28 of type ιι be given.
Let x29 of type ιιι be given.
Let x30 of type ιι be given.
Let x31 of type ιι be given.
Let x32 of type ι be given.
Let x33 of type ιιι be given.
Let x34 of type ιιι be given.
Let x35 of type ι be given.
Let x36 of type ιι be given.
Let x37 of type ιιιιι be given.
Let x38 of type ι be given.
Let x39 of type ι be given.
Let x40 of type ι be given.
Let x41 of type ι be given.
Let x42 of type ι be given.
Let x43 of type ιο be given.
Let x44 of type ιο be given.
Let x45 of type ιο be given.
Let x46 of type ιιο be given.
Let x47 of type ιιι be given.
Let x48 of type ιιι be given.
Let x49 of type ιο be given.
Let x50 of type ιιι be given.
Let x51 of type ιιι be given.
Let x52 of type ιι be given.
Let x53 of type ι be given.
Let x54 of type ιι be given.
Let x55 of type ιι be given.
Let x56 of type ιι be given.
Let x57 of type ι be given.
Let x58 of type ιο be given.
Let x59 of type ι be given.
Let x60 of type ι be given.
Let x61 of type ιιι be given.
Let x62 of type ιιο be given.
Let x63 of type ιι be given.
Let x64 of type ιο be given.
Let x65 of type ιο be given.
Let x66 of type ιιι be given.
Let x67 of type ιιι be given.
Let x68 of type ιιο be given.
Let x69 of type ιιο be given.
Let x70 of type ιιο be given.
Let x71 of type ι be given.
Let x72 of type ιο be given.
Assume H5: ∀ x73 x74 . x72 x74(x74 = x73False)x72 x73False.
Assume H6: ∀ x73 x74 . x0 x73 x74x72 x74False.
Assume H7: ∀ x73 . x72 x73(x73 = x71False)False.
Assume H8: ∀ x73 x74 x75 . x0 x73 x74x2 x74 (x1 x75)x72 x75False.
Assume H9: ∀ x73 x74 x75 . x0 x74 x75x2 x75 (x1 x73)(x2 x74 x73False)False.
Assume H10: ∀ x73 . (x5 (x4 x73) (x3 x73)False)False.
Assume H11: ∀ x73 x74 . x70 x74 x73(x2 x74 (x1 x73)False)False.
Assume H12: ∀ x73 x74 . x2 x74 (x1 x73)(x70 x74 x73False)False.
Assume H13: ∀ x73 . (x69 (x4 x73) (x3 x73)False)False.
Assume H14: ∀ x73 . (x6 (x4 x73) (x3 x73)False)False.
Assume H15: ∀ x73 . (x68 (x4 x73) (x3 x73)False)False.
Assume H16: ∀ x73 x74 x75 x76 x77 x78 . (x72 x78False)(x72 x73False)x7 x77x13 x77 (x14 x78 x78) x78x2 x77 (x1 (x14 (x14 x78 x78) x78))x2 x74 (x3 x73)x7 x76x13 x76 x73 x78x2 x76 (x1 (x14 x73 x78))x68 x77 x78x6 x77 x78x69 x77 x78x5 x77 x78x2 x75 x73(x11 x73 x78 x77 (x8 x73 x74 (x9 x73 x75)) x76 = x10 x78 x77 (x11 x73 x78 x77 x74 x76) (x12 x73 x78 x76 x75)False)False.
Assume H17: ∀ x73 x74 . x2 x73 x74(x72 x74False)(x0 x73 x74False)False.
Assume H18: ∀ x73 x74 . x0 x74 x73(x2 x74 x73False)False.
Assume H19: ∀ x73 . (x67 ... ... = ...False)False.
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