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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 ιο be given.
Let x2 of type ιο be given.
Let x3 of type ιο be given.
Let x4 of type ιιιο be given.
Let x5 of type ιιο be given.
Let x6 of type ιιιιιο be given.
Let x7 of type ιιιι be given.
Let x8 of type ιιιιι be given.
Let x9 of type ιι be given.
Let x10 of type ιιι be given.
Let x11 of type ιιιο be given.
Let x12 of type ιιο be given.
Let x13 of type ιι be given.
Let x14 of type ιο be given.
Let x15 of type ιιο be given.
Let x16 of type ιιο be given.
Let x17 of type ιιο be given.
Let x18 of type ιιιιιο be given.
Let x19 of type ιιι 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 ι be given.
Let x24 of type ιιι be given.
Let x25 of type ιιο be given.
Let x26 of type ιο be given.
Let x27 of type ιο be given.
Let x28 of type ιι be given.
Let x29 of type ιο be given.
Let x30 of type ιιι 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 ιι be given.
Let x35 of type ιο be given.
Let x36 of type ι be given.
Let x37 of type ι be given.
Let x38 of type ιιι be given.
Let x39 of type ιι be given.
Let x40 of type ι be given.
Let x41 of type ιιι be given.
Let x42 of type ιιο be given.
Let x43 of type ιιο be given.
Let x44 of type ι be given.
Let x45 of type ι be given.
Let x46 of type ι be given.
Let x47 of type ιο be given.
Let x48 of type ιο be given.
Let x49 of type ι 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 ιι be given.
Let x54 of type ιο be given.
Let x55 of type ιο be given.
Let x56 of type ιο be given.
Let x57 of type ιι be given.
Let x58 of type ιιο be given.
Let x59 of type ι be given.
Let x60 of type ιο be given.
Let x61 of type ιιο be given.
Let x62 of type ιιι be given.
Let x63 of type ι be given.
Let x64 of type ιο be given.
Let x65 of type ιι be given.
Let x66 of type ιι be given.
Let x67 of type ιιιιο be given.
Let x68 of type ιιο be given.
Let x69 of type ιιιιο be given.
Let x70 of type ι be given.
Let x71 of type ιο be given.
Assume H5: ∀ x72 x73 . x71 x73(x73 = x72False)x71 x72False.
Assume H6: ∀ x72 x73 . x0 x72 x73x71 x73False.
Assume H7: ∀ x72 . x71 x72(x72 = x70False)False.
Assume H8: ∀ x72 x73 x74 x75 x76 . (x1 x76False)x14 x76x2 x76x12 x72 (x13 x76)x3 x75x11 x75 (x13 x76) (x13 x76)x4 x75 (x13 x76) (x13 x76)x12 x75 (x9 (x10 (x13 x76) (x13 x76)))x5 x75 x76x8 (x13 x76) (x13 x76) x75 x72 = x72x6 x76 x72 (x7 x75 x72 x76) x72 (x8 (x13 x76) (x13 x76) x75 (x7 x75 x72 x76))x12 x73 (x13 x76)x12 x74 (x13 x76)(x6 x76 x73 x74 (x8 (x13 x76) (x13 x76) x75 x73) (x8 (x13 x76) (x13 x76) x75 x74)False)False.
Assume H9: ∀ x72 x73 x74 x75 x76 . (x1 x76False)x14 x76x2 x76x12 x72 (x13 x76)x3 x75x11 x75 (x13 x76) (x13 x76)x4 x75 (x13 x76) (x13 x76)x12 x75 (x9 (x10 (x13 x76) (x13 x76)))x5 x75 x76x8 (x13 x76) (x13 x76) x75 x72 = x72(x12 (x7 x75 x72 x76) (x13 x76)False)x12 x73 (x13 x76)x12 x74 (x13 x76)(x6 x76 x73 x74 (x8 (x13 x76) (x13 x76) x75 x73) (x8 (x13 x76) (x13 x76) x75 x74)False)False.
Assume H10: ∀ x72 x73 x74 . x0 x72 x73x12 x73 (x9 x74)x71 x74False.
Assume H11: ∀ x72 x73 x74 x75 . .......................................(...False)False.
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