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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 ιιο be given.
Let x4 of type ιο be given.
Let x5 of type ιο be given.
Let x6 of type ιι be given.
Let x7 of type ιιιο be given.
Let x8 of type ιιι be given.
Let x9 of type ιιιιιο be given.
Let x10 of type ιιι be given.
Let x11 of type ιιιιι be given.
Let x12 of type ιιι be given.
Let x13 of type ιιο be given.
Let x14 of type ιιιο be given.
Let x15 of type ιο be given.
Let x16 of type ιο be given.
Let x17 of type ιιιιο be given.
Let x18 of type ιο be given.
Let x19 of type ι be given.
Let x20 of type ιιι be given.
Let x21 of type ιιο be given.
Let x22 of type ιο be given.
Let x23 of type ι be given.
Let x24 of type ιι be given.
Let x25 of type ιιο be given.
Let x26 of type ιο be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ιιι be given.
Let x30 of type ιι be given.
Let x31 of type ι be given.
Let x32 of type ιιο be given.
Let x33 of type ι 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 ι be given.
Let x38 of type ιιο 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 ι be given.
Let x43 of type ιιι be given.
Let x44 of type ιιι be given.
Let x45 of type ιι be given.
Let x46 of type ιι be given.
Let x47 of type ιο be given.
Let x48 of type ι be given.
Let x49 of type ιιι be given.
Let x50 of type ιο be given.
Let x51 of type ιι be given.
Let x52 of type ιο be given.
Let x53 of type ιο be given.
Let x54 of type ιιο be given.
Let x55 of type ιιι be given.
Let x56 of type ι be given.
Let x57 of type ι be given.
Let x58 of type ιο be given.
Assume H5: ∀ x59 x60 . x58 x60(x60 = x59False)x58 x59False.
Assume H6: ∀ x59 x60 . x0 x59 x60x58 x60False.
Assume H7: ∀ x59 . x58 x59(x59 = x57False)False.
Assume H8: ∀ x59 x60 x61 . x0 x59 x60x2 x60 (x1 x61)x58 x61False.
Assume H9: ∀ x59 x60 x61 . x0 x60 x61x2 x61 (x1 x59)(x2 x60 x59False)False.
Assume H10: ∀ x59 x60 . x3 x60 x59(x2 x60 (x1 x59)False)False.
Assume H11: ∀ x59 x60 . x2 x60 (x1 x59)(x3 x60 x59False)False.
Assume H12: ∀ x59 x60 . (x4 x60False)x16 x60x5 x60x15 x59x7 x59 (x6 x60) (x6 x60)x14 x59 (x6 x60) (x6 x60)x2 x59 (x1 (x8 (x6 x60) (x6 x60)))x9 x60 (x10 x59 x60) (x12 x59 x60) (x11 (x6 x60) (x6 x60) x59 (x10 x59 x60)) (x11 (x6 x60) (x6 x60) x59 (x12 x59 x60))(x13 x59 x60False)False.
Assume H13: ∀ x59 x60 . (x4 x60False)x16 x60x5 x60x15 x59x7 x59 (x6 x60) (x6 x60)x14 x59 (x6 x60) (x6 x60)x2 x59 (x1 (x8 (x6 x60) (x6 x60)))(x2 (x12 x59 x60) (x6 x60)False)(x13 x59 x60False)False.
Assume H14: ∀ x59 x60 . (x4 x60False)x16 x60x5 x60x15 x59x7 x59 (x6 x60) (x6 x60)x14 x59 (x6 x60) (x6 x60)x2 x59 (x1 (x8 (x6 x60) (x6 x60)))(x2 (x10 x59 x60) (x6 x60)False)(x13 x59 x60False)False.
Assume H15: ∀ x59 x60 x61 x62 . ..............................(...False)False.
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